Ousia Energeia

Aristotle’s Metaphysics is arguably the single most important text in the history of philosophy, but even though on one level Aristotle’s writing is extremely clear and lucid, its deeper implications have been highly disputed. The great Iranian philosopher Avicenna is reported to have said that he read the Arabic translation of the Metaphysics 40 times without understanding it, and only began to understand after reading the commentary by Alfarabi. We are nearing the end of a long journey following what I think is a brilliantly innovative 21st century reading by Gwenaëlle Aubry. Here I’m covering the first half of her discussion of book Lambda chapter 7.

The title of this post is a phrase used by Aristotle to characterize the first cause. He distinguishes it as the ousia [“substance”] that, unlike other substances, simply “is” energeia [“act”]. The latter Greek term was coined by Aristotle, and the former was “substantially” redefined by him. I find it is best to put aside ordinary connotations of the English words for key philosophical terms like this (including “first cause”) — and to focus instead on the ways the philosopher himself uses them, along with what he says about them.

“Chapter 7 of book Lambda responds to the question, left in suspense, of the mode of relation of the first mover to the moved, and of the nature of its action. At the same time it exploits and deploys the ontological signification of energeia, designating in act the mode of being of the separate, and identifying it with the good and the end” (Aubry, Dieu san la puissance, 2nd ed., ch. 5, p. 184, emphasis added, my translation throughout).

“In so doing, it implies at the same time a distinction, absent from book Theta, between kinesis [motion] and energeia, the last being designated as the mode of being of the unmoved, even while maintaining a broad sense of energeia, understood not only as act and as a mode of being, but also as a certain activity (contemplation)” (ibid).

Aubry previously noted that Aristotle’s earliest use of energeia seems to have been in an ethical context. Here she points out that Aristotle is distinguishing between its better known physical sense (which already has a teleological element) and what she calls its ontological sense.

“The first lines of Lambda 7 mark a progress in relation to chapter 6, since they demonstrate not only the necessity of posing a principle that is act and not power in order to give an account of eternal motion, but also of that of thinking the first mover as unmoved” (ibid, emphasis added).

Within the context of Greek philosophy, the very idea of an unmoved mover is another extremely important Aristotelian invention. Plato speaks instead of a self-moving thing, thus postulating motion as an unexplained primitive attributed to something as a whole. He is not bothered by the unexplained primitive, because he sees becoming as fundamentally lacking intelligibility. For Aristotle on the other hand, motion ought to be explainable, and every explanation of motion also involves a passivity. To move in the colloquial English sense is always to be moved in Aristotle’s sense, by something, and we can give an account of this. It will turn out that the primary examples he gives of “movers” are the unmoved intelligible and desired things that serve to activate internal principles of motion in other things. But living beings such as animals also function as “moved movers”.

Aubry quotes Aristotle’s characterization of an unmoved mover as “being at the same time ousia and energeia” (p. 185). Aristotle makes a very compressed reference to his critique of Platonic “self-moving” in Physics book VIII. Anything we broadly call a “self” mover must be a moved mover, because it is implicitly moved by what it understands and desires. Any moved mover — and hence any self-mover — must be only an intermediary cause, and not an ultimate principle. Aristotle wants to very emphatically insist that the first cause is in the strict sense an unmoved mover, and not a self-mover in the broad sense that an animal is a self-mover. For him, any holistic “self-motion” necessarily involves the kind of mixture of activity and passivity that we attribute to an animal. Such a mixture is incompatible with the nature of the first cause.

“[I]t is because energeia is conceived here as ousia, and no longer as kinesis, that the first mover is unmoved” (ibid).

“This poses the question of how the unmoved can be the principle of movement. The demonstration this time proceeds in an indirect way: it consists in the premise according to which the desirable and the intelligible move [other things] without being moved, then in successive identifications, first of the real good with the desirable, then of simple and actual substance with the first intelligible, and finally of the first intelligible with the good. We then ought to conclude that the actual substance, itself already identified with the first mover, is identical with the intelligible and the good, and as such can move [other things] without being moved” (ibid).

She goes on to note that what allows these terms to be unified is really once again energeia, although at first it seems to be substance. This makes perfect sense, given the conclusions of book Eta.

“The unifying term of these identifications seems here to be that of substance. It is so nonetheless by the mediation of a double relation of anteriority: of substance itself, first of all, in the series of positive contraries; then, within substance, of substance that is simple and in act, haplo kai kat’energeian — or, more precisely, of substance that is simple insofar as it is said according to act. For it is this position of the preeminence of substance in the context of the series of intelligibles that justifies its identification not only with the good and the desirable, but with the better or that which is analogous to it. Thus it is once again the notion of energeia more than that of substance that appears as the conceptual mover of the demonstration, and as that from which the attributes of the principle can be deduced” (pp. 185-186, emphasis in original).

