Pure Entelechy

Book Lambda (XII) of the Metaphysics sketches Aristotle’s brilliant and beautiful solution to the problems that have been under investigation in this work. The text of book Lambda itself, however, seems more like a series of fragments than the kind of tight, continuous development that characterizes the so-called “central books” Zeta (VII), Eta (VIII), and Theta (IX), or the books of Aristotle’s Physics.

He now clearly affirms that there is a first cause of all things — not only of their being what they are, but also of their motion. As a result, book Lambda presents a mix of philosophical theology and Aristotelian physics.

Aristotle has a very distinctive notion of what the first cause is. I would call this pure entelechy. I’m not aware that he literally uses that phrase, but he definitely says that the first cause is pure energeia (actuality, being-at-work, or fulfillment), and he very strongly identifies energeia with entelecheia (a new Greek word coined by Aristotle, meaning literally “in [it] end having”, or “being-at-work-staying-itself” in Sachs’ translation), for which I am using the English “entelechy”.

Entelechy is the theme that unifies Aristotle’s account of motion with the inquiry about why things are what they are. Motion is a kind of incomplete entelechy. The first cause, both of motion and of things being what they are — which he identifies with the good, that-for-the-sake-of-which, thought thinking itself, and what I would call a kind of pure delight — is a complete and pure entelechy. The concept of entelechy thus binds Aristotle’s physics together with his theology.

Apart from considerations related to the first cause, Aristotle normally distinguishes that-for-the-sake-of-which from the potentiality that is an internal source of motion in things. But he also says that every motion is for the sake of that toward which the potentiality inclines. And the first cause of all motion affects things purely as that-for-the-sake-of-which.

The kind of motion that best exemplifies entelechy is circular motion. Circularity is also a kind of figurative image or metaphor for entelechy. Continuous motion in a circle is in a sense always complete in the sense of unchangingly accomplishing its goal, and yet it is always ongoing. But not even the first motion is itself unconditionally complete as an entelechy, since it is still moving. Only the first cause is that.

For Aristotle, there is one thing that is directly moved by the first cause, and that is the sphere of the fixed stars, which also demarcates the most comprehensive whole of things that occupy space. Other motions are indirect consequences of this, which follow only in a conditional way.

The first cause is not just pure entelechy in the generic sense of a logical universal. It is a particular independent thing that turns out to be the unique exemplar of its kind.

In virtue of its unique relation to all other things, it plays the role of what Hegel would later call a concrete universal. Further, the unique character of that relation of “firstness” makes it an unconditioned concrete universal. This is the kind of unconditioned thing that Kant says reason is always reaching for, but that cannot be strictly known. It is also the kind of unconditioned thing that Hegel treats as the ultimate ground of intelligibility and value.

He begins by recalling that the path of the inquiry has approached “all things” by focusing on those sources and causes that make concrete independent things be what they are. Independent things turn out to be those that have some entelechy of their own, which exhibits greater self-determination than the minimal kind that applies to all motions. These include plants, animals, and the stars.

“Our study concerns thinghood, for it is the sources and causes of independent things that are being sought” (ch. 1, Sachs tr., p. 231).

“[E]verything changes from something that has being in potency to something that has being at-work” (ch. 2, p. 232).

All change for Aristotle is from something being potentially something to its being that same something in actuality or being-at-work or fulfillment. This is narrower than common English usage. In Physics book VII he says that “states, whether of the body or of the soul, are not alterations” (Collected Works, Barnes ed., vol. 1, p. 412).

“Now if something has being in potency, still this is not a potency to be any random thing, but a different thing comes to be from a different potency” (ibid).

Although one thing may have many potentialities, each of which may or may not be realized, each of these is a specific potentiality to be actual or at-work or fulfilled in some definite way.

“The kinds of thinghood are three, since the material is a this by coming forth into appearance (for whatever has being by way of contact, and not by having grown together, is material and underlies something else), while the nature of a thing is a this and an active condition into which it comes; and then the third kind is the particular thing that consists of these, such as Socrates or Callias” (ch. 3, p. 233).

He reminds us that when we speak of particular things, to avoid confusion we need to attend to whether we mean their matter, their form, or the composite consisting of both.

“Now things that cause motion are causes as being previously present, but things that are causes in the sense of rational patterns are simultaneous with what they produce” (p. 234).

Causes that are not of motion as such, but rather simply of being in a certain way, like form and that-for-the-sake-of-which, are not like more direct causes of motion in their mode of operation with respect to time. Their operation as causes does not involve a distinct externality related to a before and after, but rather unfolds immanently in their effects.

“Now there is a sense in which the causes and sources of different things are different, but there is a sense in which, if one speaks universally by way of analogy, they are the same for all things…. [B]ut the elements are different in different things, and the first cause that sets them in motion is also different in different things…. [B]ut still, over and above these, is the cause which, as the first of all things, sets all things in motion” (ch. 4, p. 234-236).

For Aristotle, everything has both a particular cause or causes, and a dependency on the first cause of all. The first cause of all operates through particular causes. This is the first time he has unambiguously implied that there is a first cause of all things. (In the middle above, when he speaks of “the first cause that sets them in motion”, this is not the first cause of all, but the first more specific cause of the motion in question.)

“Now since some things are separate while others are not separate, the former are independent things. And it is on account of this that all things have the same causes, because without independent things, attributes and motions are not possible. So then these causes will be, presumably, soul and body, or intellect, desire, and body. And in yet another way the sources of things are the same by analogy, namely being-at-work and potency, though these are both different and present in different ways in different things” (ch. 5, p. 236).

Once again, he recalls both the strategy of deriving the saying of being in the other categories from the saying of what independent things are, and the analogy by which the meanings of actuality and potentiality were illustrated. Again he emphasizes actuality and potentiality as sources of all things.

In passing, he seems to suggest thinking about human being in more specific terms of intellect and desire, rather than an undifferentiated soul. In the Nicomachean Ethics, he specifies that choice is grounded in a fusion of intellect and desire.

“Further, it is necessary to see that some things are possible to state universally, but others not. Now the primary sources of all things are a this that is first at work and something else which is in potency. So these are not the universal causes, since the source of particular things is particular; for a human being is the source of a human being universally, but no one is this universal, but rather Peleus is the source of Achilles and your father of you, and this particular B is the source of this particular BA, but B in general is the source of BA simply. And then, if the causes and elements of independent things are the sources of all things (but different ones of different ones), then as was said, of things not in the same class (colors and sounds, or independent things and quantity) they are different except by analogy; of things that are in the same kind they are also different, but not in kind, but because they are different for particular things, your material and form and mover from mine, though they are the same in their universal statement” (p. 237).

Again he emphasizes that particulars have particular causes. The kind of universality and operation that will be attributed to the first cause of all will be of a sort that respects this. He also again emphasizes that the primary sources of all things are particular actualities and potentialities.

“So as for seeking out what are the sources or elements of independent things and of relations and the of-what-sorts of things, and whether they are the same or different, it is clear that, since they are meant in more than one way, they do belong to everything, but when they have been distinguished they are not the same but different, except in one sense. And the causes of all things are the same in this sense — by analogy — because they are material, form, deprivation, and a mover, and the causes of independent things are the causes of all things in this sense — because when they are taken away everything is taken away; and further, the primary thing that is completely at work is the cause of all things. But the causes are different in this sense — they are as many as the primary contraries, described neither generically nor ambiguously, and as there are kinds of material as well. So what the sources are of perceptible things, and how many there are, and in what way they are the same and in what way different, have been said” (pp. 237-238).

At long last, we come to the argument that there really is a first cause of all things. Again he emphasizes that everything also has particular sources and causes.

“Now since there are three kinds of thinghood, two of them natural and one motionless, about the latter one must explain that it is necessary for there to be some everlasting motionless independent thing” (ch. 6, p. 238).

“For independent things are primary among beings, and if they were all destructible, everything would be destructible; but it is impossible for motion either to come into being or to be destroyed (since it always is), and impossible too for time” (ibid).

For Aristotle there is no first motion, or first moment in time. Instead, there must be an everlasting cause of motion.

“For if there were no time, there could be no before and after; and motion is continuous in just the way that time is; since time is either the same as or some attribute of motion” (ibid).

He points out that to speak of anything “before” there was any time is incoherent, since before and after presuppose time.

“But there is no continuous motion other than in place, and among these, other than in a circle” (ibid).

Only motion in a circle could continue forever. Space is vast, but Aristotle does not believe in infinite distances, so for him there could not be motion continuing forever in a straight line.

He seems to imply that the most fundamental motion of all — that of the fixed stars — provides a uniform measure for time. In modern terms, this is the earth’s rotation on its axis, as observed from a point on the earth. In the absence of evidence refuting what we see to be the case, he assumes that the stars forever rotate around the earth, and that the apparent motion of what is apparently the outermost sphere of the fixed stars is therefore a primary motion that spatially surrounds all things. If we take earth as the point of reference for whatever relativistic motions we see in the sky, this fits all the observational facts.

“But surely if there is something capable of moving and producing things, but not at work in any way, there will not be motion; for what has a potency admits of not being at work” (ibid).

Here he returns to the Physics sense of potentiality and actuality, and to the priority of the actual. Every potentiality is a source of motion that requires something external that is already an actuality of the same sort, in order for the potentiality to be actualized. The child requires a parent, the artifact a Platonic model.

“Therefore, there is no benefit even if we adopt everlasting independent things, as do those who bring in the forms, unless there is in them some source capable of producing change; moreover, even this is not enough, not even if there is another independent thing besides the forms, since if it is not going to be at work, there will not be motion” (ibid).

A pure form or logical universal that is not “actual” cannot explain motion. Once again, motion as the actualization of a potential depends on a pre-existing actuality.

“What’s more, it is not enough even if it will be at work, if the thinghood of it is potency, for there would not be everlasting motion, since what has being in potency admits of not being” (ibid).

Further, any first cause of motion must be everlasting, continuous, and unchanging in its action. That is to say, it must itself be purely actual, with no admixture of potentiality. It would not be sufficient to explain everlasting, continuous motion if the first cause just happened to be actual for some period of time.

“Therefore it is necessary that there be a source of such a kind that the thinghood of it is being-at-work. On top of that, it is necessary that these independent things be without material, for they must be everlasting, if indeed anything else is everlasting. Therefore they are being-at-work” (ibid).

As he just suggested, any first cause of all must therefore be a pure actuality with no potentiality. What Aristotle calls matter is kind of potentiality, so the first cause must have no matter either.

“For how will things have been set in motion, if there were not some responsible thing at work? For material itself, at any rate, will not set itself in motion” (p. 239).

“And this is why some people, such as Leucippus and Plato, bring in an everlasting activity, for they say there is always motion. But why there is this motion, and what it is, they do not say, nor the cause of its being in a certain way or some other way. For nothing moves at random, but always something must be present to it, just as now something moves in a certain way by nature, but in some other way by force or by action of intelligence or something else” (ibid).

It is not enough to simply posit motion. This does not explain anything.

“And then, what sort of motion is primary? For this makes so much difference one can hardly conceive it. But surely it is not possible for Plato to say what he sometimes thinks the source of motion is, which sets itself in motion; for the soul is derivative, and on the same level as the heavens, as he says” (ibid).

The thought here seems to be that if there is a first cause of motion, there must be a primary sort of motion that it primarily causes. For Aristotle, this is the movement of the fixed stars.

“Anaxagoras testifies that being-at-work takes precedence (since intellect is a being-at-work), as does Empedocles with love and strife, and so do those who say there is always motion, such as Leucippus; therefore there was not chaos or night for an infinite time, but the same things have always been so, either in a cycle or in some other way, if being-at-work takes precedence over potency. So if the same thing is always so in a cycle, it is necessary for something to persist always at work in the same way” (pp. 239-240).

If all things did not come from something that is an actuality or being-at-work or fulfillment, then they could only come from what the poets called “chaos and night”. But if all things came from chaos and night, there would be no hope of understanding anything. Aristotle suggests that several of his predecessors ought to have recognized the priority of actuality, as an implicit presupposition of what they did say.

“But since it is possible for it to be this way, and if it is not this way things will come from night and from ‘all things together’ and from not-being, these questions could be resolved; and there is a certain ceaseless motion that is always moving, and it is in a circle (and this is evident not only to reason but in fact), so that the first heaven will be everlasting” (ch. 7, p. 240).

He does not claim to positively know that actuality is necessarily prior to potentiality. He claims that the account is plausible, and that any alternative must lead back to sheer chaos, which would make it impossible for anything to be truly intelligible at all.

“Accordingly, there is also something that moves it. And since what is in motion and causes motion is intermediate, there is also something that causes motion without being in motion, which is everlasting, an independent thing, and a being-at-work” (ibid).

Behind each independent celestial motion, there must be some actual everlasting independent thing. Behind these, there must be something that is completely unmoved, and that is a pure actuality or being-at-work or fulfillment.

“But what is desired and what is thought cause motion in that way: not being in motion, they cause motion” (ibid).

For Aristotle, desire and thought are unmoved movers.

“But the primary instances of these are the same things, for what is yearned for is what seems beautiful, while what is wished for primarily is what is beautiful; but we desire something because of the way it seems, rather than its seeming so because we desire it, for the act of thinking is the beginning” (pp. 240-241).

Desire and thought both aim at what is good or beautiful. The way things seem — and consequently, the act of thinking or judging — drives wishing and willing, not vice versa. Further below, he will again emphasize the active rather than merely receptive role of thought.

“But the power of thinking is set in motion by the action of the thing thought, and what is thought in its own right belongs to an array of affirmative objects of which thinghood is primary, and of this the primary kind is that which is simple and at work” (p. 241).

Thinking itself is driven by the actuality of what it thinks. This does not negate his emphasis on thinking as act.

“But what is one and what is simple are not the same, for oneness indicates a measure, but what is simple is itself a certain way” (ibid).

The simplicity he attributes to the first cause is a stronger criterion than being one.

“But surely the beautiful and what is chosen in virtue of itself are also in that same array, and what is primary is always best, or analogous to it” (ibid).

First things are good and beautiful, and the first thing of all can be identified with the good and the beautiful.

“And that-for-the-sake-of-which is possible among motionless things, as the [following] distinction makes evident; for that-for-the-sake-of-which is either for something or belonging to something, of which the former is and the latter is not present among motionless things” (ibid).

Here he explicitly says that that-for-the-sake-of-which has a broader scope than any source of motion. Alone among the four kinds of causes, it provides ultimate reasons why things are what they are. Form may be identified with what things are, but that-for-the-sake of which is the cause of form and the reason why it is what it is.

