Contingency

While researching Duns Scotus for the recent series, I ran across an article claiming that Scotus provides an underpinning for what it called the modern view of contingency. Once again, Aristotle’s concern for things said in many ways is extremely relevant for making sense of this.

Ordinarily, contingency is only involved when one thing depends on another. When one thing depends on another, we say that it is conditional. That which is conditional is not in itself necessary. It is also called possible. But possibility itself is ambiguous. Many things that are logically possible are not practically or “really” possible.

Logical possibility includes anything that is not self-contradictory or “incompossible”, as Leibniz would say. This kind of possibility is a fundamental concept of modal logic, where analysis in terms of possible worlds has become dominant since the 1960s, due to the influence of the analytic philosopher Saul Kripke. The term “possible worlds” is inspired by Leibniz, who argued that creation should be rigorously understood as applying only to a whole “compossible” world.

The requirement of compossibility or realizable combination treats every possible world as a rational whole, in which things have real dependencies on other things. Even God will never actually do things that are not “possible together”.

This is not compatible with extremist claims that eternal or even logically necessary truths could be arbitrarily revoked at any time, or that there simply are no eternal or necessary truths.

It is easy to draw illegitimate, sophistical conclusions about what seem to be eternal or necessary truths. That does not mean that there are none, only that the way to clarity in these matters is difficult. But advocates of what are really extremist views take advantage of this, to draw illegitimate, sophistical conclusions of their own. What makes this easy is that it “only” requires ignoring aspects of the relevant context.

The classic early modern “metaphysical” view treats individual things in a kind of artificial isolation that never occurs in the real world. Needless to say, this kind of anticontextual metaphysics has nothing to do with Aristotle. Such a view has been attributed to Leibniz, based on a shallow interpretation of the Leibnizian monads. This fails to take into account either his general emphasis on whole worlds, or his explicit claim that the internal detail of each monad reprises the entire universe from a certain point of view. But it does seem that something like this was characteristic of the Wolffian school, which was the main concrete target of Kant’s criticism.

The contingency that that article on Scotus was celebrating was a form of radical “contingency” like that advocated by al-Ghazali, Ockham, and Sartre, among others. This occasionalism is the extremist view that nothing in or about the world is intrinsically firm or solid or substantial.

The essential point to understand about this is that radical contingency abolishes ordinary contingency.

Ordinary contingency is relational. We say that A is contingent on B. One thing (or action or status) either constrains another thing, or removes a constraint on another (in the sense that we speak of removing contingencies on a loan). Contingency in the ordinary sense by definition implies 1) some relevant context, and 2) some relevant constraint(s) that may or may not apply in that context.

One thing could never remove a constraint on another if there were really no such thing as constraint in the world. Similarly, a too-open view of possibility — one that posits an absolute freedom or absolute power — eliminates all meaningful modal analysis of possibility, because it eliminates any contrasting element of impossibility. To make no distinction — for example to claim that absolutely anything is possible — is effectively to say nothing. Claims of radical contingency eliminate the basis for ever saying “A is contingent on B“.

A defender of radical contingency might claim that there is something all A are contingent on — a will. But this is circular, because claims about the existence of a will over and above meaningful choice between alternatives are only introduced in order to putatively justify claims of radical contingency.

Potentiality in the Stars

“Lambda 2 marks the irruption in Metaphysics Lambda of the notions of dunamis and energeia, at the same time as the passage from doxographic examination to the thetic moment” (Aubry, Dieu san la puissance, 2nd ed., ch. 5, p. 165, my translation throughout). Aristotle’s distinctive concepts of potentiality and act had been absent from chapter 1’s preliminary survey of the opinions of others, but as soon as he begins to elaborate his own proper theses, they reappear.

“Lambda 2 proceeds also to a substitution: that of the couple dunamei/energeia for the triplicity of matter and the contraries. It is necessary to note — and this is an essential point — that here in what is their first occurrence in Lambda, these notions intervene straightaway under their dative form, and as a division of being: ‘For, since being is double, everything changes from being in-potentiality to being in-act’…. the dative form marking the ontological sense more specifically” (ibid).

Aristotle is not abolishing matter in the modern sense. Replacing stuff with a modality like potentiality would seem rather odd, but that is not what is occurring here. Hylomorphism means that any kind of “stuff” must already be body — and thus for Aristotle must be a “composite” of form and matter. He never treats form and matter as discrete parts of a thing, and repeatedly insists that they can only be separated by abstraction. Aristotelian matter in itself has always struck me as principally specifying a kind of primordial adverbiality and relationality involved in any embodiment.

