Grammatical Prejudice?

In several of his works, Nietzsche attacks the “grammatical prejudice” or “superstition of logicians” in positing a doer behind the deed. For example:

“‘[T]he doer’ is merely a fiction added to the deed — the deed is everything. The popular mind in fact doubles the deed; when it sees the lightning flash, it is the deed of a deed: it posits the same event first as cause and then a second time as its effect. Scientists do no better when they say ‘force moves’, ‘force causes’, and the like” (Genealogy of Morals, 1st essay, section 13, Kaufman tr., p. 45).

One of the more obvious targets of this polemic would seem to be a certain stereotypical Aristotelianism. Such a view would take Aristotle’s more superficial characterization of “substance” [ousia] as the “underlying thing” as a final truth. As Nietzsche points out, this view has very wide diffusion, and has come to be regarded as common sense.

We have seen in some detail, however, that in his more advanced thought in the Metaphysics, Aristotle explicitly inverts this popular prejudice, and makes act [energeia] the criterion of what is a substance most of all [ousia malista]. As Goethe said, “In the beginning was the deed”.

Contrary to Nietzsche though, this does not make of substance a mere fiction. For Aristotle, substance is ultimately a result rather than a starting point. It turns out to be a derived concept, rather than an elementary one as may first appear. But as a result and as a derived concept, it has legitimate use.

Even the great 20th century Thomist Etienne Gilson suggests in his Being and Some Philosophers that we should think of being as a verb rather than as a noun. I too keep harping on the fact that all the many “senses of being” Aristotle enumerates in book Delta of the Metaphysics are senses of the connective “is”. But this is not the end of the story either.

The next thing we should notice is that what Aristotle principally enumerates and emphasizes in book Delta and elsewhere are the senses of being in which we say something “is” something (else) in accordance with one of the categories. These are transitive (connective) senses of “is”, associable with the formation of propositions that could be evaluated as true or false. Behind Aristotle’s talk about being is a guiding concern with normative saying and intelligible explanation of what properly speaking “is” the case. With his Thomistic roots, Gilson on the other hand emphasizes an intransitive sense of being as “existing”.

In numerous passages in the Metaphysics, Aristotle does indeed use “being” in an intransitive way, but my contention is that this is by way of summary or a kind of shorthand, which should be understood as presupposing and referring back to something like the enumeration of senses of being that we actually find in book Delta, all of which I would contend are transitive.

The only apparent exception in Delta is none other than being in the sense of in-act and in-potentiality. This occurs at the very end of the enumeration, and can reasonably be interpreted as shorthand for the longer expressions used earlier. Moreover, the detailed discussion of being in-act and in-potentiality in book Theta is about something (transitively) being something definite in-act or in-potentiality. In Delta, I think the brief mention of being in-act and in-potentiality is to be understood as wrapping a modal dimension around the more basic saying of “is” in the senses of the Categories. (Here I have passed over other senses of being that Aristotle himself says are less important, but none of these corresponds to what the scholastics and the moderns call existence either.)

Perhaps Gilson is right that Aquinas can be read as a sort of “existentialist”. But relatively speaking, I think Aristotle himself is closer to the analytic and continental philosophers who have emphasized the importance of language, meaning, and discourse. (See also Being as Such?.)

Being and Becoming

“Our hypothesis is the following: the division of being into [being] in potentiality and [being] in act has a greater extension than that according to the categories. If the latter only determine the mobile and composed substances, act is said also of the immobile, and its priority over potentiality allows the relation of the immobile substance to the mobile substances to be thought” (Gwenaëlle Aubry, Dieu sans la puissance, 2nd ed., ch. 2, p. 51, my translation throughout).

“Dunamis [potentiality] and energeia [act] are the foundation of an anti-Parmenidean ontology, which articulates movement with being. They respond thus to the requirement defined in [book capital Alpha] for a science capable of giving account of both being and movement, both the one and the multiple. Since book Gamma, the notion of dunamis serves to resolve the dilemma of becoming: the posing of being in potentiality allows overcoming the impasse of emergence (that it is from non-being that being comes) as well as that of coexistence (that it is from contraries pre-existing in act that all being comes)” (pp. 51-52).

As Aristotle well recognizes, these impasses related to becoming imply that pre-Socratic notions of “being” were severely flawed.