“And it causes motion in the manner of something loved, and by means of what is moved moves other things” (ibid).

The highest kind of cause, that-for-the-sake-of-which, involves no force or compulsion or unconditional necessity. Other things are moved because they love it or are attracted by it, but they could not be so moved if they did not have their own sources of motion. They are not moved by some active power emanating from the first cause.

“But since there is something that causes motion while being itself motionless, this does not admit of being otherwise than it is in any respect at all” (ibid).

“For among changes, the primary one is change of place, and of this the primary kind is a circle, but this is what this mover causes” (ibid).

“Therefore [the first cause] is something that has being necessarily…. On such a source, therefore, the cosmos and nature depend” (pp. 241-242).

“And the course of its life is of such a kind as the best we have for a short time. This is so because it is always the same way (which for us is impossible), and because its being-at-work is also pleasure (which is what makes being awake, perceiving, and thinking the most pleasant things, while hopes and memories are pleasant on account of these)” (p. 242).

If we speak in terms of pleasure here, it would be of the highest possible sort. I think “pure delight” captures the meaning more clearly.

“And the thinking that is just thinking by itself is a thinking of what is best just as itself, and especially so with what is so most of all” (ibid).”

“But by partaking in what it thinks, the intellect thinks itself, for it becomes what it thinks by touching and contemplating it, so that the intellect and what it thinks are the same thing” (ibid).

And this, I say, is pure delight.

“For what is receptive of the intelligible and of thinghood is the intellect, and it is at work when it has them; therefore it is the being-at-work rather than the receptivity the intellect has that seems godlike, and its contemplation is pleasantest and best” (ibid, emphasis added).

He is saying that it is by virtue of the more perfect entelechy of intellect, which goes beyond the limited entelechy associated with motion — rather than intellect’s incidental touching or contemplation of something else — that intellect seems godlike. Here again he emphasizes the primarily active rather than receptive character of thought.

“So if the divine being is in this good condition that we are sometimes in, that is to be wondered at; and if it is in it to a greater degree than we are, that is to be wondered at still more. And that is the way it is” (ibid).

For Aristotle, the divine is not incommensurable with the human. Albeit in a very partial manner, we also partake of it, and the more so the more that we are moved by our highest values.

“But life belongs to it too, for the being-at-work of intellect is life, and that being is being-at-work, and its being-at-work is in itself the best life and is everlasting. And we say it is a god who everlastingly lives the best life, so that life and continuous and everlasting duration belong to a god; for this being is god” (ibid).

“That, then, there is an independent thing that is everlasting, motionless, and separate from perceptible things, is clear from what has been said. And it has also been demonstrated that this independent thing can have no magnitude, but is without parts and indivisible (for it causes motion for an infinite time, while no finite thing has an infinite power, and since every magnitude must be either finite or infinite, it cannot have magnitude, either finite, for the reason given, or infinite, because there is no infinite magnitude at all). But surely it has also been demonstrated that it cannot be affected or altered” (p. 243).

Sachs says in a note that the reference to a demonstration that the first cause is not involved with magnitude effectively incorporates the entire argument of the Physics by reference. Book VIII of the Physics has a far more thorough argument that there must be a first unmoved mover corresponding to the primary observable motion of the circling of the fixed stars, but that account does not address the what-it-is of things.

“But since… we see in addition to the motion of the whole heaven, other everlasting motions which belong to the planets…, it is necessary that each of these motions also be caused by something that is itself motionless and an everlasting independent thing. For the nature of the stars is for each to be an everlasting independent thing, while the mover is everlasting and takes precedence over the thing moved, and what takes precedence over an independent thing must be an independent thing” (ch. 8, p. 244).

The terrestrial independent things are mainly plants and animals. These have the richest entelechies among terrestrial perceptible things.

Aristotle also acknowledges each star participating in the motion of the heaven as an entelechy of its own. At least in a way, it is superior to ours, in that to all appearances it lasts forever.

The stars he calls planets are those that stand out by having observable independent motions of their own, different from the primary motion that they share with all the stars that are called “fixed” by contrast.

“[B]ut the number of motions is already something one must examine from that kind of mathematical knowledge that is the nearest kin to philosophy, namely from astronomy. For this kind makes its study about perceptible, everlasting thinghood, while the others, such as those concerned with numbers and with geometry, are not about thinghood at all” (ibid).

“[A]s for how many [independent motions] there happen to be, we now state what some of the mathematicians say, for the sake of a conception of it, … and as for what remains, it is necessary to inquire into some things ourselves, while listening to what other inquirers say about others. If something should seem to those who busy themselves with these matters to be contrary to what has just now been said, it is necessary to welcome both accounts, but trust the more precise one” (pp. 244-245).

“[F]or let the number that is necessary be left for more relentless people to say” (p. 246).

Apparently he made an arithmetic error counting the motions (“either 55 or 47”, where the 47 should have been 48, according the details I have not reproduced), then made a joke of it. I don’t believe Aristotle is very attached to specific enumerations of any sort. It is the principles upon which distinctions are based that matter.

“There has been handed down from people of ancient and earliest times a heritage, in the form of myth, to those of later times, that these original beings are gods, and that the divine embraces the whole of nature. The rest of it was presently introduced in mythical guise for the persuasion of the masses and into laws for use and benefit” (p. 247).

The divine embraces the whole of nature. We still name the planets by the Roman names for the Greek gods that were associated with them in antiquity.

Next he seems to respond to, or perhaps anticipate, doubts about what he said earlier about intellect.

“Now concerning the intellect there are certain impasses, for it seems to be the most divine of things that are manifest to us, but the way it is if it is to be of that sort contains some things that are hard to digest. For if it thinks nothing, what would be solemn about that? Rather, it would be just like someone sleeping. But if it does think, but something else has power over it, then, since it is not thinking but potency that is the thinghood of it, it could not be the best independent thing, for it is on account of its act of thinking that its place of honor belongs to it. And still, whether the thinghood of it is a power of thinking or an activity of thinking, what does it think?” (ch. 9, p. 247).

“For [what intellect thinks] is either itself or something else, and if it is something else, either always the same one or different ones. And then does it make any difference, or none, whether its thinking is of what is beautiful or of some random thing? Isn’t it even absurd for its thinking to be about some things? Surely it is obvious that it thinks the most divine and honorable things, and does not change, since its change would be for the worse, and such a thing would already be a motion” (p. 248).

Intellect will prefer the beautiful and the good over any random thing. Physics book VII much better explains why certain things that we are used to calling “changes” are not considered changes in his way of speaking.

“First, then, if it is not an activity of thinking but a potency, … it is clear that something else would be more honorable than the intellect, namely what it thinks…. Therefore what it thinks is itself, if it is the most excellent thing, and its thinking is a thinking of thinking” (ibid).

For a third time, he insists that intellect is primarily active, rather than receptive. Its main concern seems to be with whatever is most good and beautiful and honorable. It is a thinking of thinking — true higher-order thinking, rather than a first-order “thinking” of something external.

“But [the human soul’s] knowledge and perception and opinion and step-by-step thinking seem always to be about something else, and about themselves only as something secondary” (ibid).

The above seems to be in implicit contrast with the active thinking about which he was speaking just before. In this way, intellect in its own right is unlike the human soul.

“What’s more, if the thinking and the being thought are different, then in virtue of which of them does what is good belong to it? For to be an act of thinking and to be something thought are not the same” (ibid).

They are the same and yet not the same. Of course, this is in different respects. This is the model for many similar formulations in Hegel.

“Or is it rather that in some cases the knowledge is the thing it is concerned with, so that in the case of the kinds of knowing that make something, the thinghood without material and what it is for something to be, or in the case of the contemplative kinds of knowing, the articulation, is both the thing the knowledge is concerned with and the activity of thinking it? So since what is thought and what is thinking are not different with as many things as have no material, they will be the same, and the act of thinking will be one with what is thought” (ibid).

Here he suggests that we may after all be able to see instances of this identity by reflecting on our experiences of productive and contemplative knowing. Insofar as we actually know anything, we partially escape the inherent limitations of the human soul.

“But there is still an impasse left as to whether what is thought is composite, for then thinking would be changing among the parts of the whole. Or is it the case that everything that has no material is indivisible?” (pp. 248-249).

Implicitly, he seems to favor the latter alternative. Then twice more he speaks of intellect’s predilection for what is good and best.

“So the condition the human intellect, or that of any composite being, is in at some period of time (for it does not have hold of what is good at this or that time, but in some whole stretch of time it has hold of what is best, since that is something other than itself), is the condition the thinking that thinks itself is in over the whole of time” (p. 249).

Again, for Aristotle we have a little bit of the divine within us insofar as we have intellect, so there is no radical incommensurability between the divine and the human.

“One must also consider in which of two ways the nature of the whole contains what is good and best, whether as something separate, itself by itself, or as the order of the whole of things. Or is it present in both ways…?” (ch.10, p. 249).

Book Lambda’s final chapter ends with a quote from a speech by Odysseus in Homer’s Iliad. The whole chapter is oriented toward this literary image. At this point in the Iliad, the Greeks had been in complete disarray, a confused mass, but Odysseus’ words restore their morale and disciplined unity. (Notably, Odysseus was not the high king or commander-in-chief, though he was a leader. It was what he said that mattered.) Aristotle wants us to see this as a metaphorical answer to the question just posed. What is good and best must indeed be present in both ways — both as from the first cause, and as distributed and embodied throughout the whole — but he wants to emphasize that the “for the sake of which” of the first cause plays a real leading role, even though it does not govern by force.

“But beings do not present the aspect of being badly governed” (pp. 251-252).

As we have seen, this does not mean that all the facts of the world are as they ought to be. It does mean that life and the world are essentially good.

Next in this series: Reflections on Book Lambda

One, Many, Same, Different

Book Iota (X) of Aristotle’s Metaphysics extends the discussion in book Delta (V) of things said in many ways, going into detail on what makes things one, many, the same, or different. These are extremely important matters for any sound reasoning, though somewhat technical in nature. It also contains Aristotle’s sharp critique of the saying of Protagoras, “Man is the measure of all things”.

“[T]here are four senses in which something is said to be one primarily and in its own right, rather than incidentally” (ch.1, p. 185).

As to the first, “oneness belongs to what is continuous, either simply or, especially, by nature, and not by contact or a binding cord (and of these that is more so one and is more primary of which the motion is more indivisible and simple)” (ibid).

Continuity in a material is the lowest degree of something being one in its own right. That which is materially united by contact or by any artificial means would not be one in its own right.

As to the second, “[oneness] belongs still more to what is whole and has some form and look, especially if something is of that sort by nature and not by force, as those things are that are so by means of glue or bolts or being tied with a cord, but rather has in itself that which is responsible for its being continuous. And something is of this sort if its motion is one and indivisible in place and time; and so it is clear that, if something that has a source of motion that moves it in the primary kind of the primary class of motions (by which I mean a circular type of change of place), this is one magnitude in the primary sense” (ibid).

Being a whole is a higher degree of unity than being materially continuous. The association of circular motion with a strong unity is relevant to the upcoming argument in book Lambda (XII) about the first cause.

“So some things are one in this way, insofar as they are continuous or whole, but others are one because the articulation of them is one, and of this sort are those things of which the thinking is one, and this in turn is of this sort if it is indivisible, and an act of thinking is indivisible if it is of something indivisible in form or in number” (ibid, emphasis added).

As to the third, “a particular thing is one by being indivisible in number” (ibid, emphasis added).

These would include all the independent and non-independent things that were extensively discussed in book Zeta (VII).

He continues, “but that which is one by means of intelligibility and knowledge is indivisible in form, so [fourth] what is responsible for the oneness of independent things would be one in the primary sense” (ibid, emphasis added).

I expect that this last kind will turn out to be the first cause.

“But it is necessary to notice that one must not take the sorts of things that are spoken of as one as being meant in the same way as what it is to be one, or what the articulation of it is” (p. 186).

This is analogous to the distinction between saying something about something in general, and saying what something is, also discussed in book Zeta. He illustrates this below, with the example of fire.

“The same thing would also be the case with ‘element’ and ’cause’, if one had to speak about them, distinguishing the things to which the words are applied, and giving a definition of the words. For there is a sense in which fire is an element… and a sense in which it is not; for being fire is not the same thing as being an element…. And it is that way also with ’cause’ and ‘one’ and all such things, and this is why being one is being indivisible, just exactly what it is to be a this, separate on its own in either place or form or thinking, or to be both whole and indivisible, but especially to be the primary measure of each class of things, and, in the most governing sense, of the class of things with quantity, for it has come from there to apply to other things” (ibid).

Being one in the third sense above (being a particular thing) is now said to be “just exactly what it is to be a this“. This foreshadows an extensive one-to-one mapping he will develop below, between all the ways of the saying of being he elaborates in book Delta (V), and the ways of the saying of oneness.

He goes on to speak at some length about measures, which we would call units of measurement.

The most important point is that “a measure is always the same kind of thing as what it measures, for the measure of magnitudes is a magnitude, and in particular, that of length is a length, of breadth a breadth, of spoken sounds a spoken sound, of weight a weight, and of numerical units a numerical unit” (p. 188, emphasis added).

The distinction he makes here tracks perfectly with the way that different types, dimensions, and variables are handled separately in the operations defined by modern mathematics.

“And we speak of knowledge or sense perception as a measure of things for the same reason, because we recognize something by means of them, although they are measured more than they measure” (ibid).

The simultaneously humorous and serious caveat that “they are measured more than they measure” means that knowledge and perception are constrained by reality. More precisely, they are involved in mutual dependencies with the realities of things that they at once measure and are measured by.

“And Protagoras says a human being is the measure of all things, as if he were saying that a knower or perceiver were the measure, and these because the one has knowledge and the other perception, which we say are the measures of their objects. So while saying nothing, these people appear to be saying something extraordinary” (ibid).

Aristotle, at the end of his discussion of measure (longer and more detailed than included here), refers to Protagoras’ famous saying, commonly quoted as “Man is the measure of all things”. With uncharacteristic sharpness, he calls this “saying nothing”. Why? This seems worthy of a short digression.

Protagoras was a prominent Sophist, who appears in Plato’s dialogue of the same name. He wrote a controversial treatise entitled Truth, which began with the sentence, “Of all things the measure is man: of those that are, that they are; and of those that are not, that they are not”. Plato and Aristotle both took Protagoras to be asserting a kind of individualist relativism. Reportedly, the skeptic Sextus Empiricus also read him this way. Plato took him to deny any objective reality. Aristotle in book Gamma (IV) shows rare outrage at his other reported claim that “it is not possible to contradict”. I didn’t mention him by name in my account, but Aristotle names him there as well.