Here he is moving yet further away from the “grammatical prejudice” of an underlying thing in which properties inhere. The whole dialectical development of the concept of “substance” (ousia) in the Zeta-Eta-Theta sequence and book Lambda precisely involves moving beyond the notion of something “underlying” that we naturally begin with in thinking about how things persist through time. Here we see a related movement beyond the abstraction that Aristotle calls matter, which was the initial candidate for something underlying.

“Lambda 2 takes metabole [change] as its primary object. It proposes an analysis appropriate to all kinds of change, and in particular both substantial change and change of position…. More precisely, it is a matter of identifying the principles common to all sensible and movable substances, whether they are eternal [astronomical] or corruptible [earthly]. For it is the intervention of the notion of dunamei and its substitution for that of matter, that makes possible this unification of the principles of sensible substance” (ibid).

“The text finds a precise parallel in book I of the Physics, where the same three formulae succeed one another: the contraries and their subject; matter, form, and privation; and finally, the formula according to power and act, kata ten dunamin kai ten energeian. Nonetheless, in Physics I the last is mentioned as having been treated elsewhere with more precision. Still it reappears at the end of that book, in the context of a critique of the Platonic theory of matter: Plato erroneously identifies matter with non-being, with evil and privation…. That which desires the positive contrary must be matter, as distinct from one and the other contrary. Matter must therefore be distinguished from privation: the latter is in itself the principle of corruption. On the other hand, if we consider it according to power, kata ten dunamin, matter is unengendered and incorruptible” (pp. 165-166).

“The last lines of book I of the Physics considerably clarify chapter 2, but also 3, of Lambda, in that they designate two distinct modes of approach to the material and formal principles: the perishable forms are in effect called ‘physical’, and the study of the others is deferred to first philosophy. But this distinction applies also to matter: in fact, we distinguish equally between corruptible matter and incorruptible matter. For unengendered and incorruptible matter is identified with matter considered kata dunamin, or according to a point of view that, without having been explicitly named, has nonetheless been distinguished from the physical point of view” (p. 166).

Modern physics and chemistry speak of an ultimate conservation of matter.

“The fact is that over the course of Lambda 2, the couple of in-potentiality and act is substituted for the triad of matter and the contraries. Thus change is no longer presented as the transition of matter from one contrary to another, but as a passage ‘from being in-potentiality to being in-act’. For to treat it thus is to underline, as the end of Physics I already has against Plato, that even in the case of generation, metabole does not have for its principle absolute non-being, but being in-potentiality. And it is also to underline, this time against [the Ionian philosophers of nature], that in-potentiality in its turn is for a determinate being” (pp. 166-167).

“But beyond these polemical stakes, the substitution of the couple of in-potentiality and act for the triad of matter and the contraries makes possible a formula of change that is valid for all the movable substances, whether they are corruptible or incorruptible” (p. 167).

“Thus conceived, kata dunamin or again dunamei, matter appears no longer as a physical component but as a metaphysical principle, valid as much for the corruptible sensibles as for the eternal sensibles” (ibid).

A component suggests something mutually exclusive with other components, while a principle affects the whole of something. Potentiality is neither a component nor an underlying thing.

This “marks a progress from Theta 8: in fact, there energeia is found attributed to the eternal sensibles, but dissociated from dunamis, since the latter was understood as the power of contradiction, and treated as definitional of the corruptible sensibles. Now we discover that it is not only act, but also in-potentiality that… admits an extension from the corruptible sensibles to the eternal sensibles” (ibid).

The “power of contradiction” would be a power to be or not to be something. Unlike earthly things, Aristotle sees the stars as moving in an unchanging way, and as not changing in their being in doing so. Since they are involved in motion from place to place, I was previously surprised by Aristotle’s remark in Theta 8 that seemed to say that eternal sensibles have no potentiality. Now we see that after all they do have potentiality, in the way that he has redefined it here.

Next in this series: Separate Form?

Book Lambda: Introduction

“Book Lambda of the Metaphysics responds to the exigencies defined in book capital Alpha: to pose the good as a principle; and to determine its proper mode of causality as being that of a final cause, and not an efficient or formal cause. These two exigencies are resolved in a single proposition: the principle is act, and is without power. Act here receives its full signification: it is act and not form that is the mode of being of separate substance; but act also serves to name the good as a principle” (Gwenaëlle Aubry, Dieu san la puissance, 2nd ed., ch. 5, p. 153, my translation throughout).