“Invoked to think not only becoming, but the being of becoming, sensible and mobile substance, the notions of potentiality and act serve, over books Zeta and Eta, to replace those of matter and form. It is in book Theta, in backwards order, that the process finds its justification: the ontological pertinence of the two notions is there underlined, and their transfer from the field of movement to that of being, elucidated. At the end of book Theta, finally, are formulated the conditions for an extension of dunamis and energeia from the field of corruptible substances to that of eternal substances” (p. 52).

Again, for Aristotle, “eternal” means not radically outside of time as it does in Augustine, but simply persisting forever.

Aubry wants to recover a sense for Aristotelian being-as-such that is not the “absolutist” one of a first Being, argued for by excellent Thomist scholars like Joseph Owens. In passing, she cites Aristotle’s aversion to pursuing ultimate explanation in terms of “numbers, lines, or fire” (p. 53). As Aristotle says in book Gamma, “for us too it is the first causes of being as being that must be gotten hold of” (ch. 1, Sachs tr., coincidentally also p. 53). Aubry notes that this also takes us beyond any consideration of being as a genus or species.

But in spite of the fact that being is not a genus, the first causes for Aristotle are common to all beings. She refers to the “focal” meaning of being as ousia, while arguing that ontology is not reduced to the study of substance. She alludes to Aristotle’s inclusion of the knowledge of axioms and the principle of non-contradiction in the knowledge of being, while pointing out that the principle of non-contradiction is not a cause. She notes how Aristotle first mentions then dismisses incidental sayings of being, and the saying of being in the sense of true and false.

She discusses Pierre Aubenque’s argument that being in the senses of the Categories is more fundamental than potentiality and act, commenting that it encounters a difficulty in Aristotle’s explicit development of a sense for potentiality and act that goes beyond their use in the explanation of motion. She notes that Franz Brentano among others argues the opposite: potentiality and act are not reducible to the categories. She doesn’t think Aristotle addresses this question of priority explicitly; any answer will be based on analysis of what Aristotle does with the respective terms.

Both the categories and potentiality and act are at the basis of a non-Parmenidean ontology. The pair of potentiality and act in particular allows for the articulation of “a certain non-being” within being. Saying according to the categories, too, generates affirmations that from a Parmenidean point of view would be paradoxical. Every predication says that something “is” something other than just what it is.

“Potentiality is in effect the place where contraries can coexist” (p. 61). “It allows becoming to be thought without violating the founding principle of being and of discourse [non-contradiction]” (p. 62). “In opposition to the Eleatics, the distinction of potentiality and act plays the same role as that of substance and accident against the Sophists: it founds the possibility of predication. The accent is nonetheless inverse: if it serves, in Gamma 3, to reconnect the diversity of predicates to the unity and the identity of a subject, it serves here to relate one same subject to the possible plurality of predicates” (ibid).

“There is nonetheless one thing that dunamis and energeia say that the categories do not say: the becoming other of the same, the becoming multiple of the one” (ibid). Here she recalls Aristotle’s polemic against the Megarians in book Theta. The Megarian denial of the difference between act and potentiality makes becoming unintelligible, because it eliminates all continuity within change. This makes the explanation of change impossible.

“Dunamis thus appears as the very instrument of the thought of becoming” (p. 66). And “not only becoming, but being in becoming” (ibid).

Next in this series: Mixing Up Plato and Aristotle

Pure Act

I just received the 2nd French edition of Gwenaëlle Aubry’s God Without Power: Dunamis and Energeia in Aristotle and Plotinus (2020), which is now also labeled Archaeology of Power volume 1, reflecting publication of her second volume, Genesis of the Sovereign God (French ed. 2018).

“But the notion of act (energeia or entelekheia) says something else that that of form does not: not only substance, but also the good. Of Aristotelian invention, contrary to that of form which belongs entirely to Platonism, it appears first in ethical contexts; and if its axiological significance is not explicitly formulated in [book Theta of the Metaphysics], but only suggested via the identification of energeia with telos [end] and with ergon [work], it is on the other hand clearly readable in book Lambda. Furthermore, the project formulated in book capital Alpha of a ‘wisdom’ (sophia) capable of determining the good and the end, like that, defined in [book Gamma], of a science of ‘being qua being’, are both accomplished in the knowledge of a single object: act.”

“For such a project, Aristotle claims originality. He underlines that he is the first to have posed the good as a principle, and to have dissociated principle and power. Reading the history of philosophy reversed in relation to the one familiar to us, he considers thus that position of the good as principle is not a Platonic gesture. But if the Platonists have failed to think the status of the good as principle, that is in part because they did not identify its proper mode of causality. The double Aristotelian decision thus bears a unique formula: the principle is act. For to designate it thus, is to say at once that it is an essentially good substance, and that it acts not as power, but as the end of that which is in potentiality.”