Aristotle implies it is a bit more plausible to much more specifically say that knowledge and perception are measures of things, but even that only with the caveat that really “they are measured more than they measure”.

But why go on to add with such sharpness that Protagoras is “saying nothing”? I suspect the answer may lie with the other part of Aristotle’s interpretation: “as if he were saying that a knower or perceiver were the measure, and these because the one has knowledge and the other perception”.

I’m inclined to think Aristotle would regard it as outrageous to transfer what may (ambiguously) be said of specific knowledge and perception, to an unqualified saying about one who is said to possess knowledge and perception in general.

Aristotle has just given an account of what a measure is, that it must be of the same kind as the things that it measures. How could one thing (“man”) possibly be the measure of countless things that have no common measure? That does sound like nonsense. Any measure has to be of one kind or another. Modern mathematics agrees that kinds, dimensions, variables can only be collapsed together if very specific criteria are met.

What Aristotle emphasizes here about knowledge and perception — that they have a remarkable involvement with things that also measure them — seems very consistent with his general views. But the way Protagoras implicitly presents “man” as their possessor makes the possessor stand apart from the mutual involvement with things that Aristotle emphasizes, in which knowledge and perception and things measure one another. In splendid isolation from all constraints of real measure, the possessor seems to have arbitrary freedom to claim whatever she wishes.

I intuitively associate Protagoras with the attitude that what’s true for you is true for you, but what’s true for me is true for me, so don’t tell me I’m wrong, and I won’t tell you you’re wrong! Then and now, such sentiments had and have a superficial appeal, because they seem to express a live-and-let-live attitude, which seems to be a good thing. But the way it is expressed, in fact it completely undermines any possibility of meaningful dialogue, which undermines reason itself, which undermines the very thing that makes us human.

Back to the text, Aristotle turns to illustrating the one-to-one mapping I mentioned between sayings about being and sayings about oneness.

“[S]ince not even being itself is an independent thing as though it were some one thing capable of having being apart from the many beings (since it is common to them), other than solely as a thing attributed to them, it is clear that oneness is not a universal either” (ch. 2, p. 189).

For Aristotle, neither Being nor the One is an independent thing in its own right. He will nonetheless argue in book Lambda (XII) that there is a first cause for all things.

“What’s more, what is true about oneness must hold true in a similar way for all things; and being and oneness are meant in equally many ways” (ibid).

“And the same account applies also to the other classes of things, … and [if] in all instances it is the case both that the number is a number of something and that oneness is some particular one thing, and oneness itself is not the thinghood of it, then it must also be the same way with independent things” (p. 190).

“[S]o too in thinghood, one independent thing is oneness itself; and that oneness in a certain way means the same thing as being, is clear from the fact that it follows along equally through the ways being is attributed, and is not any one of them (for instance, it is not what anything is, nor of-what-sort anything is, but stands similarly toward them just as being does), and from the fact that no other thing is predicated in ‘one human being’ over and above what is predicated in ‘human being’ (just as being is not something over and above what and of-what-sort and how-much a thing is), or in ‘being one’ over and above being any particular thing” (ibid).

Saying something is one human being is the same as saying it is a human being. In book Zeta, he analogously said that “good” and “being good” are the same.

Things are often one in one respect, but many in another. The one and the many are “contraries, and not opposed as contradictories or as what are called relative terms” (ch. 3, p. 190). Next he turns to the meanings of same, other, and different.

“Since the same is meant in more than one way, in one way we sometimes speak of what is the same in number, but we say it in another sense if things are one in meaning as well as in number, as you are one with yourself in both form and material, and in another again if the articulation of the primary thinghood of things is one, for instance in the way equal straight lines are the same, … but in these equality is oneness” (p. 191).

In Fregean terms, things are what Aristotle calls one in number when they have the same reference. They are what Aristotle calls one in meaning when they have the same sense. Frege illustrates how they differ by saying that the morning star and the evening star have the same reference, but different sense.

“Things are alike if, not being simply the same, nor without difference in their composite thinghood, they are the same in form, just as a larger square is like a smaller one…. Other things are alike if they have the same form, and have it in them to be more and less, but are neither more nor less than one another. Other things, if they are the same attribute, and one in form, say white, more and less intensely, people say are alike because their form is one. Other things are alike if they have more things the same than different, either simply or superficially, as tin is like silver insofar as it is white, and gold is like fire insofar as it is yellow and fiery-red” (ibid).

“So it is clear also that other and unlike are meant in more than one way” (ibid).

“[B]ut difference is something other than otherness…. [W]hat is different from something is different in some particular respect, so it must necessarily be the same in some respect as that with which it differs” (p. 192).

For Aristotle, calling two things different presupposes that they can be meaningfully compared in the first place. This is not the case for things that are just “other” than one another. Black is different from white; they are both colors. But an apostrophe is just other than an aardvark.

This is followed by a ten-page discussion of technical details of contrariety, which I will mostly skip. Contrariety supports a definitive ruling out of some things based on other things. This has great importance for reasoning.

Incidentally, Aristotle explains why there is no essential difference between human beings with different colorings.

“And since one sort of thing is articulation while another is material, those contrarieties that are in the articulation make a difference in species, but those that are in what is conceived together with the material do not make such a difference. This is the reason that whiteness of a human being, and blackness, do not make such a difference…. For there is a difference between a white human being and a black horse, but that is not insofar as the one is white and the other is black” (ch. 9, pp. 201-202).

Finally, he argues that destructibility and indestructibility inhere in things by necessity. Whether a thing is destructible or not depends strictly on what genus of things its species belongs to.

“[A] destructible thing and an indestructible thing must be different in genus…. Therefore it is necessary that destructibility either be the thinghood or be present in the thinghood of each destructible thing; and the same argument also concerns the indestructible, since both are among things present by necessity” (ch. 10, p. 202).

Next in this series: Toward a First Cause

Potentiality and Actuality

Here I will treat what Aristotle says about potentiality and actuality in Metaphysics book Theta (IX). On this closer reading, I was initially disappointed that he did not say more about how potentiality and actuality provide the detailed basis for the “internal” teleology that is at the core of his thinking. But on further reflection, perhaps this is another case of what I have elsewhere appreciated as a kind of careful minimalism.

“[L]et us make distinctions also about potency [aka potentiality] and complete being-at-work [aka actuality], and first about potency in the sense in which it is meant most properly, although it is not the sense that is most useful for what we now want. For potency and being-at-work apply to more than just things spoken of in reference to motion. But when we have discussed them in this sense, we will make clear their other senses in the distinctions that concern being-at-work” (ch. 1, Sachs tr., p. 167).

This most elementary sense of what I prefer to guardedly call potentiality was originally developed in the Physics, in connection with the theory of what he broadly calls “motion”. Here, he will ultimately extend it to cases that do not involve motion in this sense. I tend to think of the latter cases as primary.

“[A]s many [senses of potency] as point to the same form are all certain kinds of sources… of change in some other thing or in the same thing as other. For one kind is a power of being acted upon, which is a source in the acted-upon thing itself of passive change by the action of something else or of itself as other; another is an active condition of being unaffected for the worse…. And these potencies are in turn spoken of as only acting or being acted upon, or as acting and being acted upon” (pp. 167-168).

This is a thin, elementary definition, like that of substance in the Categories, with no mention of potentiality’s important role in Aristotle’s teleology. Until recently, working mostly from memory, I had not been thinking about what he calls “sources” (something strictly broader than “causes”) at all, or about this Physics sense of potentiality that is specifically a “source” of motion.

In the Physics, motion is in fact defined in terms of elementary versions of potentiality and actuality. Aristotle says “thus the fulfillment [actuality, being-at-work] of what is potentially, as such, is motion — e.g., the fulfillment of what is alterable, as alterable, is alteration; of what is increasable and its opposite, decreasable… increase and decrease; of what can come to be and pass away, coming to be and passing away; of what can be carried along, locomotion” (book III ch. 1, Collected Works, Barnes ed., vol. 1, p. 343).

I rather like the Collected Works translators’ choice of “fulfillment” as an English alternative to “actuality” or “being-at-work”. Grounded more in what Aristotle says about energeia than in the etymology of the new Greek word he coined for it, it does nicely capture the teleological role of actuality. Translation is often not a simple affair.

The Physics definition of motion, though, is a tricky thought: the actuality of something that as such is a potentiality. This illustrates that there can be a kind of layering with respect to these terms.

“And it is clear that there is a sense in which the potency of acting and being acted upon is one (since something is potential both by means of its own potency to be acted upon and by something else’s potency to be acted upon by it), but there is a sense in which they are different” (p. 168).

The way in which these potentialities of acting and being acted upon are said to be “one” is structurally similar to what he says in On the Soul and Metaphysics book Lambda about thought and the thing thought being one. It seems like Aristotle might consider that to be one case of this.

“[A]ll the arts and productive kinds of knowledge are potencies” (ch. 2, p. 169).

This sort of case is very important to remember when considering the meanings of “potentiality” or “source of motion”. When he is speaking the most carefully, Aristotle says the art of building is the primary “source of motion” for the building of a house.

“And all potencies that include reason are capable of contrary effects, but with the irrational ones, one potency is for one effect, as something hot has a potency only for heating, while the medical art is capable of causing disease or health” (ibid).

He treats this thesis about rational potentialities producing “contrary” effects as important. The sense seems to be that because the actualization of rational potentialities involves practical judgment about what is appropriate in a given situation, the judgment can go wrong, leading to the production of the “opposite” of the intended effect. Heat and similar things can’t “go wrong” in this way,

“And it is clear that, with the potency of doing something well, the potency of merely doing or suffering it follows along, while the former does not always follow along with the latter, since the one doing something well necessarily also does it, but the one merely doing it does not necessarily also do it well” (ibid).

This is a nice incidental mention of the normative dimension involved in all practical doing, though the technical point is about what cases include what other cases.

“There are some people, such as the Megarians, who say that something is potential only when it is active, but when it is not active it is not potential…. The absurd consequences of this opinion are not difficult to see…. [T]hese assertions abolish both motion and becoming. For what is standing will always be standing and what is sitting always sitting, since it will not stand up if it is sitting” (ch. 3, p. 170).

The Megarian logicians claimed that potentiality has no reality of its own — that everything that is, is actual. This position results in paradoxes similar to those following from the claims of Parmenides about non-being and being.

“What is capable is that which would be in no way incapable if it so happened that the being-at-work of which it is said to have the potency were present” (p. 171).

This is another specification I had lost track of working mainly from memory. I’m not sure how it would apply to his example of arts and productive knowledge, which comes closest to the extensions of Aristotelian potentiality that I have suggested (to characterize recent notions of both the “space of reasons” and “structure” as belonging to potentiality).

“And the phrase being-at-work, which is designed to converge in meaning with being-at-work-staying-complete [entelechy], comes to apply to other things from belonging especially to motions” (ibid).

This seems to be an application of Aristotle’s frequent distinction between how things are “for us” and how they are “in themselves”. The appeal to motion as a basis for understanding being-at-work or actuality is an appeal to common experience. But further below, he will contrast motion with being-at-work in a fuller sense.

He goes on to make a number of logical distinctions.

“[I]t cannot be true to say that such-and-such is possible, but will not be the case” (ibid).

(When we say something will not be the case, we are also implicitly saying there is no possibility that it will be the case. Therefore, it cannot be possible, and the statement contradicts itself.)

Potentiality is a more specific notion than possibility, but it seems that whatever is potential must also be possible, and therefore the generalization about possibility applies to all cases of potentiality.

“For the false and the impossible are not the same thing; for that you are now standing is false, but not impossible” (ch. 4, p. 172).

Similarly, generalizations about impossibility also apply to the more specific notion of potentiality.

“[I]t is also clear that, if it is necessary for B to be the case when A is, it is also necessary for B to be capable of being the case when A is capable of being the case” (ibid).

If there is a relation of necessity between actual things, then logically there must be a corresponding relation of necessity between the corresponding potential things. Possibility and necessity are the two most basic modalities in modern modal logic.

“Of all potencies, since some are innate, such as the senses, while others come by habit, such as that of flute playing, and others by learning, such as the arts, some, those that are by habit and reasoning need to have previous activity, while others that are not of that kind, and apply to being acted upon, do not need it” (ch. 5, p. 172).

For Aristotle, a sense like vision is to be understood first of all as a potentiality for the complete act of actually seeing. All other details — of optics, of physiology, of the operations of imagination, of what modern people might call the consciousness of seeing — that are conditions of the complete act, are subordinate to the complete act itself as a realized end. This is a good example of how Aristotle uses teleology to organize and coordinate other sorts of explanation.

The distinction between by “habit” (hexis, or acquired disposition) and by learning does not seem to be strict. Further below, he mentions practicing in order to play the harp as a form of learning, rather than habit. I think he is speaking casually both times. One might even say that all habits are learned; at the very least, they are acquired. (This broader term related to “second nature” seems to have been particularly important for al-Farabi, who uses it in his classic neoplatonizing elaboration of the Aristotelian theory of intellect.)

“[With irrational potencies] it is necessary, whenever a thing that is active and a thing that is passive in the sense that they are potential come near each other, that the one act and the other be acted upon” (pp. 172-173).

This formulation is surprising. I don’t understand why the qualification he applies immediately below for the case of rational potentialities (“not in every situation but when things are in certain conditions”) would not also apply to irrational potentialities. The distinction between the “rational” and “irrational” cases is based on presence or absence of a dimension of desire or choice, which seems not to affect the relevance of situations and conditions.

“[B]ut with [rational potencies] this is not necessary…. It is necessary, therefore, that there be something else that is governing; by this I mean desire or choice. For whatever something chiefly desires is what it will do whenever what it is capable of is present and it approaches its passive object…. not in every situation but when things are in certain conditions” (p. 173).

“Since what concerns the kind of potency that corresponds to motion has been discussed, let us make distinctions about being-at-work, to mark out both what it is and what sort of thing it is. For that which is potential will also be clear at the same time to those who make distinctions, since we speak of the potential not only as that which is of such a nature as to move some other thing or be moved by something else, … but also in another way, and it is because we are inquiring after that other meaning that we went through this one” (ch. 6, p. 173).

He explicitly says he will not define actuality or being-at-work, but instead suggests that we infer a pattern from a series of examples. Actually, it turns out that the more abstract pattern he is thinking of includes two distinct variants.