We saw last time that pure act (energeia) for Aristotle — unlike any being in subcelestial nature — has the character of unmixed necessity. This is true because pure act is the only thing that fully is what it is. It is the admixture of power (dynamis) and in-potentiality (dynamei) in other things that is the source of their contingency, as not being pure act.

“If the concepts of dunamis and energeia simultaneously unify ousiology and integrate theology into it, they also bear all the singularity of the Aristotelian thought of being, and within it of the first being, insofar as the latter is conceived not as an excess of power, but as the reality of the good” (p. 154).

Ousiology would be an account of ousia, or what we call “substance” from the Latin. Again, the first cause is not first in the sense of time, but first in the sense that all other things depend on it. The whole point of calling it pure act is to separate it from the contingency of the dependent things that have power and potentiality.

The very idea of an “excess of power” is utterly alien to Aristotle. We saw before that he understands power as always being power for something definite. Only those things that also have a dependency on something outside of themselves have this kind of “power” at all, corresponding to an unrealized in-potentiality. This “power” and potentiality are the mark of their contingency, not of implacable might.

It is Plato and Plotinus who on the other hand associate superlative power with the Good or the One. But Aristotle criticizes Plato for failing to explain how the Good acts as a cause. Then Plotinus later attempts to answer Aristotle’s criticism by adapting and dwelling upon the novel theme of the excessive character of the One’s power that first emerges in the Judeo-Christian tradition.

“To read book Lambda in a unitary manner, and to find this unity in ontology, that is to say in the sense of being that dunamis and energeia express, is not at all to deny or to minimize its theological content. It is on the contrary to affirm the unity of metaphysics, against the onto-theological readings that scission it between a science of common being and a science of the first being. It is also to recognize a continuity among the different treatises that have come down to us under the name of the Metaphysics” (p. 156).

“The date of composition of book Lambda is debated by commentators. But it is necessary in any case to distinguish between the historical question of its editorial status and that of its conceptual relation to the other books of the Metaphysics, with regard to the problems to which responds to, displaces, or resolves, the analyses that it deepens” (ibid).

“The problems treated in the central books [Zeta–Eta–Theta], and most especially in book Theta, seem to us to be decisive. In Lambda, the elucidation of [1] the ontological sense of dunamis and energeia that orients Theta in its entirety; [2] the analogical relation between them in Theta 6; and [3] the anteriority of act over in-potentiality subsequently developed in Theta 8, furnish the conceptual basis as much for the analogical unification of the principles of substance, as for the principal position of ousia energeia” (ibid).

“Massively mobilized in Lambda 6 and 7, [the notions of dunamis and energeia] are absent from the introductory chapter that constitutes Lambda 1, as from the analyses of Lambda 3, and little present in Lambda 8 and 10. Nonetheless, the successive and modulated interventions of dunamis–energeia (or — and it is necessary for us to ask ourselves about this variation, of their dative form dunamei–energeia) over the course of Lambda serve each time to respond to the different questions raised in Lambda 1, which serve as the program for the book in its entirety: what is a principle (notably in its difference from an element, stoicheion, or a cause, aitia)? What are the principles common to sensible substances? What is the nature of separate substance (is it a form or not)? Finally, and these two questions are intrinsically linked, in what way is separate substance a cause, and are there principles common to all substances, sensible or separate?” (p. 157).

Here Aubry notes that while still maintaining his own preferred sense of “separate” ousia (separate as subsisting with relative independence with respect to other things) as distinct from that of Plato (separate as independent of matter subject to becoming), Aristotle nonetheless in this part of the text turns to ask questions about substance that is separate in both of these senses.

“Going forward, we will be able to extract a unitary principle for all substances, sensible or separate, that is not reducible to the unity of the material composite; and at the same time to maintain, under the auspices of this unity, a hierarchy that is not episodic or disjunctive” (p. 158).

What makes the hierarchy of substance not episodic or disjunctive in Aristotle is the explanation he provides for the mode of causality of the end and the good as that for the sake of which.

“Lambda 2 will thus substitute the notion of in-potentiality for that of matter, in order to extend it, beyond the corruptible sensible substances, to the eternal sensible substances. This positive result is followed in Lambda 3 by a negative, but decisive, result, since we will establish, against Plato, that form cannot be separate. In Lambda 4, it is this time against its reduction to an element [i.e., a constituent in the material sense] by those who wrote about nature, that the notion of principle will be redefined” (ibid).