Just as Aristotle uses ousia or substance to explain our talk about being, he uses energeia or act to explain our talk about substance. And sometimes he even uses entelekheia or entelechy to explain our talk about act.

“Up to this point, Lambda 7 has established that the unmoved can be a mover, but not how it moves something else. Here again, the demonstration proceeds in an indirect way: it begins by establishing that there is also a final cause among unmoved things. In order to do this, we have to make precise what we mean by ‘final cause'” (p. 186).

“The text at this point poses a problem. Since antiquity, it has been reconstructed so as to coincide with parallel passages in Physics II and On the Soul II which, also relying on a pronominal distinction, distinguish between two senses of the final cause, that is to say to ou and to o, that which is envisaged and that for which something is — or, according to the traditional interpretation, the end of an action and its beneficiary. But neither of the senses thus distinguished can apply to the first mover: the latter cannot be conceived as the beneficiary of action, which would imply that it did not have its end in itself, and would thus be incompatible with its status as pure energeia. But it is equally difficult to conceive it as the end envisaged by action, since this would imply that the movement ends in it, or finds in it its term: the first mover would thus be the act and the end of eternal motion, and indeed of every moved being; thus conceived, the divine would be in sum the act of the world, or at least of the moved substances that make it up, whose separate existence would be explained only by the failure of their fusion with it” (pp. 186-187).

“The context of the distinction in On the Soul is nonetheless very close to that of the distinction of Lambda 7, since the text opposes on the one hand living things (plants and animals) considered as substances subject to the cycle of generation and corruption, and on the other hand the eternal and the divine…. Nonetheless, it does not aim to distinguish between an unmoved end and an end presupposing movement, but rather between an immediate and immanent end and a mediate and transcendent end. The first is identified with the soul, designated as being at the same time cause of motion, essence, and final cause…. The second is identified not with the divine itself, but with participation and community (koinonia) with it, and a community envisaged as continuous. Thus is explained the process of generation, which compensates for that of corruption: not being able to [persist indefinitely] as individuals, living things [persist] not in their numerical unity, but in the unity of their species. The object of their desire is thus not to be god but to participate in the divine, or in the mode of being that characterizes continuity and eternity. Or again, it is not to assimilate themselves to the divine form or the divine act, but rather to perpetuate their own form and act, in the way that the divine continually maintains its own” (p. 187, emphasis in original).

“But if read this way, as a distinction not between the end of action and its beneficiary, but between two kinds of end, the distinction in On the Soul seems reconcilable with that of Lambda 7, and to apply to the first unmoved mover: the latter should be understood neither as the immediate end of action nor as the one who attains that end, but as that which the moved substances aim at through their own proper ends” (pp. 187-188, emphasis added).

“The latter aim at no other end than themselves, and attain this immanent end by means of the different movements to which they are submitted, but through this end they aim also at the eternity and the necessity characteristic of the unmoved substance. As result, we can say that they are also moved by the unmoved, and again by the desire for unmovedness. We see that this interpretation agrees with the end of Lambda 7, as well as with Lambda 10’s reflection on the final cause and the good” (p. 188, emphasis added).

“The remainder of [Lambda 7] goes on precisely to mark the relation between unmovedness and necessity, at the same time as that between motion (even local) and contingency. This last point is the same that Theta 8 already underlined, but the demonstration relies no longer on the notion of dunamis understood as the power of contradiction, and indeed as the power to be or not-be, but on the notion of energeia. Unmovedness is deduced from this, and necessity in its turn from unmovedness. Here indeed, and for the first time, the ontological sense of energeia… excludes kinesis” (ibid).

She notes that Aristotle uses the grammatically dative from of energeia in the text here, which she has argued he consistently uses to distinguish what she calls the ontological sense of dynamis and energeia from their physical sense that is involved in the ordinary explanation of motion.

(I would add that this philosophical primacy of the dative form over the nominative in Aristotle is closely related to a perspective that puts adverbial phrases and relations ahead of nouns and verbs in the order of explanation. In fact, every noun or verb taken by itself is just a simple linguistic token that still has to be given an interpretation. No mere linguistic token by itself explains anything at all. By contrast, it is the non-simple character of relations — the fact that they already intrinsically “say something” about something — that gives them their fundamental role in interpretation and explanation.)

“If it is thus established that the unmoved can be an end…, it remains to know how it is, or to identify its proper mode of action, which is presented as valid for all final causes that exclude motion. Two words suffice to name this mode of action: hos eromenon [as being loved]. The hos does not introduce a metaphor, … but must be understood in the sense of ‘insofar as’: the unmoved mover moves without being moved, but ‘insofar as it is loved’. In its turn, the theme of eros has been prepared by the earlier reflection on the identity of the intelligible and the desirable, where it was said already that they move [other things] without being moved” (ibid).