“The other way these things are present is in activity. And what we mean to say is clear by looking directly at particular examples, nor is it necessary to look for a definition of everything, but one can see at a glance, by means of analogy, that which is as the one building is to the one who can build, and the awake to the asleep, and the one seeing to the one whose eyes are shut but who has sight, and what has been formed out of material to the material, and what is perfected to what is incomplete…. But not all things that are said to be in activity are alike, except by analogy…. For some of them are related in the manner of a motion to a potency, others in the manner of thinghood to a material” (pp. 173-174).

At the end, he is now saying that motion and substance-essence-thinghood are the two alternate kinds of actuality or being-at-work. Motion is the “imperfect” kind that is still in process of realization, and substance-essence-thinghood is the “perfect” or “complete” kind that is an entelechy.

“And since, of the actions that do have limits, none of them is itself an end, but it is among things that approach an end, (such as losing weight, for the thing that is losing weight, when it is doing so, is in motion that way, although that for the sake of which the motion takes place is not present), this is not an action, or at any rate not a complete one; but that in which the end is present is an action. For instance, one sees and is at the same time in a state of having seen, understands and is at the same time in a state of having understood, or thinks contemplatively and is at the same time in a state of having thought contemplatively, but one does not learn while one is at the same time in a state of having learned, or get well while in a state of having gotten well. One does live well at the same time one is in a state of having lived well, and one is happy at the same time one is in a state of having been happy” (p. 174).

“And it is appropriate to call the one sort of action motion, and the other being-at-work. For every motion is incomplete: losing weight, learning, walking, house-building…; but one has seen and is at the same time seeing the same thing, and is contemplating and has contemplated the same thing. And I call this sort of action a being-at-work, and that sort a motion. So that which is by way of being-at-work, both what it is and of what sort, let it be evident to us from these examples” (pp. 174-175).

Motion and being-at-work are both said to be forms of “action”. Anything broad enough to comprehend both of these will not fit common connotations of the English word “action”, so we need to recognize that it is being used in a special sense closer to “activity”, which seems better suited to something that includes both.

“Now when each thing is in potency and when not must be distinguished, since it is not the case at just any time whatever…. Then it would be just as not everything can be healed, by either medical skill or chance, but there is something that is potential, and this is what is healthy in potency” (ch. 7, p. 175).

The reference to time does not seem to be essential. What seems decisive for these distinctions are the possibly blocking circumstances or “conditions” mentioned earlier.

“And since the various ways in which something is said to take precedence have been distinguished, it is clear that being-at-work takes precedence over potency. And I mean that it takes precedence not only over potency as defined, … but over every source of motion or rest in general. For nature too is in the same general class as potency, since it is a source of motion, though not in something else but in a thing itself as itself” (ch. 8, p. 177).

This is the first of several iterations on the precedence of actuality or being-at-work over potentiality. The way that he respectively defines potentiality and nature as sources of motion, they are strict logical complements of one another, so he is implying that all sources of motion are either natures or potentialities.

“And this is why it seems to be impossible to be a house-builder if one has not built any houses, or a harpist if one has not played the harp at all; for the one learning to play the harp learns to play the harp by playing the harp, and similarly with others who learn things…. But since something of what comes into being has always already come into being, and in general something of what is in motion has always already been moved…, presumably the one who is learning must also already have something of knowledge” (p. 178).

Aristotle’s account of the precedence of actuality over potentiality might be the origin of the “always already” theme. This is also the root of many interesting things that Hegel says about Wirklichkeit (commonly translated as “actuality”, with Aristotle in mind).

“But surely [being-at-work] takes precedence in thinghood too, first because things that are later in coming into being take precedence in form and in thinghood (as a man does over a boy, or a human being over the germinal fluid, since the one already has the form, and the other does not), and also because everything that comes into being goes up to a source and an end (since that for the sake of which something is is a source, and coming to be is for the sake of an end), but the being-at-work is an end, and it is for the enjoyment of this that the potency is taken on. For it is not in order to have the power of sight that animals see, but they have sight in order to see, and similarly too, people have the house-building power in order that they may build houses, and the contemplative power in order that they may contemplate; but they do not contemplate in order that they may have the contemplative power, unless they are practicing, and these people are not contemplating other than in a qualified sense, or else they would have no need to be practicing contemplating” (ibid).

Here he implicitly mentions the teleological aspect, referring to ends and that-for-the-sake-of-which.

Sachs aptly comments, “How does nature display that a squirrel has reached the completion for the sake of which it exists? In the spectacle of the squirrel at work being a squirrel…. Aristotle is arguing that the very thinghood of a thing is not what may be hidden inside of it, but a definite way of being unceasingly at-work, that makes it a thing at all and the kind of thing it is” (p. 179n).

(I would say “is what it is” instead of “exists” in the part about the squirrel.) The other part, that thinghood is not hidden inside things, but rather manifest in their ways of being at work, makes me think of what Hegel says about essence.

“[T]he putting to use of some things is ultimate (as seeing is in the case of sight…), but from some things something comes into being….[O]f those things from which there is something else apart from the putting-to-use that comes into being, the being-at-work is in the thing that is made…; but of those things which have no other work besides their being-at-work, the being-at-work of them is present in themselves (as seeing is in the one seeing and contemplation in the one contemplating, and life is in the soul, and hence happiness too, since it is a certain sort of life). And so it is clear that thinghood and form are being-at-work” (p. 179).

The last sentence is a principal new conclusion of book Theta: substance-essence-thinghood and form are both said to be cases of actuality or being-at-work.

Since actuality or being-at-work has already been identified with entelechy, this means that both independent things and (some) forms are now also being said to be entelechies. In the case of independent things, this is not surprising, given everything that was said about them in book Zeta. In the case of forms, I suspect he means that those forms that are souls are entelechies.

“But being-at-work takes precedence in an even more governing way; for everlasting things take precedence in thinghood over destructible ones, and nothing that is in potency is everlasting…. Therefore nothing that is simply indestructible is simply in potency (though nothing prevents it from being potentially in some particular respect, such as of a certain sort or at a certain place), and so all of them are at work. And none of the things that are by necessity is in potency (and yet these are primary, since if they were not, nothing would be), nor is motion, if there is any everlasting one; … and this is why the sun and moon and the whole heaven are always at work” (p. 180).

Aristotle generously calls everything “everlasting” that is apparently so, and for which he has no evidence to the contrary.

“And things that undergo change, such as earth and fire, mimic the indestructible things, since they too are always at work, for they have motion in virtue of themselves and in themselves” (p. 181).

What Aristotle calls matter is not itself alive, but nonetheless he says it has intrinsic motion. Motion, as we saw above, is defined in implicitly teleological terms in the Physics, using both potentiality and actuality. This is how the behavior of inanimate matter for Aristotle ends up having teleological characteristics.

“And that being-at-work is a better and more honorable thing than a potency for something worth choosing, is clear from these considerations. For whatever is spoken of as being potential is itself capable of opposite effects…. And in the case of bad things, it is necessary that the completion and being-at-work be worse than the potency…. Therefore it is clear that there is nothing bad apart from particular things, since the bad is by nature secondary to potency. Therefore among things that are from the beginning and are everlasting, there is nothing bad, erring, or corruptible” (ch. 9, pp. 181-182).

Things that don’t measure up to what they are supposed to be are “bad” examples of the kind of things that they are. I am surprised that he speaks of any “completion and being-at-work” of bad things at all.

“And geometrical constructions are discovered by means of activity, since it is by dividing up the figures that people discover them…. And so it is clear that the things that are in the figures in potency are discovered by being drawn into activity, … and for this reason it is only those who make a construction who know it” (p. 182).

Aristotle seems to anticipate the attitude of mathematical constructivism.

“[B]ut the most governing sense [of being and not being] is the true or the false…. For it is necessary to examine in what way we mean this. For you are not pale because we think truly that you are pale, but rather it is because you are pale that we who say so speak the truth” (ch. 10, p. 183).

I was a bit surprised when he earlier ruled out further discussion of being in the sense of the true and false attributed to the “is” or “is not” used to form propositions. But here, he goes on to speak of a different notion of truth, which seems to be more like metaphorically “grasping” an essence.

“But now for things that are not compound, what is being or not being, and the true and the false? For the thing is not a compound, so that it would be when it is combined and not be if it is separated, like the white on a block of wood or the incommensurability of the diagonal; and the true and false will not still be present in a way similar to those things. Rather, just as the true is not the same thing for these things, so too being is not the same for them, but the true or false is this: touching and affirming something uncompounded is the true (for affirming is not the same thing as asserting a predication), while not touching is being ignorant (for it is not possible to be deceived about what it is, except incidentally). And it is similar with independent things that are not compound, since it is not possible to be deceived about them; and they are all at work, not in potency, for otherwise they would be coming into being and passing away, but the very thing that is does not come to be or pass away, since it would have to come from something. So it is not possible to be deceived about anything the very being of which is being-at-work, but one either grasps it or does not grasp it in contemplative thinking; about them, inquiring after what they are is asking whether they are of certain kinds or not” (p. 184).

What is meant to be included under “independent things that are not compound” and “anything the very being of which is being-at-work” — about both of which it is said to be impossible to be deceived — has yet to be specified.

The “grasping” and “touching” metaphors here need not be taken as literally implying a kind of immediate experiencing. The next book will be explore at length the ways in which things are one, and thus form wholes. I think the implicit emphasis here is on a grasping of things as integral wholes. When we think of an essence as an integral whole, either we get it or we don’t, just as he says here. How we are able to do this is another question, not addressed here, but I think that for rational animals, the immediacy of grasping an essence can only be what Hegel would call a “mediated” immediacy.

“The true is the contemplative knowing of these things, and there is no falsity, nor deception, only ignorance, and not the same sort of thing as blindness; for blindness would be as if someone were not to have the contemplative power at all” (ibid).

Next in this series: One, Many, Same, Different

The Innovation of Potentiality-Actuality

The couple dynamis/energeia (for lack of better English terms, potentiality and actuality) has excited my imagination for nearly 50 years. There are at least three huge, unprecedented innovations in Aristotle’s concept, which I find still immensely and freshly relevant today.

From the pre-Socratics all the way to the present, the great majority of attempts at ultimate explanation have aimed at a monomorphic account of some sort or other — an account in a single shape, whether in the form of simple assertions about how things are, or of an elaborate system following a single order of development. Against this background, Aristotle’s thinking stands out as richly polymorphic and polyphonous. Things are analyzed as said in many ways; multiple kinds of causes are investigated for the same thing; necessity is hypothetical rather than categorical. The innovation of the potentiality/actuality pair gives a whole extra dimension to all of this. The concrete comes to be teeming with alternatives, but without falling into arbitrariness. Things aren’t just what they are, full stop, and they don’t just follow a single, predetermined trajectory, but at the same time there is supple coherence and meaning everywhere. Potentiality itself is polymorphic; we don’t have just one potential, but many. But it is also bound to concrete reality.

Second, Aristotle puts actuality before potentiality, reversing the logical order of precedence implicitly followed by nearly everyone else, before and since. This has all sorts of implications. It directs our attention toward the concrete. It gives positive ethical value to concrete manifestation and particular being. It supersedes the arbitrary or random aspect of mere logical possibility, while still leaving flexibility in things through the additional dimension of potentiality. Potentiality is not abstract possibility.

Third, actuality is not factuality. It is through-and-through a normative concept of the realization of an end that may or may not be achieved. Since potentiality is defined by its relations to actuality, it acquires a normative aspect as well. Each potentiality is a capability for realizing a definite end, not just a general ability to do things. Thinking in terms of actuality and potentiality puts what Aristotle calls that-for-the sake-of-which and the good first in the order of explanation.

Reaching this point in my own modest textual commentary on the Metaphysics thus has a bit of the feeling of glimpsing the promised land. With such extraordinarily high expectations, the beginning of a more disciplined confrontation of the text of book Theta (IX) has been sobering. There are gaps between what I imagine it ought to say and what it does say, and I find the remainder of the text of the Metaphysics to be quite uneven. This may in part have to do with ancient editing of the manuscripts, and the loss of many more Aristotelian writings (see The Unity of Aristotle’s Metaphysics; Fortunes of Aristotle). But from internal references in the text, some of the issues seem to belong to the original.

I have several frustrations with the text of book Theta. In spite of the importance for Aristotle of conceptually putting actuality before potentiality, the account of potentiality is placed first in the text. Then for some reason he makes the choice to focus almost entirely on potentiality’s relation to the causing of motion as discussed in the Physics, even while acknowledging that this is “not the sense that is most useful for what we now want” (Sachs tr., p. 167). What we now want, in my opinion, is an account relating the original and distinctive aspects of potentiality and actuality to Aristotle’s original and distinctive view of that-for-the-sake-of-which and its ultimate relation to the good as first in the order of explanation. This ought to be the crown jewels of the whole Metaphysics. But the way it is presented, it falls short of what I would hope for. Later books partly make up for what is missing here, but on many points we are left to read between the lines. This leaves Aristotle’s overall message less clear than we might wish. However, I am extremely impressed with what Gwenaëlle Aubry has managed to pull out from it.

Next in this series: Potentiality and Actuality

Toward Potentiality and Actuality

With the discussion of independent things, the saying of what they are, and the provision for deriving sayings in the other categories from this, we have taken simple saying in the various senses of Aristotle’s Categories about as far as it can go. Although higher dialectical aspects will emerge in what is yet to come, I think the main results of Metaphysics book Zeta (VII) are qualified well enough to be counted by Aristotle as a permanent acquisition that will still be enhanced, but never rolled back.

Aristotelian saying is far from exhausted by saying in the syntactic senses of the Categories, however. We have yet to touch upon its all-important normative aspect, and the corresponding saying of things with an additional modal dimension of potentiality or actuality. This will be intimately involved with that-for-the-sake-of-which (see also Aristotle on Explanation). Book Eta (VIII), treated here, serves as a transition to the main discussion of potentiality and actuality that lies ahead in book Theta (IX).

For Aristotle (and Hegel as well), to say that something is actually X is to judge that it has achieved and is stably continuing to achieve a full expression of what it is to be X, which means it is actively fulfilling that for the sake of which X’s do what they characteristically do (see also Entelechy). In thinking about this, it is important not to set the bar too high — Aristotle thinks it is true of many things.

Then for something to be potentially X, at least within itself it has to be fully “ready” to undergo whatever is required by the process of becoming an actual X, though its becoming an actual X in fact will usually depend on conditions external to it, and in particular on the activity of some other actual X — parents in the case of offspring, and something like a Platonic “model” of the thing in the case of artificial things.

Book Eta begins with a summary of book Zeta, so here it is evident from the text itself that the two are intended to develop one continuous argument. Then book Theta will begin with a very short summary of both Zeta and Eta.