For Aristotle, a principle of something is never reducible to a constituent part of it, and what any given thing “is” is always more than a mere sum of its parts.

“The veritable pivot of book Lambda, chapter 5 goes on to integrate these various results, negative as well as positive: the extension of dunamis to the eternal sensibles; the exclusion of form from consideration as the mode of the being of the separate; the distinction between principle and element; and going forward, [chapter 5] brings two fundamental responses to the questions posed in the introductory chapter: separate substance must be conceived as act and not as form; and dunamis and energeia are, by analogy, the principles common to all sensible substances” (ibid).

“On this basis, the central concern of chapters 6-10 will consist in determining and exploring the mode(s) of relation between separate substance and the other substances. Lambda 6 having demonstrated that separate substance as ousia energeia is the condition of the movement of the other substances, it remains to identify its mode of causality as being that of the end (Lambda 7) and of the good (Lambda 9), but also the way in which this causality operates in the case of the eternal sensibles (Lambda 8), and, finally, the whole universe (Lambda 10)” (ibid).

The whole universe coheres intelligibly, both insofar as it realizes the good, and insofar there are also explanations when things fall short or go wrong. The world we live in is not a mere whole made up of discrete parts, as the pre-Socratic writers on nature tended to assume. Neither is it the mere sequence of disconnected episodes that follows from the Platonic sole emphasis on what Aristotle calls formal causes.

Next in this series: Physics and Theology

Book Theta: Summing Up

We’ve reached the end of Gwenaëlle Aubry’s chapter on book Theta of Aristotle’s Metaphysics. At this point, with the textual analysis complete, she pauses to reflect on what this all means. I for one have been extremely impressed with the quality of her argument, upon this rather close examination in which we have been embarked. Here her conclusions seem to follow with ease. I’ll keep my comments to a minimum here, and mostly let her speak for herself.

“The movement of book Theta, such as we have attempted to trace, appears to us… as having for its object to subtract dunamis from the logic of force” (Dieu san la puissance, 2nd ed., ch. 4, pp. 145-146, my translation throughout).

“Theta 8 also justifies the etymology of the very terms, of Aristotelian invention, energeia and entelekheia, in posing the identity between act, ergon (function or work), and end…. Act says something more than ousia: not only subsistence, but being-in-the-end…. Thenceforth, dunamis and energeia are not only opposed as that which can be to that which is fully, or as the potential to the actual. They are articulated as oriented movement — tendency — toward its end” (p. 146).

“Act, for this reason, no longer appears only as another name for the composed ousia, but for ousia as such, and power, univocally characterized as the power of contraries, is designated as the principle of a fundamental contingency” (ibid).

“The notion of act is charged with an axiological significance [one having to do with value], the same that it already had in the Protrepicus where it made its appearance. If the identity of act and good is not explicitly posed in Theta (as it will be on the other hand in book Lambda), it is nonetheless presupposed by the identification between act, end, and ergon” (ibid).

“If the birthplace of the notion of energeia is ethics, and if this notion thereafter passes to ontology, it is indeed for founding an axiological ontology which in its content pronounces the identity of being, the end, and in the same way the good” (ibid).

“Going forward, what is proper to the ontology of dunamis and energeia seems to us to reside in that it allows being to be thought otherwise than as power and otherwise than as presence. Being, in the way that dunamis and energeia express it, is not only that which is there, not only that which acts [agit]” (p. 147).

(In the front matter to her second volume, Aubry says clearly, “Act is not action. Act does not act [L’acte n’agit pas].”)

“Dunamis, we have said, is reducible neither to active power nor to passive power, but must be thought as the possibility of a movement toward act. As for act, it expresses not only presence, but being-in-the end and the good as realized or (when it excludes in-potentiality) as real: substance having realized its essence as good, or essentially good substance. Act thus appears as the ontological name of the good. It expresses the unity of being and value, the conjunction of the ideal and the real. Every act is a perfection, however ephemeral it may be — a place of absoluteness, an inalienable achievement. That is in act which, however weak it may be, was successful — that in which an Idea is here and now, even for a brief instant, incarnated. The Aristotelian good, we recall, is not an abstract universal, a Form without substantiality, or an empty ideal: it is, for each being, a possibility that is proper to it, and that can be effectuated. An axiological ontology, the ontology of act appears also as an ontology of non-scission” (ibid).