“For the technical register that distinguishes between different species of desire, rational and irrational, is here substituted a broader term, eromenon. This term also has Platonic resonances: it evokes the amorous ascension of the Symposium, and recalls the figure of Eros, the daimon child of Penia and Poros, in whom are conjoined lack and abundance, absence and presence. Evoking Eros, nonetheless, Plato in the Symposium speaks of dunamis. Here, inversely, the erotic ascension has for its principle energeia. We see again in this point the rupture underlined in book capital Alpha, as in Lambda 6: to conceive the causality proper to the good, it is necessary to think it as a final cause, acting not as power but as act, and as the end of in-potentiality” (p. 189).

Aubry has consistently maintained that acting in the sense of having an effect is not reducible to the “action” of a power. All ordinary “action” is in reality a mixed form — an interaction — that includes an element of passivity. Pure act on the other hand is supposed to have an effect and to move other things, but without itself being involved in passivity. There is still an element of passivity in this case, but it is entirely on the side of the other things that are moved by what they understand and desire. Pure act for Aristotle is situated beyond the correlation of activity and passivity. Only where in-potentiality is also involved is there the ordinary interaction of activity and passivity that we experience in earthly happenings.

Rather than aiming to think pure presence, in the context of a human being even Plato is far more interested in mixed forms, as Paul Ricoeur has pointed out. Aristotle here takes up the Platonic theme of eros, while recasting it as an ascent toward pure act. But pure act is precisely not ever purely present to us. In the next post, we’ll see how Aristotle contrasts human life with the ideal life he attributes to the first cause.

Next in this series: Ideal Life and Ours

Physics and Theology

Returning to Gwenaëlle Aubry’s landmark new reading of Aristotle’s Metaphysics, last time I covered her preliminary roadmap of book Lambda, in which Aristotle discusses the first cause and its relation to the world. Here I will focus on her discussion of chapter 1.

As is common in Aristotelian treatises, Lambda begins with a survey of the opinions Aristotle deems most important and relevant in this area — namely the “physical” approach of the Ionian philosophers of nature, and the “logical” one he attributes to the Platonists. Aristotle will borrow from both, and criticize both.

At the same time, Chapter 1 outlines a program of investigation that will be pursued over the course of the book. This consists of four questions:

1) How are cause (aitia), principle (arkhe), and element (stoikheion) distinguished, and how are they related?

2) Are there principles common to both eternal (astronomical) and corruptible (earthly) sensible substances?

3) How are we to understand the meaning of unmoved substance?

4) Are there principles common to unmoved substance and to eternal and corruptible sensible substances?

The Ionians and the Platonists agree, each in their own way, that it is principally of “substance” (ousia) that we investigate the principles and causes, though they interpret substance differently. Aristotle retrospectively interprets both the Ionians and the Platonists as reaching toward his own notion of substance and its role — i.e., as dwelling on questions about what things are, and about why things are the way they are.

It is the “things” in life that are of primary interest, because to a greater or lesser degree they all have persistence, and therefore also have recurring relevance in their own right. Mere transient events only have relevance to meaning and deeper truth insofar as they may be claimed to show something about recurringly relevant things.

Aubry points out that in book Lambda, it will not be a question of demonstrating the primacy of substance and of independent things over those other “things” that are attributed to them. Something like book Gamma’s argument for the methodological priority of inquiry into relatively independent things seems to be presupposed. Nor does Lambda ask what substance is, as book Zeta does. The specifically Aristotelian sense of substance’s defining criterion of “separateness” — embodied in the relative independence of some but not all of what we call “things” in the broadest sense — which was a major result of Zeta, is recalled in the opening lines of the chapter here, and is thus integrated into Lambda’s inquiry from the beginning. But Zeta’s investigations are also deepened here by a new connection with book Epsilon’s emphasis on causes and principles, so that we now also ask, what are the causes and principles of substance? Moreover, questions raised but unanswered at the end of Zeta about unmoved substance will eventually be addressed here.

Aristotle contrasts the Ionian view of the world of becoming as a certain (material) whole with that of the Platonists, who treat it as a pure succession of phenomenal instantiations of immaterial Forms. The Ionians recognize as principles only the elements of bodies, thus putting all intelligibility on the side of matter. The Platonists recognize only immaterial Forms as principles, and hold becoming as such to fundamentally lack intelligibility.

“Going forward, the opposition between holists and episodics does not outline the alternative according to which the arguments of Lambda will be deployed, but rather, conversely, that which it will be necessary to overcome” (Aubry, Dieu san la puissance, 2nd ed., ch. 5, p. 161, my translation throughout).

In a second contrast between the Ionians and the Platonists, the Platonists associate substance exclusively with what is logically universal (katholou; literally “according to the whole”), but the Ionians associate it exclusively with concrete individual things (kath ekasta; literally “according to each”). Aristotle will bridge this gap too, by posing the first cause as not itself a logical universal, but rather as a unique thing, to which all other things universally have a broadly similar constitutive relation.