“Now one ought to reckon up the results of what has been said, and, putting them all together, to set out the final point to which they come. And it has been said that the causes, sources, and elements of independent things are being looked for” (ch. 1, Sachs tr., p. 155).

Here again we have a more refined statement of the goal of the inquiry. He then cheerfully points out what is in fact the big new impasse reached in the previous book, concerning the impossibility of defining independent things:

“But in one way it follows from the discussions that what it is for something to be, and what underlies something, are kinds of thinghood, and in another way that thinghood is the general class, more than the specific one, and the universal more than the particulars; and the forms are also connected with the universal and the general class (since it is by the same argument that they seem to be independent things). And since what it is for something to be is thinghood, and the articulation of that is a definition, for that reason distinctions were made about definition and about what something is in virtue of itself; and since a definition is a statement, and a statement has parts, it was also necessary to know about the parts — which sort are parts of an independent thing and which not, and if these are the same ones that are parts of the definition. And further, in the course of this, it turned out that neither the universal nor the general class is thinghood” (ibid).

He highlights the discussion of definition, saving till the end the major issue that the independent thing itself is a particular that cannot be the direct subject of a definition. The subtle cue that there will be something problematic in what is said is his “in one way it follows”.

It is typical of both Aristotle and Hegel to appear to endorse an argument for a while, only to eventually overturn it. This can be seen as preliminarily giving each current argument the benefit of the doubt, rather than attempting to anticipate its future refutation. Both Aristotle and Hegel consider it essential for learning to go through the process of an argument’s dialectical development, and not just anticipate ultimate conclusions, as if out of nowhere.

The last statement — that universals do not directly characterize substance-essence-thinghood, which is always particular — is one of the most important conclusions of the Metaphysics. It means that for Aristotle, knowledge (episteme) also will not apply to independent things, since independent things are particulars. This implies that for independent things, we have to rely on something like the practical judgment cultivated for ethical practice, which is directed at particulars.

Those who have wanted to treat “metaphysics” as a “science of being” are going in the opposite of Aristotle’s direction. First he characterizes “being” as having to do with what things are and what can properly be said about them. Then he says the inquiry is really about the causes of independent things. Then he eventually concludes that knowledge does not apply to independent things, because they are particulars. What he is after here is a kind of practical wisdom, not scholastic “science”.

“But now let us go over what concerns the acknowledged independent things. And these are the perceptible ones. And all perceptible independent things have material. And what underlies something is its thinghood, and in one sense this is the material (and by material I mean that which, while not being actively a this, is a this potentially), but in another sense what underlies something is its articulation and form, which, being a this, is separate in articulation; and a third sort of underlying thing is what is composed of these, of which alone there is coming into being and destruction, and which is separate simply. For of the independent things in the sense that corresponds to the articulation, some are separate simply, while others are not” (pp. 155-156).

Here he explicitly generalizes the notion of an “underlying thing”. In the previous book, he started with the accepted view that this must be some kind of material. Then he adopted a Platonic lesson that the form or articulation of things better characterizes what they are. Then he diverged from the Platonists and concluded that independent things are even more important than form.

He certainly discussed all three cases, but my reading of the previous book was that only the composite of both form and matter ended up fully and properly qualifying as an independent thing. In part, he is being extra generous here to his former colleagues in the Platonic Academy, as well as to common-sense views of material. But he is also setting the stage for a new conclusion we will see shortly.

At this point, I am a little mystified by the implication that both all composites and some forms (presumably, some forms of non-perceptible things, which have been mentioned in passing but not discussed yet) will turn out to be in the same way “separate simply”. His only developed argument about the applicability of “separateness” to forms so far has been against the separateness of the Platonic forms, at least in any context involving perceptible things.

However, it is also true that the previous book does in passing seem to defer discussion of the possibility that there are non-perceptible independent things. To anticipate, it does seem true that any first cause of all, analogous to the first cause of motion he argues for in the Physics, must also be independent, for by definition, “first” means having no dependencies.

“[I]t remains to say what the thinghood of perceptible things is in the sense of being-at-work. And Democritus seems to think there are three ways things differ (for he thinks that the underlying body, the material, is one and the same, while what differ are design, which is shape, twist, which is position, and grouping, which is order). But it is obvious that there are many differences; for instance, some things are spoken of by reference to the composition of their material, as are all those made by mixing, such as milk blended with honey; others by way of a binding-cord, such as a bundle, others by means of glue, such as a book, others by means of bolts, such as a box, others by more than one of these, others by position, such as a threshold and a capstone (since these differ by being placed in a certain way), others by time, such as dinner and breakfast, others by place, such as the winds, and others by the attributes of perceptible things such as hardness and softness, density and rarity, or dryness and fluidity, some things differing by some of these, some by all of them” (ch. 2, pp. 156-157).

As this passage makes clear for non-independent perceptible things, in no case does what he calls the “being-at-work” or “actuality” of things involve what we ordinarily think of as work (which is why I still guardedly use “actuality”). In the case of non-independent perceptible things, the “being-at-work” has to do with whatever makes a unified thing out of material components.

“So one must grasp the kinds of differences (since these will be the source of being)…. So it is clear from these considerations that if thinghood is the cause of each thing’s being, it is among these differences that one must look for what is responsible for the being of each of these things. None of these examples is an independent thing, but still there is an analogous structure in each of them” (p. 157).

As we saw in the previous book, Aristotle sees definitions not in the modern formalist sense of characterizations we simply posit in isolation, but as built up from an ordered series of essential differences that progressively distinguish something from other things. To define something for Aristotle is to clarify its relation to classifying distinctions from other things.

“Now it is clear from these examples that the being-at-work and the articulation are different for different materials” (p. 158).

Kinds of materials are a sort of universals, so we do expect their distinctions to be fully articulable. From his examples above, what is responsible for the unity of material things that are not independent living things is itself something material. What kind of thing this source of material unity will be varies according to the case.

“One must not ignore the fact that it sometimes escapes notice whether a name indicates a composite independent thing or its being-at-work and form” (ch.3, p. 158).

“[W]hat it is for something to be belongs to the form and the being-at-work” (p. 159).

Form establishes a what, though it is a universal what and not a particular what. So far we have only seen examples of the somewhat non-intuitive being-at-work of material, non-independent things, which I just called the “source” in Aristotle’s sense for their material unity.

“Now it is obvious to those who inquire about it that a syllable is not made of its letters plus combination, nor a house out of bricks plus combination…. Nor indeed is humanness animalness plus two-footedness, but there has to be something which is apart from these, since these are its material, and that something is neither an element nor derived from an element, but since people leave this out, they describe its material” (ibid).

Here he continues his dispute with Plato’s other students. Combination is not a material ingredient of anything, even in the sense of purely logical or “intelligible” material.

“But whether those things that are the thinghood of destructible things have being separately is not at all clear yet, except that it is clear for certain things at least that this is not possible, as many as are not capable of being apart from the particulars, such as a house or a piece of furniture. So presumably these things themselves are not independent things, nor is any of the other things that are not composed by nature, for one may posit that nature alone is the thinghood in destructible things” (ibid).

I find the above a bit perplexing. The previous book clearly seemed to assume that there are perceptible independent things, and that at least all earthly perceptible things are destructible, though he seems to assume the stars and planets are indestructible, since he sees no evidence to the contrary. But it seemed that animals and plants were implied to be independent things, and to have their own distinctive substance-essence-thinghood. He definitely said that “the soul of an animal… is its thinghood disclosed in speech”. Isn’t an animal a destructible thing?

“[I]t does not belong to an independent thing to be capable of a definition” (p. 160).

This again was a major conclusion of the previous book.

“[E]ach independent thing is a complete being-at-work-staying-itself [entelechy], and a particular nature” (pp. 160-161).

Here he explicitly associates the independence of independent things with the teleological notion of entelechy.

“[W]henever one is inquiring after what is responsible for something, one must state all the causes the thing admits of” (ch. 4, p. 162).

I silently passed over his discussion of his predecessors in book I, but his main argument there was that none of them took all the causes into account. In particular, even Plato resorted to treating the Good as a formal or efficient cause. Aristotle regards interpretation by that-for-the-sake-of-which as his own major innovation.

“And what is the cause in the sense of form? What it keeps on being in order to be. And what is the cause for the sake of which it is? Its end, though presumably both of the last two causes are the same. And one must state the nearest causes: What is the material? Not fire or earth but the material peculiar to the thing” (ibid).

I just pointed out that Aristotle regards the distinction of that-for-the-sake-of-which from a formal cause as of major importance. His identification of the two here therefore must be intended as less than fully general. Form has senses that do not primarily emphasize any normative component, such as the form of triangularity. But as we have seen, Aristotle also speaks of the souls of animals as forms.

One might say that the soul is the entelechy (literally, “in [it] end having”) of a living body. Entelechies may come in layers. More precisely, the soul would be a name for the “first entelechy” of the body, or its achieved and continuing organic functioning. For Aristotle, this is intrinsically a normative concept. To speak of the entelechy of a body implies that it is not only functioning, but functioning well in relation to its intrinsic ends. Higher ongoing functions — just insofar as they are well realized — involve higher entelechies.

He makes an important point about material. What is usually most relevant is “not fire or earth but the material peculiar to the thing“, such as an organic body or a particular mineral. The more specific a material is, the more form-like it is. We will see shortly that Aristotle takes this to the point of identity between the most specific material and the form of a material thing.

“[T]here will not be material in those things that are or are not without changing” (ch. 5, p. 163).

In the Physics, the material cause was originally developed as part of the explanation of change.

“[A]ll things that have more than one part, and of which the sum is not like a heap, but a whole that is something over and above the parts, have something responsible for them…. But a definition is one statement not by being bundled together like the Iliad, but by being of one thing” (ch. 6, pp. 163-164).

A form is normally treated as an integral whole. A definition implicitly refers to an integral whole.

“Now it is clear that, for those who approach defining and explaining in this way that they are accustomed to [crudely adding specifications together, as in “animal plus two-footed”], it is not possible to give an account of it and resolve the impasse. But if, as we say, there is one thing that is material and one that is form, and the former has being as potency and the latter as being-at-work, the thing sought after would no longer seem to be an impasse” (p. 164).

I think what he is saying here is that the definition applies to the form only, not to the composite. That is probably why he earlier mentioned the ambiguity between a name’s referring to the form, and its referring to the composite. This does resolve some of the earlier puzzles about the applicability of definitions (a definition applies to a form). It is important to recall, though, that he just said again that there is still no direct applicability of definitions — which are expressed in universal terms — to independent things, which are particulars.

“But as many things as do not have either intelligible or perceptible material, are each of them some very thing that is one, just as also some very thing that is, a this, an of-this-sort, a so-much (and this is why neither being nor one is included in definitions), and what it is for something to be is immediately a particular one and a particular being. Hence there is no other thing responsible for the being-one of any of these, nor of the being-a-being of each, since each is immediately a certain being and a certain one, not in the sense of being in a class of beings or ones, nor of being among things that have being apart from particulars” (pp. 164-165).

Now he begins to speak in general about things that have no material. What this will apply to is as yet unspecified.

“But as was said, the highest level of material and the form are one and the same thing; the former potentially, the latter actively, so that looking for what is responsible for their being one is like looking for a cause of one thing; for each of them is a certain one, and what is in potency and what is in activity are in a certain way one thing. Therefore there is nothing else responsible, unless in the case of something that moves it from potency to being-at-work, but everything that does not have material is simply something that is itself one” (p. 165).

Back again to things that do have material, here he makes a point I alluded to earlier. One aspect of Aristotle’s hylomorphism is this identity of the most specific material with the form (for things that have material). Each independent thing has its own entelechy that is the primary cause of its being what it is.

Finally, he reiterates that things without material do not require anything external to give them unity.

Next in this series: The Innovation of Potentiality-Actuality

Independent Things

Having just posted notes on Aristotle’s Metaphysics book Zeta (VII), I wanted to pause for some personal reflections. The hands-on engagement of putting together a textual commentary like that with extensive quotes always gives me a quality of insight into the material that I don’t get from just reading or re-reading a text.

One of the ways Aristotle stands out as a philosopher — to speak a bit figuratively — is his philosophically generous attitude toward not only living, “independent” beings, but ordinary “things” of all sorts. This carries over into his ethics.

Engagement in the world, approached the right way, need be no distraction from our essential concerns. Rather, for Aristotle it is a fulfillment of the “purpose” of the kind of beings that we are. He encourages us to cultivate a feeling of being fundamentally at home in life in the world, a feeling strong enough to remain ultimately unshaken by our emotional responses to events and circumstances. By contrast, Plotinus, for instance, though appreciative of beauty in all its forms, ultimately directs our attention both spiritually and philosophically away from the world and toward the One. Modern philosophers tend to view the world as inert matter for us to manipulate, not something with which we would feel kinship and a sense of belonging.

Hegel criticizes Kant for being “too tender” toward objects, but I feel that this and some other remarks are a bit lacking in interpretive charity, even though Hegel is deeply Kantian in many ways. In particular, I have a lot more sympathy for Kant’s notion of “things in themselves” than Hegel did.

Kantian things in themselves don’t exactly align with either Aristotle’s notion of independent things or with the what-it-is of those things, but they have relations to both, which may suggest an alternate way out of the Kantian “impasse” that troubles Hegel. What Hegel regards as an unresolved impasse in Kant in this area is the irreducible gap Kant sets up between knowledge and things in themselves. But Aristotle also says we do not have knowledge of independent things or their what-it-is.

We may have knowledge of their articulations, but articulations are only expressible in terms of universals (words with posited meanings that are applicable to multiple things), while independent things and their what-it-is are particulars. Therefore, for Aristotle too there will be a sort of Kantian gap between knowledge and independent things. I have praised this as a kind of “epistemic modesty”.

We have only experience and acquaintance with independent things, not knowledge. We may also dialectically inquire, interpret, and make judgments about them, thus reaching relatively well-founded belief, but we cannot know them, because they are particulars independent of us, while all knowledge (episteme) is discursive.

When it comes to the what-it-is of things as distinct from the independent things themselves, we have no experience or acquaintance either, but only the “long detour” of dialectic, interpretation, and judgment. This, it seems to me, is what Hegel’s logic of essence addresses. In the logic of essence, Hegel speaks to Aristotelian considerations, and I would now say more specifically that Hegel’s logic of essence explores more or less the same dialectical level as Metaphysics book Zeta.

Kant’s things in themselves seem utterly remote and mysterious to nearly everyone — I dare say much more so than the Aristotelian what-it-is. A historical reason for this is not far to seek. Kant’s intellectual formation was in the milieu of the Wolffian school, within which the small fraction of the works of Leibniz published in his lifetime played a leading role.