“It is however also, and in conformity always with the project of Metaphysics [capital Alpha], to leave a place for the diversity of goods and of ends. For, like being, the good is said in many ways. And if the Ethics identify the good according to substance with god and with intellect, this is not the essence of all that could be called ‘good’, any more than it is the act of the other substances. So here again, Aristotle succeeds where Plato had failed: he succeeds at the same time in thinking the good’s status as a principle and the causality of the good, as well as taking into account the plurality of goods (which also says: the good is neither a power nor an Idea). However, a relation of foundation holds between the essentially good substance and the goods of the diverse substances. And this relation doubles itself, for the substance that is the human, in a relation of resemblance and a relation of knowledge, if theoria [contemplation], in which ethics finds its energeia and its supreme end, at the same time is similar to the divine act, and can have the latter as its object” (introduction, pp. 15-16, my translation).

The mode of causality of the good as first principle is as the end or that-for-the-sake-of-which, as a kind of attractor for potentialities. I’ve presented most of these ideas before, but this provides a very nice overview. Aubry gives a bit more weight to book Gamma’s proposed knowledge of being as such than I do, but the content that she ultimately gives to it is very close to what I end up with in reading book Lambda as a teleological meta-ethics (she calls it “axiology” or theory of values, but the concept is similar). In upcoming posts, I’ll take a look at her detailed analysis of the text of the Metaphysics. (See also The Four Causes Revisited; On the Good as a Cause; Aubry on Aristotle; Properly Human, More Than Human?.)

Aristotle’s main historical influence began only centuries after his death. His manuscripts were claimed by a relative and left to deteriorate in an attic. They were only edited around the 1st century BCE. Even then, they attracted only limited interest. Stoicism had meanwhile become dominant in Greek philosophy. The great early commentator Alexander of Aphrodisias did not flourish until late 2nd/early 3rd century CE, and was influential mainly via Plotinus and the neoplatonic schools. It was only with the late Platonic school of Alexandria in Egypt under Ammonius (late 5th/early 6th century CE) that Aristotle’s works became central to the teaching curriculum, and then they were read with a heavy neoplatonic slant. (See Fortunes of Aristotle.)

Next in this series: Distinguishing Act and Form

Toward a First Cause

Book Kappa (XI) of Aristotle’s Metaphysics briefly reviews material from books Beta (III), Gamma (IV), and Epsilon (VI) about the aims of the ultimate inquiry into first things that is still to be pursued. It also incorporates a brief review of his discussions in Physics books II, III, and V about what motion and change are. Both parts of the presentation here add more explicit hints that we will be looking for something that is both separate and unmoved. These hints are the book’s main interest.

Perhaps surprisingly given its review of content from the Physics, Metaphysics Kappa makes no reference to the detailed argument in Physics book VIII that there is a first unmoved mover of all things, or to the related background about unmoved things in Physics book VII. The beginning of Physics book VIII refers back to “our course on physics”, which is ambiguous, but could imply that it was written later, and possibly after Metaphysics Kappa, which would explain why book VIII’s argument about the first mover is not mentioned here.

“But neither ought one to set down the kind of knowledge being sought as concerning the causes spoken of in the writings about nature, since it is not about that for the sake of which (for this sort of cause is the good, and this belongs among actions and things that are in motion, and it moves things first — for that is the sort of thing an end is — but a thing that first moves them is not present among immovable things). And in general, there is an impasse whether the knowledge now being sought is about perceptible independent things at all, or not, but about other things. For if it is about others, it would be about either the forms or the mathematical things, but it is apparent that there are no forms…. But neither is the knowledge being sought about mathematical things, nor is it a knowledge of perceptible independent things, since they are destructible” (ch. 1, Sachs tr., pp. 205-206).

This passage is interesting in a couple of ways. The knowledge being sought in the inquiry to be conducted is now more definitely said to be not about perceptible independent things, not about mathematical things, and not about Platonic forms.

He also points out that what he calls physics is concerned primarily with what he calls sources of motion and change. It does not address questions about the good or that-for-the-sake-of which, except in an incidental way. But in Parts of Animals book I, he clearly says that in the overall scheme of things, the good and that-for-the-sake-of-which are more primary than sources of motion. The implication here in Metaphysics Kappa is that the inquiry being prepared for will address them in their own right.