Finally, Aubry refers to the passage, “And the former kind belongs to the study of nature (since they include motion), but this kind belongs to a different study, if [ei] there is no source [principle] common to them” (Metaphysics, Sachs tr., p. 231). Scholars have debated the significance of Aristotle’s ei here.

“The translation [of the ei] adopted here [and independently by Sachs] results in a hypothetical meaning, ‘if’, but another reading gives it a causal meaning, ‘since’. Such a divergence is far from being minor. The traditional causal reading of the ei in effect founds a scissionist interpretation of metaphysics, which will be divided between the science of sensible substances, or physics, and ‘another science’, having for its object the unique substance that is separate [in the Platonic sense of separation from matter], which going forward will be identified with theology…. As well as a scissionist reading of metaphysics, these lines invite a hybrid reading of Lambda according to which it is necessary to distinguish between a treatise on sensible substances, and a treatise on substance that is separate [again in the Platonic sense]. Such an interpretation amounts to abandoning any project for a general ontology — eventually only leaving place for a unification from above, that is to say by theology, applied to [the emphasis on causes and principles from] book Epsilon chapter 1″ (Aubry, p. 163).

She cites a survey of this issue by David Lefebvre, but does not directly identify sources for the traditional interpretation. Since the dispute is about a detail of the Greek text though, I would presume that these are traditionally minded modern scholars, and not medieval writers.

“On the other hand, the hypothetical reading of ei leaves open the possibility that there exists a common principle [of sensible and Platonically “separate” substance], and, going forward, also a common science of all the substances, sensible and separate. Nonetheless, this hypothetical reading admits in its turn of two distinct interpretations: one could understand that the common science of all the substances is to be identified with physics; or again that it is the alternative ‘physics’/’different science’ that is itself conditioned by the [presumed] eventual absence of common principles, but that under the hypothesis that such principles exist, this partition can be superseded, to the profit of a unique science of substances — a unique science that can be reduced neither to physics nor to theology” (p. 163-164).

The key point that should be emphasized is that Lambda aims to sketch the basis of a unified account of all substance.

I would go somewhat beyond the scope of Aubry’s argument here, to also question the traditional talk about “sciences” in this context. Aristotle himself simply speaks of knowledge (which we could gloss, following the broader of his usages, as an interpretive account grounded in reasoned explanation). This presupposes rather less than either the ideal of foundational demonstrative science bequeathed to later traditions by Alfarabi, or the whole elaborated apparatus of empirical science, with which “science” is identified in most modern contexts.

I also question the identification of Aristotle’s more specific “ousiology” or account of substance with “ontology”, or the alleged science of being. Properly speaking, we owe the latter to successive post-Aristotelian elaborations, principally by Avicenna, Duns Scotus, and Christian Wolff — however often these elaborations get retrospectively read back into the Aristotelian text. Aristotle does indeed refer without prejudice to the question whether knowledge of being “full stop” is possible, but his eventual answer is the more limited one that a general reasoned account of ousia is possible. I think it shows the original naive question about being to have been badly posed. That way of posing it leads to other nonsensical, non-Aristotelian questions that imply category mistakes, like “why is there being?”

Finally, I give more weight to the fact that the term “metaphysics” is never used by Aristotle, and was only first applied to the collection of treatises we know by that name by an editor, long after Aristotle’s death. I prefer Aristotle’s own term “first philosophy”.

But I do very strongly agree with Aubry that book Lambda is intended to develop what could reasonably be called a general ousiology, embracing both sensible and Platonically “separate” substance; and moreover, that this ousiology has a fundamentally axiological or value-oriented character.

Next in this series: Potentiality in the Stars

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

The Animal’s Leg Joint

In De Motu Animalium, Aristotle says there is an unmoved mover in the animal’s leg joint, and proceeds to a geometrical description of the axis of rotation of the joint. More famously, he says there are unmoved movers in the apparent motion of the fixed stars and planets, and there too associates them with geometrical axes of circular motions. What is going on here? This is a good illustration of several points.

First, Aristotle is perfectly happy to use mathematics in natural science. (He just correctly judged that early Greek arithmetic and geometry generally had little to contribute to the intelligibility of becoming, and wisely objected to the Pythagorean numerology that found a place in the Platonic Academy.)

Second, there is nothing mysterious about what he calls an unmoved mover. In the best-known cases, it refers to something that is in fact not only observable but mathematically describable. (This is not the only way a concept can have value, but that is not the point here.)

Third, he calls the unmoved mover a “mover” in the sense that it is the descriptive law or form of the physical motion in question, not a driving impulse or force. In a similar move, Leibniz famously said God is the law of the series.