Leibniz developed the highly original notion of the “complete essence” of a thing, corresponding to the way God would know it — as including every true statement about a thing, including all the empirical facts applicable to its past, present, and future. Leibniz’ God is concerned with the totality of logical truth about a thing.

From the point of view of Aristotle or Hegel, this turn to the totality of logical and factual truth abolishes the distinction between essence and what is not essence. It thus effectively abolishes the more specific concept of essence and a “deeper truth”. An emphasis on complete essence also foregrounds something we could not possibly experience over the sensible independent things with articulable properties that we do experience.

For Leibniz, naturally enough, only God knows complete essences. Humans could not possibly know them. What I want to suggest here is that the reason the Kantian thing-in-itself is inherently unknowable by us is that it basically is a Leibnizian complete essence.

Because a complete essence is no longer a proper what-it-is that can potentially be distinguished from the many incidental facts about a thing, it is far less tractable to Aristotelian or Hegelian dialectic than a what-it-is that at least potentially can be so distinguished. A complete essence poses head-on what Hegel calls the “problem of indifference”, which plagued early modern philosophy. Among all the true statements about a thing, there is no clear way to pick out which would be more relevant to what Aristotle would call the articulation of what-it-is.

While Aristotelian independent things and their what-it-is are unknowable because they are particulars, they remain relatively tractable to dialectical inquiry, and are therefore not radically unknowable to humans in the way a complete essence or thing in itself would be. Certainly Aristotle seems to say more about them that is meaningful than Kant is able to say about things in themselves.

Hegel wants to abolish things “in themselves” — not at all because he wants to abolish Aristotelian independent things or their what-it-is, but because he objects both to the Hermetic isolation of complete essences from one another and to the problem of indifference that complete essences pose. He in effect goes back to Aristotle on this.

It is important to emphasize that the independence of an Aristotelian independent thing means it cannot be just an object of consciousness. It is supposed to be a reality in its own right. While this is not the only point of view we may adopt, the kind of deeper truth that Aristotle, Kant, and Hegel all seek is not to be found by fleeing the world and leaving such realities behind.

If we accept an Aristotelian revision of the Kantian gap between knowledge and what is, the gap no longer brings inquiry to a halt. Then the broadly Kantian view that there is a gap and the broadly Hegelian view that we can go a long way toward overcoming it can both be sustained. (See also Practical Wisdom.)

Next in this series: Toward Potentiality and Actuality

The What-It-Is of Things

We’ve now reached the beginning of a much more sustained argument at the heart of Aristotle’s Metaphysics. The sequence of books Zeta, Eta, and Theta (VII-IX in Sachs’ translation) has a much tighter cohesion than the Metaphysics as a whole. These are commonly referred to by scholars as the “central” books. Here I will cover book Zeta (VII).

We have also reached the transition from initial questions about being (einai) to the development of answers that will be expressed entirely in terms of ousia (substance, essence, thinghood, the what-it-is of things). Neither Aristotle’s questions nor his answers have to do with being in the sense of existence.

“[Being] signifies what something is and a this, but also of what sort or how much something is, or any of the other things attributed in that way. But… the way that is first among these is what something is, which indicates its thinghood” (ch. 1, Sachs tr., p. 117).

“[S]omeone might be at an impasse whether each thing such as walking or healing or sitting is or is not a being, and similarly with anything else whatever of such a kind; for none of them is either of such a nature as to be by itself nor capable of being separated from an independent thing” (ibid).

I would call these “things”, but not “beings” or “independent things”.

Rather than attempting to speak about existence in general, he is concerned about the relative “independence” of particular things that are to be understood first in terms of what they are. This independence signifies both an internal cohesiveness associated with relative persistence in time, and a relative independence from us. Independent things are not just random phenomena, and they do not arbitrarily bend to our will. On the other hand, what they are can only be developed discursively, which implicitly involves us and our interpretation and judgment.

“[T]hinghood is primary in every sense, in articulation, in knowledge, and in time. For none of the other ways of attributing being is separate, but only this one; and in articulation this one is primary (for in the articulation of anything, that of its thinghood must be included); and we believe that we know each thing most of all when we know what it is…. And in fact, the thing that has been sought both anciently and now, and always, and is always a source of impasses, ‘what is being?’, is just this: what is thinghood?” (pp. 117-118).

Here he pretty much literally says that asking the famous “question of being” is asking the wrong question. From here on out, the inquiry will revolve around the status of definite “things” rather than of being in general — that is to say, it will focus on what things are, and on their “independence” as characterized above. We should still think of definite things in a higher-order way and not just one by one, but we will never leave definiteness behind.

Now the dialectical work begins in earnest. The first problem he addresses is that the preliminary separation of ousia from the more derivative senses of being was effected by treating the ousia as a kind of substrate in which all attributes inhere. This leads to the thought that it must after all be matter, but that cannot be right, because it is the form that allows something to be picked out as separate.

“But since at the start we distinguished in how many ways we define thinghood, and of these a certain one seemed to be what something keeps on being in order to be, one ought to examine that. And first let us say some things about it from the standpoint of logic, because what it is for each thing to be is what is said of it in its own right” (chapter 4, p. 120).

Again, it is vital to emphasize how questions of what things are are to be answered in terms of what is properly said about them. We will be concerned with proprieties of interpretation and judgment.

His concern with definiteness leads to a consideration of definition, and what it is to be a definable thing.

“Therefore there is a what-it-is-for-it-to-be of all those things of which the articulation is a definition. And it is not the case that there is a definition whenever a name means the same thing as a statement…, but only if the statement articulates some primary thing, and things of this kind are all those that are not articulated by attributing one thing to another” (p. 122).

Again, not being attributed to something else has to do with “independence”.

“This is clear: that a definition and a what-it-is-for-something-to-be belong primarily and simply to independent things. It is not that they do not belong to the other things in a way that resembles this, but only that they do not belong to them primarily…. And for this reason there will be a statement and a definition of a pale person, but in a different way than of pale, or of an independent thing” (p. 123).

“Therefore in one sense there will not be a definition of anything, nor a what-it-is-for-something-to-be present in anything, except of and in independent things, but in another sense there will be” (chapter 5, p. 124).

Independent things come first for Aristotle, but this emphasis is not exclusive. Derivative things — and corresponding things said in categories other than that of substance or thinghood — will also be taken into account.

“But one must investigate whether each thing is the same as, or different from, what it keeps on being in order to be” (chapter 6, p. 125).

“For there is knowledge of anything only when we recognize what it is for it to be…. Therefore the good and being-good must be one thing, and so too the beautiful and being-beautiful…. So by these arguments, each thing itself and what it is for it to be are one and the same, in a way that is not incidental, and this follows also because knowing each of them is just this: to know what it is for it to be…. In what way, then, what it is for something to be is the same as each thing, and in what way it is not, have been said” (pp. 126-127).

Once again, he directs our attention to definite form (or meaningful “content”, in the way many contemporary philosophers speak). Whether we call it form or content, the idea is to focus on meaning, and on wherever meaning is concentrated.

Next he begins to raise issues related to becoming.

“Of the things that come into being, some come about by nature, some by art, and some as a result of chance, but everything that comes into being becomes something, from something, and by the action of something… [J]ust as is always said, coming into being would be impossible if there were nothing present beforehand” (chapter 7, p. 128).

This is Aristotle’s more specific version of what Leibniz calls the principle of sufficient reason. Next he explains that becoming applies only to composite wholes that include both matter and form. In the way that Aristotle thinks about these matters, it is not correct to say that the form or what-it-is-to-be a thing comes into being.

“[J]ust as one does not make the underlying thing, the bronze, so too one does not make the sphere, except in the incidental sense that the bronze sphere is a sphere, and one makes that…. Therefore it is clear that the form, or whatever one ought to call the shapeliness that is worked into the perceptible thing, does not come into being, and that coming-into-being does not even pertain to it, or to what it is for something to be (for this is what comes to be in something else…)” (chapter 8, p. 131).

“So it is clear from what has been said that what is spoken of as form or thinghood does not come into being, but the composite whole that is named in consequence of this does come into being; and it is clear that there is material present in everything that comes into being, so that it is not only this but also that…. So it is rather the case that one makes or begets a certain kind of thing out of some this, and when it has been generated it is this-thing-of-this-kind” (p. 132).

Aristotle maintains a delicate balance in speaking about form. He strongly endorses the broad Platonic thesis of the importance of form, while refusing to take literally the more specific Platonic suggestions about the independence of form, which Plato’s other students elevated to a dogma.

“Therefore it is clear that the causal responsibility attributed to the forms, in the sense that some people are in the habit of speaking of the forms, as if they are certain things apart from the particulars, is of no use, at least in relation to coming-into-being and independent things” (ibid).

According to Aristotle, by virtue of their very “independence”, the kind of forms advocated by the Platonists would be cut off from the world, and could not possibly serve as causes of anything.

“[I]n a certain way everything comes into being from something that shares its name, just as the things do that are by nature (for instance a house comes from a house, insofar as it comes about by the action of an intelligence, since its form is the art by which it is built)” (chapter 9, p. 133).

In the natural case, living beings beget other similar living beings.

“And it is not only about thinghood that the argument shows that the form does not come into being, but in the same way, the argument concerns in common all the primary things, such as how much something is, and of what sort, and the other ways of attributing being” (p. 134).

In general, Aristotle wants to insist that none of the determinations according to the Categories, considered just in themselves, “comes into being”. It is always the composite things that have such determinations that come to have them.

“But what is to be understood from these considerations as peculiar to an independent thing is that a different independent thing that is fully at work, and that makes it, must be present beforehand” (ibid).

Next he asks whether the articulation of the parts must be present in the articulation of the whole.

The conclusion is that “[A]ll those things that are parts in the sense of material, and into which something divides up as into material, are derivative from the whole; but either all or some of those that are parts in the sense of belonging to the articulation and to the thinghood that is disclosed in the articulation, are more primary than it” (chapter 10, p. 137).

“And since the soul of an animal (for this is the thinghood of an ensouled thing) is its thinghood as disclosed in speech, and its form, and what it is for a certain sort of body to be (at any rate, each part of it, if it is defined well, will not be defined without its activity, which will not belong to it without perception), either all or some parts of the soul are more primary than the whole animal as a composite, and similarly with each particular kind, but the body and its parts are derivative from the thinghood in this sense, and it is not the thinghood but the composite whole that divides up into these as material” (ibid).

The soul of an animal is its form. This is a profound but difficult teaching. As for Plato, for Aristotle too forms as such are not supposed to be subject to becoming. This would seem to make them static. But at the very least, souls belong to hylomorphic composites that are subject to becoming. And it seems that souls themselves are involved in actions and passions (except from the standpoint of Plotinus, which is not Aristotle’s).

Something is clearly being said in more than one way here. The apparently static character of form will eventually be superseded or supplemented in the account of potentiality and actuality that is to come in book IX.

“But a human being or a horse in general, and the things that are in this way after the manner of particulars, but universally, are not thinghood but a certain kind of composite of such-and-such an articulation with such-and-such material, understood universally, while the particular, composed of ultimate material, is already Socrates, and similarly in other cases” (ibid).

Here he carefully distinguishes between an abstract universal of a kind of composite, and the what-it is of composites of that kind — e.g., between “a horse” and the what-it-is of a horse. Putting this together with what was said earlier, we can conclude that the what-it-is of a horse will be equivalent to “being a horse”, but distinct from “the horse itself” as an independent thing and a composite.

“But the parts of a thing’s articulation belong only to the form, and the articulation is of the universal; for being a circle and a circle, or being a soul and the soul, are the same thing. But of the composite already there is no definition” (ibid).

All composites are particulars, and for Aristotle no particular as such is definable.

“But the material is not known in its own right. And one sort of material is perceptible, the other intelligible, the perceptible, for example, bronze or wood, or any movable material, while the intelligible is that which is present in perceptible things, taken not as perceptible, as for example mathematical things are” (p. 138).

What is known in its own right seems to be only form, the what-it-is. The qualification “in its own right” is important. It leaves space open for other things to still be known in an indirect way.

“One might reasonably be confused about what sort of things are parts of the form, and what sort are parts not of that but of the all-inclusive composite. And yet so long as this is not clear, it is not possible to define any particular thing, since the definition is of the universal and the form; so if it is not clear what sort of parts are present in the manner of material and what sort not, neither will the articulation of the thing be evident…. For example, the form of a human being always appears in flesh and bones and parts of that sort: are they then also parts of the form and of its articulation? Or are they not, but just material…?” (chapter 11, pp. 138-139).

He points out that it will not always be easy to distinguish what belongs to a form itself, and what belongs to a composite that has the form.

“[T]hat is why tracing everything back in this way, and taking away the material, is overly fastidious, for presumably some things are such-and-such in such-and-such, or such-and-such in such-and-such a condition…. For it is not a hand of any sort that is part of a human being, but one capable of accomplishing its work” (p. 140).

The example of the hand introduces a distinction by that-for-the-sake-of-which, that could be applied even if we said the form was the same. Here we have a first intimation that the what-it-is of something may after all not be adequately characterized by form alone.

“And it is clear too that the soul is the primary independent thing, while the body is material, and the human being or animal in general is what is made of both, understood universally; and if it is also true that the soul of Socrates is Socrates, then names such as Socrates or Corsicus have two meanings (for some people mean by them a soul, but others the composite), but if Socrates is simply this soul plus this body, then the particular is just like the universal” (ibid).

“What, then, the what-it-keeps-on-being-in-order-to-be-at-all of something is, have been stated in a general way that applies to everything…. For the thinghood of a composite is the form that is in it, and the whole that is made out of that and the material is called an independent thing” (p. 141).

Here he dips back to a more categorical identification of the what-it-is with form.

Next he raises the question, what makes a definition one? This seems to be a digression or supplementary remark, though possibly it anticipates further criticism of Platonism that lies ahead.

The discussion of definition is narrowed to “definitions that result from divisions” (chapter 12, p. 143), in which kinds of things are defined by their distinctions from other kinds within some common scope. This is sometimes known as Platonic division, and it is illustrated in Plato’s Sophist.

Definition will be explained in terms of difference, but Aristotle’s notion that gets translated as “difference” has an important nuance we might not anticipate. In book Delta (V) he says “All those things are called different that are other but the same in some respect” (p. 89). Naively, we might expect “different” to mean the same as “other”, but in the translation here Aristotle uses “other” for the unrestricted case that includes things with no relation at all to one another, and “different” only for things that are comparable in some way, and therefore must also have some underlying similarity. Thus he avoids what Hegel calls the “problem of indifference”.