“Also, ought one to set down anything besides the particular thing or not, and is the knowledge being sought about particulars?” (ch. 2, p. 207).

For Aristotle, no universal is an independent thing. The knowledge being sought does seem to be about particulars.

“And there is besides an impasse, that all knowledge is of universals and of the suchness of things, but thinghood does not belong to universal” (p. 208).

Knowledge, however, is concerned with universals. This was the major impasse remaining at the end of book Zeta (VII).

“Now since the knowledge that belongs to the philosopher concerns being as being universally and not in relation to a part, … if it is meant in accordance with something common, it would be subject to one knowledge. It seems to be meant in the way that has been spoken of, in just the way that medical and healthy are meant” (ch. 3, p. 209).

He refers back to the discussion of how the saying of being in the other categories points back to the saying of substance-essence-thinghood.

“Since all being is meant in accordance with something that is one and common, even though it is meant in a number of ways, … such things are capable of being subject to one knowledge” (p. 211).

This enables us to say that there is after all one knowledge that can be said to be of being as such. It will address the proper saying of substance-essence-thinghood directly, and the proper saying of being in the other categories in a derivative way.

“And since the mathematician uses common notions in a particular way, it would also belong to the primary sort of philosophy to study the things that govern these” (ch. 4, p. 211).

He seems to assert in passing that first philosophy includes what we would call the foundations of mathematics. Elsewhere he mentions that the first principles of mathematics are similarly supposed to be applicable to all things. But mathematics does not address what things in general are in their own right.

“And it is the same way also with the knowledge about nature as with mathematics, for physics studies the attributes and sources of beings insofar as they are in motion and not insofar as they are, (but we have said that the primary sort of knowledge is about these things to the extent that the things underlying them are beings, but not insofar as they are anything else). For this reason one must set down both this sort of knowledge and the mathematical sort as parts of wisdom” (pp. 211-212).

Neither mathematics nor what Aristotle calls physics addresses substance-essence-thinghood, or what things are in their own right. It is left to first philosophy to do this, as well as to inquire into the ultimate principles that underlie mathematics and physics.

Just as in book Gamma (IV), Aristotle’s claim that there is after all a knowledge that applies to all being as such, and that the philosopher is the one who has it, is immediately followed by a somewhat lengthy expression of outrage against those who claim a right to contradict themselves, or deny that there is any such thing as contradiction. Just as in book Gamma, the concerns he expresses are about dialogue, the understanding of meaning, and the possibility of sound reasoning.

This makes perfect sense when we recall that Aristotle has consistently treated being in a transitive way, as always being this or being that; and as intimately involved with saying, especially the saying of what things properly are in their own right. He has at the same time treated saying as meaningful saying, intimately involved with reasoning. So we should not be surprised when it turns out that the knowledge that applies to all being as such has to do with fundamental principles and presuppositions of reasoning and the understanding of meaning.

“Now those who are going to participate in a discussion with each other must in some way understand what they say…. It is necessary then for each of the words to be intelligible and to mean something, and not many things but only one, but if it does mean more than one thing, it is necessary to make clear to which of these one is applying the word. So the one who says ‘this is and is not’ denies that which he says, and so he denies that the word means what it means, which is impossible” (ch. 5, p. 212).

Then he again expresses outrage at what he takes to be Protagoras’ claim that truth is entirely subjective. If this were the case, there would be no being as Aristotle understands it. Being “in its own right” is discursively communicable intelligibility.

“Something closely resembling these things being discussed is what was said by Protagoras, for he said that a human being is the measure of all things, meaning nothing else than that what seems so to each person is solidly so” (ch. 6, p. 213).

“And since it is necessary for each sort of knowledge to know in some way what something is, … one must not let it go unnoticed in what way the one who studies nature needs to define it and how he needs to get hold of the articulation of the thinghood of things” (ch. 7, p. 217).

The inquiry to be pursued here is implicitly presupposed by physical inquiries. To the extent that one of these two, taken in itself, governs the other, taken in itself, the inquiry to be pursued here is more primary than physics (or mathematics).

“Now the study of nature is about things having a source of motion within themselves, while mathematics is contemplative and concerns something that remains the same, but is not separate. Therefore, about the sort of being that is separate and motionless, there is another sort of knowledge that is different from both of these, if there is any such independent thing — I mean something separate and motionless — which is just what we shall try to show. And if there is any such nature among beings, that would be where the divine also is, and this would be the primary and most governing source of things. It is clear, then, that there are three classes of contemplative knowledge: physics, mathematics, and theology” (ibid).

What he calls nature is a source of motion within something “as itself” (all other sources of motion he calls potentialities).

Now he explicitly mentions that he intends to show that there is a kind of being that is both separate and motionless, as he understands these two terms. He says that if there is such a thing, it will be “where the divine is”, and it will be “the primary and most governing source of things”. First philosophy will therefore be alternately characterized as theology.

He returns to the impasse about knowledge in first philosophy. “One might be at an impasse whether the knowledge of being as being ought to be set down as universal or not” (p. 218). Knowledge is supposed to be concerned with universals, but we are seeking an independent thing, and no logical universal is an independent thing.

In the earlier suggestion of a solution to this impasse, he re-interpreted the many ways in which being is said for the different categories, re-describing them as multiple derivative meanings pointing to one primary meaning. This seemed to eliminate the need to refer to a universal that abstracts over the ways being is said for the different categories.

Now he complements this by introducing a new way of speaking universally, which does not depend on abstraction. Instead, universality can be achieved by referring to a concrete thing or things that is or are concretely the cause or causes of all things, and that therefore is or are prior to all the rest.

“So if natural independent things are primary among beings, then also physics would be the primary sort of knowledge; but if there is another nature and independent thing that is separate and motionless, it is necessary that the knowledge of it be other than and prior to physics, and universal by being prior” (ibid).

Everything that Aristotle calls independent, he also calls separate. Also equivalent to these is calling something a this. As noted earlier, the challenge is to find something that is independent and separate and a this, but that is also unmoved in his sense. The impasse about universality will be conclusively resolved by finding something that is universal not in the sense of being abstract, but rather, as he says, universal in the sense of being “prior” to all other things, because it is a cause for all of them.

“And that, of what is so incidentally, there are not causes and sources of the same sort as there are of what is so in its own right, is clear, for then everything would be by necessity” (ch. 8, p. 219).

As he said in book Zeta (VII), the contingency of incidental being must have contingent, incidental causes. Now he relates this more specifically to a consideration of that-for-the-sake-of-which.

“That which is for the sake of something is present in things that happen by nature or as a result of thinking, but it is fortune when any of these happen incidentally, for just as being is in one way in its own right and in another way incidental, so also with cause. And fortune is an incidental cause in the things that are by choice, among those that happen for the sake of something, for which reason fortune and thinking concern the same things, since there is no choice apart from thinking…. And since nothing incidental takes precedence over things in their own right, neither then do incidental causes, so if fortune or chance is a cause of the heavens, intelligence and nature have a prior responsibility” (pp. 219-220).

There is such a thing as fortune or things happening by chance, but “intelligence and nature have a prior responsibility”, just as what things are in their own right takes precedence over things that are the case incidentally.

“Something is in one way only as at-work, in another way as in potency, and in another way both in potency and at-work, and again in one way as a being, in another as a so-much, in other ways in the rest of the categories; and there is no motion apart from things, since something changes always according to the categories of being, and there is nothing common to these which is not within a single category” (ch. 9, p. 220).

Every change is understood by Aristotle as a change with respect to one of the categories. What is common to these is not an abstraction, but the single concrete sense for one category (substance-essence-thinghood), from which the senses for the other categories are derived.

Here he mentions being in the sense of potentiality and actuality, before he mentions being in the senses of the categories. Next, he summarizes the Physics‘ account of motion. “Motion” is the (incomplete) actualization of a potentiality, where actuality or being-at-work or fulfillment would be its complete actualization.

“So the being-at-work-staying-itself [entelechy, identified by Aristotle with actuality or being-at-work or fulfillment] of what is in potency, whenever it is at-work as a being-at-work-staying-itself, not as itself but as movable, is motion” (p. 221).

“And the reason for motion’s seeming to be indefinite is that it is not possible to place it as a potency or as a being-at-work of beings, for neither is what is capable of being so-much necessarily in motion, nor what is actively so-much; and motion seems to be a certain sort of being-at-work, but incomplete, and the reason is that the potency of which it is the [complete] being-at-work is itself incomplete. And for this reason it is hard to grasp what it is, for it is necessary to place it either as a deprivation or as a potency or as an unqualified being-at-work, but none of these seems admissible; so what remains is what has been said, both that it is a being-at-work and that it is the sort of being-at-work that has been described, which is difficult to bring into focus but capable of being” (p. 222).