“But surely it is necessary also to divide the difference into its differences; for instance, provided-with-feet is a difference belonging to animal, and next one must recognize the difference within animal-provided-with feet insofar as it is provided with feet, so that one ought not to say that of what is provided with feet, one sort is feathered and another featherless, if one is to state things properly (for one would do this rather out of ineptness), but instead that one sort is cloven-footed and the other uncloven, since these are differences that belong to a foot, cloven-footedness being a certain kind of footedness. And one wants to go on continually in this way until one gets to things that have no differences; and then there will be just as many kinds of foot as there are specific differences, and the kinds of animals-provided-with-feet will be equal in number to the differences. So if that is the way these things are, it is clear that the difference that brings the statement to completion will be the thinghood of the thing and its definition” (ibid).

“So if a difference comes into being out of a difference, the one that brings this to completion will be the form and the thinghood of the thing; but if a difference is brought in incidentally, such as if one were to divide what is provided with feet into one sort that is white and another sort that is black, there would be as many differences as cuts. Therefore it is clear that a definition is an articulation consisting of differences, and arising out of the last of these when it is right…. But there is no ordering in the thinghood of the thing; for how is one to think of one thing as following and another preceding?” (p. 144).

Here he omits the critique of the binary character of Platonic division that he makes in Parts of Animals book I. As he expounds here, in a hierarchical ordering of differences, it is the most specific difference at the bottom of such a hierarchy that picks out the what-it-is of a thing. But he also wants to say that the what-it-is itself is a simple unity without internal ordering. Next he moves to explicit criticism of some Platonic positions.

“[I]t seems to some people that the universal is responsible for a thing most of all, and that the universal is a governing source, and for that reason let us go over this. For it seems to be impossible for any of the things meant universally to be thinghood. For in the first place, the thinghood of each thing is what each is on its own, which does not belong to it by virtue of anything else, while the universal… is of such a nature as to belong to more than one thing” (chapter 13, p. 144).

“Again, thinghood is what is not attributed to any underlying thing, but the universal is always attributed to some underlying thing…. And what’s more, it is impossible and absurd that what is a this and an independent thing, if it is composed of anything, should have as a component… an of-such-a-sort…. So for those who pay attention, it is clear from these things that nothing that belongs to anything universally is thinghood, and that none of the things attributed as common properties signifies a this, but only an of-this-sort” (p. 145).

Platonic forms are generally considered to have universal import, although I think Plotinus argues that there are also forms of individuals.

“But there is an impasse. For if no independent thing can be made of universals, … and no independent thing admits of being composed of active independent things, every independent thing would not be composed of parts, so that there could not be an articulation in speech of any independent thing…. Therefore, there will be no definition of anything; or in a certain way there will be and in a certain way there will not. And what is said will be more clear from things said later” (p. 146).

More generally, independent things seem to be particulars, and Aristotle says that properly speaking, there are no definitions of particulars. That of course does not prevent dialectical inquiry and clarification about them.

“But it is also clear from these same things what follows for those who say that the forms are independent things and separate, and at the same time make the form be a compound of a general class and its specific differences…. [I]f it is impossible for things to be this way, it is clear that there are not forms of perceptible things in the way that some people say there are” (chapter 14, pp. 146-147).

Another paradox about Platonic forms — seemingly acknowledged by Plato himself in the first part of the Parmenides — is that they are supposed to have universal import, but themselves to be a kind of immaterial particulars.

“[T]here is destruction of all those things that are called independent things…, but of the articulation there is no destruction…. And this is why there is no definition of nor demonstration about particular perceptible independent things…. For this reason it is necessary, when one is making distinctions aiming at a definition of any of the particulars, not to be unaware that it is always subject to be annulled, since the thing cannot be defined” (chapter 15, pp. 147-148).

Independent things are destroyed, but their what-it-is is not. Here he mentions explicitly that particulars cannot be defined, though this does not stop us from inquiring and making judgments about them.

“But neither can any form be defined, since they say that the form is a particular and is separate; but it is necessary that an articulation be composed of words, and that the definer will not make up a word (since it will be unknown), but the words must be names given in common to everything, so that they must also belong to something else” (p. 148).

Strictly speaking, all definitions without exception implicitly depend on other definitions. If the words used in the definition of a thing did not themselves have definitions, we could not understand them. The larger our web of connected, consistent definitions, the greater the confidence we can have in it. I think another relevant point is that we don’t have knowledge of the correctness of any isolated definition, though we could have knowledge of the compatibilities and incompatibilities of one definition with others. Definitions in general are a matter of dialectic and judgment.

He mentions problems involved with the definition of unique things. The errors here are an instance of more general errors in specifying too much or too little for sound identification of unique instances of kinds.

“For people miss the mark not only by adding things of a sort such that, if they were taken away, the sun would still be the sun, such as ‘going around the earth’, or ‘hidden at night’ (for if it were to stand still or shine at night it would no longer be the sun, but it would be absurd if it were not, since ‘the sun’ signifies a certain independent thing), but also by including things that admit of applying to something else, such that, if another thing of that kind came into being, it would clearly be a sun; therefore the articulation is common, but the sun was understood to be among the particular things” (p. 149).

“And it is clear that most of what seem to be independent things are potencies, not only the parts of animals…, but also earth and fire and air, since none of them is one, but just like a heap, until some one thing is ripened or born out of them (chapter 16, p. 149, emphasis added).

The seeming is all-important here. He actually means to deny that these are independent things. Only when “some one thing is ripened or born” might there then be an independent thing.

“And since one is meant in just the same way as being, and the thinghood that belongs to what is one is also one, and those things of which the thinghood is one are one in number, it is clear that neither oneness nor being admits of being the thinghood of things…. [B]eing and oneness are thinghood more so than are sourcehood and elementality and causality, but it is not at all even these…; for thinghood belongs to nothing other than itself and that which has it, of which it is the thinghood” (p. 150).

Aristotle here clearly emphasizes a self-containedness of the what-it-is of a thing. This seems to be motivated by a concern correlative to that for independence in things. Leibniz would later take this to an extreme with his monadology. Hegel goes in the other direction, questioning the self-containedness of a what-it-is. I think Aristotle is implicitly maintaining a Kant-like duality between the self-containedness of an undefinable indemonstrable what-it-is in itself, and his view of the difference-based character of definitions and knowledge, which I think also ought to extend to what I have called relatively well-founded belief. We could perhaps then resolve the duality between self-containedness and knowledge, somewhat in the way that Hegel resolves the Kantian ones, while at the same time preserving an Aristotelian respect for the independence in things.

“And yet, even if we had not seen the stars, nevertheless I suppose there would have been everlasting independent things besides the ones we know, so that now too, even if we cannot say what they are, it is still presumably necessary that there be some. That, then, none of the things attributed universally is an independent thing, and that no independent thing is composed of independent things, is clear” (pp. 150-151).

Now he really sounds like Kant: “even if we cannot say what they are, it is still presumably necessary that there be some.”

“But what one ought to say thinghood is, and of what sort it is, let us speak again, as though making another start; for perhaps from these discussions there will also be clarity about that kind of thinghood that is separate from perceptible independent things. Now since thinghood is a certain kind of source and cause, one must go after it from that starting point. And the why of things is always sought after in this way: why one thing belongs to something else” (chapter 17, p. 151).

Now he explicitly suggests that there is something separate from perceptible independent things.

“Now why something is itself is not a quest after anything…. But one could search for the reason why a human being is a certain sort of animal…. For example, ‘why does it thunder?’ is, ‘why does noise come about in the clouds?’, for thus it is one thing’s belonging to another that is inquired after…. It is clear, then, that one is looking for what is responsible, which in some cases, as presumably with a house or a bed, is that for the sake of which it is, but in some cases it is that which first set the thing in motion, since this too is responsible for it. But while the latter is looked for in cases of coming into being and destruction, the former applies even to the being of something” (pp. 151-152).

Identity by itself cannot be a reason for anything. Meanwhile, he mentions that that-for-the-sake-of-which also applies to things outside of becoming.

“But the thing in question escapes notice most of all in those cases in which one thing is not said to belong to another, as when the thing one is seeking is what a human being is, because one states it simply and does not distinguish that these things are this thing. But it is necessary to inquire by dividing things at the joints; and if one does not do this, it becomes a cross between inquiring after nothing and inquiring after something…. Accordingly, it is clear that in the case of simple things, there is no process of inquiry or teaching, but a different way of questing after such things” (p. 152).

Knowledge for Aristotle is concerned with things “belonging” to other things. It is expressed by things said of other things. Of particulars or singular things taken in isolation, may we have acquaintance or experience. We may have dialectical inquiry, and perhaps good judgment, but not knowledge.

Next in this series: Independent Things

Causes and Sources

Aristotle distinguishes arché (principle or source) from aitia (cause or reason why). He frequently uses the metonymic shorthand of saying “being” for the sources and causes of being that are the proper concern of first philosophy.

Both “source” and “cause” get chapters in the compendium of things meant in many ways in Metaphysics book Delta (V). Sources and causes are also discussed in the short book Epsilon (VI). I have not written about “sources” before. The main effect of book Epsilon though, as we will see, is to significantly narrow the scope of first philosophy.

I very frequently point out issues related to things said in many ways, usually providing a link to my old short post Univocity. This is an extremely important topic. It goes beyond the use of language to the real diversity of the things spoken of. However, book Delta has 30 chapters, each devoted to a different specific term or terms, so I won’t try to summarize them all. I already covered the chapter on being and “is”. Here I’ll just cherry-pick basic information about sources and a remark on “that for the sake of which” from book Delta, then go on to a brief discussion of book Epsilon.

All causes are sources (book Delta (V), ch. 1, Sachs tr., p. 77), but not all sources are causes.

“And what is common to all sources is to be the first thing from which something is or comes to be or is known; of these, some are present within while others are outside. For this reason nature is a source, as are elements, thinking, choice, thinghood, and that for the sake of which; for the good and the beautiful are sources of both the knowledge and the motion of many things” (ibid).

Aristotle’s concept of nature applies especially to living organisms, whose “nature” is an internal source of motion.

Elements are primitive constituents of bodies.

Thinking and choice are additional sources available to rational animals.

The what-it-is of a thing is a source. With sincerest respect for the outstanding translator, I disagree with the choice of “thinghood” for the ousia that Aristotle identifies with the what-it-is of a thing. (But then, I still guardedly use the English terms substance, potentiality, and actuality that I learned originally, to all of which Sachs raises quite legitimate objections. In my opinion, for instance, any of the translations formally proposed for ousia (substance, essence, thinghood, etc.) needs to be used in a guarded way, so I have stuck with the one I learned. The only way I see to get around this is to instead rely on Aristotle’s identification of ousia with the what-it-is, which translates very straightforwardly, and I am now starting to do this some of the time.)

Interestingly, in the above enumeration of sources only one of the four causes is mentioned explicitly: that for the sake of which. Not only that, but in the text the good and the beautiful seems to refer back to what was just mentioned as that for the sake of which.

Mentioning that-for-the-sake-of-which again in the chapter on cause, he explicitly identifies the end with the good.

“But the semen and the doctor and the legislator, and generally the maker, are all causes as that from which the source of change or rest is, but other things as the end or the good of the remaining ones. For that-for-the-sake-of which means to be the best thing and the end of the other things, and let it make no difference to say the good itself or the apparent good” (ch. 2, p. 79).

The whole reason the end or that-for-the-sake-of-which predominates over all the other causes in Aristotle is its association with the good.

Moving on to book Epsilon, “[E]very kind of knowledge that is discursive, or takes part in any way in thinking things through, is concerned with causes and sources, of either a precise or a simpler kind” (ch. 1, p. 109).

“[I]t is clear by… a review of examples that there is no demonstration of the thinghood or the what-it-is of things, but some other means of pointing to it” (ibid).

The what-it-is of things is an object of dialectical inquiry rather than demonstration.

“[T]he study of nature concerns things that are indeed separate, but are not motionless, while some mathematics concerns things that are indeed motionless, but presumably not separate, but in truth in material; but the first contemplative study concerns things that are both separate and motionless.”

What Aristotle calls “independent” things he also calls “separate”. This just means that they count as bona fide things having some reality of their own, and are not just any phenomena. First philosophy for Aristotle is concerned especially — though certainly not exclusively, if the text of the Metaphysics serves as a witness — with things that are both separate and unmoved.

“And while it is necessary that all causes be everlasting, these are so most of all, since they are responsible for what appears to us of the divine” (p. 110).

This is why the subject of the Metaphysics is sometimes seen as a kind of theology. Aristotle’s language here carefully delineates his concern in this regard as what appears to us of the divine. The theology here will be purely “natural”. It will not address or assume any specific tradition or revelation, but only what is openly accessible to the inquiry and experience of all rational animals.

It seems quite significant that he says “all causes” are everlasting. A billiard ball clunking into another billiard ball is just an event, not a cause at all for Aristotle. Circumstances affecting the outcomes of events will not be causes either. Form, matter, ends, and sources of motion themselves, he is saying, are not subject to coming-to-be and perishing as composite things are. But circumstances are subject to coming-to-be and perishing, which is why they don’t qualify as causes.

Modern science, on the other hand, depends on a notion of cause that has mostly to do with circumstances being the case or not. Neither notion of cause invalidates the other, but we have to be very careful to avoid confusion when we move back and forth from one to the other.

“Now if there were no other independent thing besides the composite natural ones, the study of nature would be the primary kind of knowledge; but if there is some motionless independent thing, the knowledge of this precedes it and is first philosophy, and it is universal in just that way, because it is first” (p. 111).

This is very important. Normally, universality is associated with classes and abstractions. Here he implies there is an alternate path to speaking about “all things”, by way of the dependency of all concrete things on causes, and thereby on the concrete first cause that he will argue for.

Next he recalls the incidental senses in which we say things about things.

“For some things are results of capacities to produce other things, while others result from no definite art or capacity; for of what is or happens incidentally, the cause too is incidental. Therefore, since not all things are or happen necessarily and always, but most things are and happen for the most part, it is necessary that there be incidental being…. [I]t is clear that there is no knowledge of what is incidental, since all knowledge is of what is so always or for the most part — for how else will anyone learn or teach? For it is necessary to make something definite by means of what it is always or for the most part” (p. 113).

In a somewhat Kant-like way, he is saying we have to recognize that there is incidental being, but we cannot have knowledge of it in the proper sense because incidental being is inherently particular. Following the shorthand established before, incidental “being” concerns things insofar as things are said of them incidentally. It refers specifically to the incidental way in which we say that the one “is” the other. Something just happens to be some way.