Motion is an incomplete actuality or being-at-work or fulfillment. This is a rather subtle thought, the grasping of which requires that we first understand that-for-the-sake-of-which, actuality, and potentiality. (Motion in the modern sense, on the other hand, has no teleological significance. It is entirely reducible to measurable quantities. It it not that one of these is “right” and the other “wrong” — they are two different concepts, grounded in different kinds of explanation.)

“And it is clear that motion is in the movable thing, for it is the being-at-work-staying-itself of this by the action of the thing capable of causing motion. And the being-at-work of the thing capable of causing motion is not different, since it is necessary that it be the being-at-work-staying-itself of both; for a thing is capable of causing motion by its potency and is in motion by being-at-work, but it is capable of being-at-work upon the thing moved, so that the being-at-work of both alike is one, just as the interval from one to two and from two to one is the same, and the uphill and downhill road, though the being of them is not one, and similarly also in the case of the thing causing motion and the thing moved” (ibid).

Motion for Aristotle is always said to be in the thing moved, not in the mover. The potentialities of mover and moved with respect to any motion are said to be one.

“Now it is not possible for the infinite to be something separate…. Also, how could the infinite admit of being something in its own right, if number and magnitude, of which the infinite is an attribute, do not?…. And it is clear that it is not possible for there to be an infinite actively…. [T]hat there is no infinite among perceptible things is clear…. [N]or could there be a number that is separate and infinite, since a number or that which has a number is countable…. In general it is impossible for there to be an infinite body and a place for bodies” (ch. 10, pp. 222-224).

As he argues in greater detail in the Physics, there is no “separate” or “actual” infinite.

“[T]here is something that is moved primarily on account of itself, and this is what is moved in its own right. And this is the same way also with the thing that causes motion, for it does so either incidentally, or on account of a part, or in its own right” (ch. 11, p. 225).

There is something that is a mover in its own right.

“But the forms and the attributes…, such as knowledge and heat, are motionless; it is not heat that is a motion but the process of heating. Change that is not incidental is not present in all things but in contraries and what is between the and in contradictories, and belief in this comes from considering examples” (ibid).

For Aristotle, it is only composite things (i.e., those he understands as formed from material) that are subject to motion and change. In his sense, for instance, a composite thing may undergo a process of becoming warmer, and that would be a kind of motion of the thing. But heat itself is not a composite thing. (That heat itself does not move would be true even under the modern interpretation of it as the amount of molecular motion within a material.)

“A thing that changes does so either from one underlying thing to another, or from what is not a subject to what is not another subject, or from what is not a subject to that subject (and by ‘subject’ I mean what is declared affirmatively), so that there must be three kinds of change, since that from what is not one subject to what is not another subject is not a change, for they are neither contraries nor is there a contradiction, because there is no opposition between them” (ibid).

“And since every motion is a change, and the kinds of change mentioned are three, but those that result from coming-into-being or destruction are not motions, and these are the changes between contradictories, it is necessary that change from one subject to another be the only sort of change that is motion” (p. 226).

A “subject” here is just some thing that underlies something else that has the character of an attribute. I would infer that the change from one subject to another that is spoken of here is a reference to the way that something that is potentially X becomes actually X by the action of something else that is already actually X, as the parent of a child and the Platonic “model” of an artifact were said to be.

“So if the ways of attributing being are divided into thinghood, quality, place, acting or being acted upon, relation, and quantity, there are necessarily three kinds of motion, with respect to the of-what-sort, the how-much, and the place. There is no motion with respect to thinghood, because nothing is contrary to an independent thing, nor of relation …, nor is there a motion of acting and being acted upon, nor of moving and being moved, because there is not a motion of a motion or a coming into being of coming into being, or generally a change of a change…. For every motion is a change from one thing to another, and this is also with coming into being and destruction, except that these are changes into one sort of opposites, while motion is a change into another sort” (ch. 12, pp. 226-227).

The modern concept of acceleration is not a “change of a change”, but a change in a rate of change. Surprisingly, he does not seem to mention change with respect to place, or locomotion, here.

“Also, it would go to infinity if there were to be a change of a change and a coming into being of coming into being…. And since of infinite things there is no first one, there would not be a first becoming, and therefore no next one either, and then nothing would either come into being or be moved or change” (pp. 227-228).

Here as elsewhere, Aristotle is anxious to avoid any form of infinite regress. Showing that there is a separate, unmoved, everlasting thing that moves others is what will enable him to do that. That will be the main task of book Lambda (XII).

Next in this series: Pure Entelechy