“That there are sources and causes which come and go without being in a process of coming-to-be or passing-away is evident. For if this were not so, all things would be by necessity, if there must be some nonincidental cause of what is coming into being or passing away. For will this particular thing be the case or not? It will be if this other thing happened, but if not, not….. Therefore it is clear that the result goes back as far as some starting point, but this no longer goes back to anything else. This, then, will be the origin of what happens in whichever way it chances to, and nothing else will be responsible for its happening. But to what sort of source and what sort of cause such tracing back has gone, whether to material or to that for the sake of which or to a mover, one needs to examine with the greatest care” (p. 114).

Since knowledge is being sought here, incidental causes will not be considered further. Nonetheless, he emphasizes that as causes in his sense, incidental causes too would be outside the sphere of becoming. This means that no event or circumstance is an incidental cause; rather, it may have an incidental cause. The incidental cause may be material or final or a mover, but not a form, because there is no form of what is incidental.

This eliminates one of the ways in which something is said of something — the incidental “is” that was laid out before — from the scope of the inquiry.

This is related to the point that keeps coming up in recent posts, that Aristotelian actuality is not what-is-the-case. The inquiry will end up being concerned precisely with this actuality that is not what-is-the-case. (Hegel in the logic of essence makes a similar move to put off to the side considerations of what is the case, but then at the very end of the logic of the concept, he brings back what is the case, as that within which we live and act. Addressing the gap between what is the case and the actual becomes our task.)

Then more briefly, Aristotle eliminates what was previously called being in the sense of true and false. It is unclear whether he sees any causes specific to this, analogous to those he explicitly mentions for the incidental case. In any case, the true and false — he says here as he also does in On Interpretation — have to do with what he calls combining and separating.

“[B]eing as the true and nonbeing as the false concern combining and separating” (p. 115).

Affirming something of something is “combining” the two somethings, and denying something of something is “separating” them. His choice of grammatical forms in naming these implies that he thinks of combining and separating as activities.

“[T]he false and the true are not in things, …but in thinking” (ibid).

Aristotle says that such combination and separation pertain only to thought, not to independent things. (Kant would say, combination and separation are judgments, not data that could be given to us. The later Kant would add that these judgments have a reflective dimension. Hegel would raise additional questions about the apparent sharpness of Aristotle’s distinction between thought and independent things, just as he does with similar distinctions in Kant. Similarly, he would question the sharpness of the distinction between sayings about things in their own right and incidental sayings.)

It is very common to hear a correspondence theory of truth attributed to Aristotle — i.e., a statement is true because it accurately characterizes the applicable state of affairs. That is just not what he says about truth and falsity, as we just saw. It is not a question of good representation of — or accurate pointing to — something external, but rather of good combining and separating within what is said.

There are many things we might wish Aristotle said more about, like the tantalizing suggestion here about combining and separating. But it is has been estimated that as much as two-thirds of his writings were never circulated in manuscript in the ancient world, and therefore have not come down to us (see Fortunes of Aristotle.)

Of the ways of saying “is” enumerated in book Delta, this leaves the saying of the what-it-is of things with its metonymic satellites in the other categories, and the saying in relation to potentiality and actuality still on the table.

Next he will take an in-depth look at the what-it-is of things and our saying of it.

(One of the things I admire most about Aristotle is his way of speaking simultaneously and even-handedly both about real things that have independence from us, and about the ways and the activity of our saying of and about them. I think this means he might have been receptive to Hegel’s refinements mentioned above, because Hegel recognizably aims to extend the same kind of Aristotelian even-handedness to these cases as well. Aristotle could still say that these additional cases point to the focal case of the what-it-is of things, though I think the incidental and the true and false would be related to it as something like modal extensions, rather than metonymic substitutions like the other categories.)

Next in this series: The What-It-Is of Things

Being as Such?

Aristotle begins book Gamma (IV) of the Metaphysics by saying that after all, “There is a kind of knowledge that contemplates what is insofar as it is, and what belongs to it in its own right” (ch. 1, Sachs tr., p. 53).

To understand what this really means, we need to consider book Gamma as a whole, also taking into account in advance Aristotle’s disambiguation of “being” and “is” in book Delta (V). (There is another enumeration of the meanings of being in book Epsilon (VI), but it is does not really add anything to the one in book Delta.)

Here in book Gamma, he adds the new element that “Being is meant in more than one way, but pointing toward one meaning and some one nature rather than ambiguously…. just as every healthful thing points toward health…. For some things are called beings because they are independent things, others because they are attributes of independent things, others because they are ways into thinghood, or destructions or deprivations or qualities of thinghood, or are productive or generative of independent things, or of things spoken of in relation to independent things, or negations of any of these or of thinghood, on account of which we say even nonbeing is nonbeing. So just as there is one kind of knowledge of healthful things, this is similarly the case with the other things as well” (ch. 2, pp. 53-54).

Classically, “said in many ways” means said homonymously, like “flies” in “Time flies like an arrow” and “Fruit flies like bananas”. The same sound and spelling are used for different meanings that have no discernible relation to one another.

The comparison to health gives a pretty clear indication of what he wants to say here. But the “one thing” that is pointed to in the same way that health is pointed to is not “being”, but rather the concept of what Sachs calls independent things (“substances”).

In the disambiguation in book Delta, Aristotle says “just as many things are said to be in their own right as are meant by the modes of predication”. This is an allusion to the various ways in which things are said, which are enumerated and discussed in an elementary way in the Categories. Ousia (“substance”, or what Sachs calls “independent thinghood”) has a somewhat privileged place in this enumeration — we might say, just because it is the one that the others “point” to. Ousia will later turn out to be the “what it is” or “what it was to have been” of a thing.

The uses of “is” that he mentions are exclusively the transitive ones. He does not even mention any case like “Socrates is, full stop”. There is absolutely no mention of an “is” of existence, as opposed to the “is” of saying something about something. Saying something about something is the only role of “is” here, and this is strongly borne out by the remainder of the text of book Gamma.

Saying the what-it-is of something of that thing is for Aristotle the central, focal way of saying something about something in general. The other ways of saying something about something form what linguists might call a family of metonymies clustered around the saying of what-it-is. Metonymy involves indirectly referring to a thing by referring to one of its attributes. By contrast, Aristotle takes the what-it-is to refer directly to the thing (which is probably why Sachs calls the what-it-is the “thinghood” of the thing).

All the ways of saying something about something have in common that they are ways of saying something about something. In Sachs’ language, they are “modes of predication”. But the saying of what-it-is serves as a kind of paradigm for the rest.

The main body of book Gamma is actually a long polemic against the Sophists and the friends of Cratylus. It is about the conditions of rational discourse.

A number of the Sophists outraged Aristotle by making flagrantly self-contradictory assertions, and claiming a right to do so. Very uncharacteristically, Aristotle seems to lose his cool over this. He goes on and on about it, beating the dead horse into the ground. He does so because for him this is a violation of fundamental ethics.

To deliberately assert something and its contrary, or to claim a right to do so, is not just to talk nonsense. Aristotle implies it is deeply immoral — the deepest possible violation of intellectual integrity and the integrity of thought. As he says, it is completely impossible to have dialogue with someone who insists on this, and dialogue is the foundation of reason. For Aristotle, such a person hardly even qualifies as human.

Kant and Hegel treat unity of apperception not as something that spontaneously happens, but as the fulfillment of an ethical norm. When we commit ourselves to something by asserting it, we are then also morally committed to the assertion of what follows from it, and even more so to the denial of what is contrary to it. Aristotle’s outrage shows how strongly he shares this point of view.

The friends of Cratylus were radical Heracliteans. Heraclitus famously said that all things flow, and you cannot step in the same river twice. Cratylus claimed it would be more correct to say you cannot step in the same river once. Effectively, this means there is no such thing as being the same at all, so “same” has no real meaning. But if there is no sameness, there can be no contradiction, because contradiction is saying contrary things about the same thing. So the friends of Cratylus too ended up justifying what we would regard as self-contradictory statements.

So when Aristotle is concerned to assert that there is after all a knowledge of being as such and that it is the business of the philosopher to have it, all the evidence in book IV leads to the conclusion that what he is really saying is that the philosopher doesn’t just believe but knows that contraries are not true of the same thing in the same respect at the same time. This is simultaneously a genuine knowledge and a condition of any possible dialogue, a moral imperative as Kant would say.

The only other thing besides the principle of non-contradiction that Aristotle mentions in book IV as applying to being as such is mathematical axioms, which are similarly supposed to be true of all things whatsoever (he does not enumerate them).

Famously, Aquinas read Aristotle’s notion of “pointing toward one meaning” as a kind of analogy. The notion of an analogy of being is better considered as original to Aquinas. Analogy is a symmetrical relationship. If A is analogous to B, we should be able to conclude that B is similarly analogous to A.

But Aristotle’s example of the relation of health to healthful things is not symmetrical; health has a kind of logical primacy over healthful things, and Aristotle very explicitly gives the saying of what-it-is a similar primacy over its metonymic relatives corresponding to the other categories. That is the very means by which he gets from the non-univocity of being to a single concept. That concept is ousia — i.e., “substance”, “essence”, what Sachs calls “thinghood”, or the what-it-is of a thing.

Some commentators have argued that the subject of the Metaphysics is “ousiology”. That seems more accurate than the conventional “ontology”. In any case, Aristotle’s focus is on the conditions of meaningful saying, and especially on saying of what-it-is — not at all on being in the sense of existence.

In the big picture, existence as such is just not an important philosophical concept for Aristotle. What something is and why it is that way are what he is concerned with.

There will be a further level beyond this, in which we will further distinguish the saying of what something is by looking at it in potential and in act, where these terms are understood in a way that is independent of motion, and instead is oriented toward that-for-the-sake-of-which and the good.

Next in this series: Causes and Sources

Aporias

“Aporia” is Aristotle’s Greek technical term used by many philosophers in English for what Sachs in his glossary to the Metaphysics calls an “impasse” or “logical stalemate that seems to make a question unanswerable. In fact, it is the impasses that reveal what the genuine questions are” (p. lv).

Book Beta (III) of the Metaphysics develops many such impasses. I take this as evidence of Aristotle’s extraordinary intellectual honesty and depth of insight.

Aristotle writes, “[T]hose who inquire without first coming to an impasse are like people who are ignorant of which way they need to walk, and on top of these things, …one never knows whether one has found the thing sought for or not. For the end is not apparent to this one, but to the one who has first been at an impasse it is clear. And further, one must be better off for judging if one has heard all the disputing arguments as if they were opponents in a lawsuit” (ch. 1, p. 35).

“About all these things it is not only difficult to find a way to the truth, but it is not even an easy thing to articulate the difficulties well” (p. 37).

For anyone who has been following recent posts a little, we have seen abundant examples of such challenging but fruitful impasses in the development of Hegel’s Logic. Those were not just some weird things that Hegel cooked up, but yet more evidence of Hegel’s profoundly Aristotelian approach.

Aristotle mentions a long series of such impasses related to the subject matter of the Metaphysics, including those about the nature and number of causes; whether causes are universal or particular; whether there are things beyond perceptible things; the status of mathematical objects; and whether there are causes that are independent of what he calls matter (or “material”, as Sachs calls it to help disambiguate Aristotle’s more “logical” distinction from modern physicalistic concepts).

“Furthermore, the most difficult question of all, that has in it the greatest impasse, is whether one and being, as the Pythagoreans and Plato said, are not anything different, but are the thinghood of things — or whether this is not so, but the underlying thing is something different” (p. 36).

“And there is a question whether the sources of things are universal or like particular things, and whether they have being potentially or at work, and in turn whether they are at work in some other way or by way of motion” (p. 37).

“But now if there are a number of kinds of knowledge of the causes, and a different one for a different source, which of these ought one to say is the one… being sought?” (ch. 2, p. 36).

“And in general, is there one or more than one kind of knowledge about all beings? And if there is not one, with what sort of beings ought one to place this kind of knowledge? But that there is one about them all is not reasonable; for then there would also be one kind of demonstrative knowledge about all attributes” (p. 39).

“But it is not possible for either oneness or being to be a single genus of things…. [I]f oneness or being is a genus, no differentia would either be or be one…. And on top of these things, the differentia are sources still more than are the genera” (ch. 3, p. 43).

“So from these things, it seems that the predicates applied directly to the individual things are sources more than are the general classes; but then in turn, in what way one ought to understand these to be sources is not easy to say” (p. 44).

“For if there is nothing apart from particular things, while the particulars are infinite, how is it possible to get a hold of a knowledge of infinitely many things? For insofar as something is one and the same, and insofar as it is present as a universal, in this way we know everything. But if this is necessary, and there has to be something apart from particulars, the general classes of things would have to have being apart from the particulars…. But we just went through an argument that this is impossible” (ch. 4, p. 44).

“Now if there is nothing apart from the particulars, there could be nothing intelligible, but everything would be perceptible and of nothing could there be knowledge, unless someone claims that perception is knowledge. What’s more, neither could there be anything everlasting or motionless (since all perceptible things pass away and are in motion). But surely if there is nothing everlasting, neither could there be coming-into-being. For there must be something that comes into being and something out of which it comes into being” (pp. 44-45).

“And an impasse no lesser than any has been neglected by both present and earlier thinkers, as to whether the sources of destructible and indestructible things are the same or different. For if they are the same, in what way and through what cause are some things destructible and others indestructible?…. But about mythological subtleties it is not worthwhile to inquire seriously; but on the part of those who speak by means of demonstrations, one must learn by persistent questioning why in the world, when things come from the same sources, some of the things have an everlasting nature but others pass away. But since they neither state any cause, nor is it reasonable that it be so, it is clear that there could not be the same sources or causes of them” (p. 46).

“[B]ut if there are different sources, one impasse is whether they themselves would be destructible or indestructible…. Furthermore, no one has even tried to speak about different sources, but all say that the same sources belong to all things. But they gulp down the thing first stated as an impasse as though taking it to be something small.”

“But the most difficult thing of all to examine, as well as the most necessary for knowing the truth, is whether being and oneness are the thinghood of things…. But surely if there should be some being-itself and one-itself, there is a considerable impasse about how there would be anything besides these — I mean how things will be more than one” (pp. 47-48).

“So it is necessary to raise both these impasses about the sources, and one as to whether they are universal or what we call particular. For if they are universals, they will not be independent things. (For none of the common predicates signifies a this but rather an of-this-sort, while an independent thing is a this….) So if the sources are universal, these things follow; but if they are not universal but are in the same way as particulars, there will be no knowledge, since of all things the knowledge is universal” (ch. 6, pp. 51-52).

Next in this series: Being as Such?