She notes that Pierre Aubenque, with whom she studied, wrote about both scission (a cut) and mediation in Aristotle in this context, but tended to emphasize the scission. She also sees both as important, but prefers to emphasize the mediation.

“In a sense, our reading only modifies this accentuation. But at the same time, far from seeing in the thought of Aristotle a metaphysics of inachievement and a wisdom of limits, we see an ontology of perfection, which also carries with it an ethics of surpassing: what is important is not that being is not immediately perfect, the human not necessarily divine, but that by way of the notion of in-potentiality, they are posed as capable of being so, by way of the notion of act as having being, even fugitively” (p. 147n).

“Aristotle nonetheless thinks the difference of being and the good at the same time as their identity. It is in-potentiality that serves to name this difference, this division. If it does not have being absolutely, neither is being in-potentiality an absolute non-being. It is at the same time in the mode of not yet and of always already: being in-potentiality is to be awaiting what we will be. But it is also, since in-potentiality is for a determinate act and becoming, to carry its becoming and its end in itself: being in-potentiality is being able to become what one is. If in-potentiality expresses the division between a being and what it has to be (its act, indeed, in which reside also its end and its good), it also expresses the possibility of annulling that division. In-potentiality at the same time poses distance and its crossing: if it expresses difference, it is as a provisionally differentiated identity. Indeed no more than the good is an empty ideal (or a Form-Idea) is in-potentiality an indefinite desire doomed to unfulfillment” (p. 147).

“In this way, Aristotle avoids the misfortune of scission. But he nonetheless does not fall into the naivete of immediacy. With dunamis is introduced the mediation of time, of movement, and even, with dunamis meta logou in the human, of liberty” (p. 148).

Here she gives the Greek for what is traditionally translated as rational power. More literally, this is “power after logos“, which more clearly captures the dependency of such power on the logos associated with deliberation.

“This division introduces the possibility of encounter, of error, of accident. An ontology of non-scission, the ontology of in-potentiality and in-act also leaves a place for the thought of failure or messing things up. If act poses the good and the end as real, and in-potentiality as to be realized, the passage from in-potentiality to act is never assured. The potential cannot be called a future actual, and the actualization of in-potentiality is never necessary, since it can be suspended by deliberated choice, or interrupted by accident” (ibid).

“Finally, the distance between act and in-potentiality leaves a place not only for difference, but for alterity [otherness]” (ibid).

She goes on to give some conclusions about causality.

“[E]fficiency is not suppressed…, but subsumed under finality: alterity is required as a moment of this progress toward self” (ibid).

“Efficiency nonetheless is only a means for finality, and transitive causality is only a means for immanent development. For the articulation of dunamis and energeia has something else remarkable in that it allows the efficacy of the end and the good to be thought. We have seen that in-potentiality is not thought in the order of force. It is nonetheless the source of a movement, or of a change, which has for principle the form as end, or act. For the end does not act, at least in the sense that it is not an efficient cause…; if it is, it is only metaphorically, kata metaphoran. The end indeed is efficacious without being efficient. If it acts, or has an effect, it is not as an efficient cause, in implementing an active power, it is a cause as act and end of in-potentiality. We could say, going forward, that if act names the mode of being of the good and the end, in-potentiality names its mode of action” (pp. 148-149, emphasis in original).

“The correlation of in-potentiality and act also allows the specificity of final causality as causality that is effective but not efficient to be thought” (p. 149).

This, she recalls, was one of the projects laid out in book Alpha, where Aristotle insisted on his originality with respect to the causes.

“For to identify this causality implies precisely to think the good neither as power and efficient cause, in the manner of Love or Intellect [as Empedocles and Anaxagoras respectively held], nor as in-potentiality, in the manner of the separate Forms. Plato in the Republic attributed dunamis to the Good: but if we want to think the power of the good, it is necessary to think it not as dunamis, but as energeia, and as the end of in-potentiality” (ibid).

“It is indeed in the articulation of dunamis to energeia that the secret of the power of the Good resides, that ‘daimonic force that makes it so that things are disposed in view of the better and the more perfect’, and to which Socrates in the Phaido relates his quest” (ibid).

“Going forward we understand that book Alpha of the Metaphysics, which we can read in part as an echo of this text from the Phaido, encompasses Socrates and Anaxagoras in the same critique: to succeed where they both failed, it is necessary to understand that the power of the good is daimonic or divine precisely in that it is not a power” (ibid).

Here of course she uses “power” in two different senses.

Then, as I have also emphasized, hypothetical necessity is central to Aristotle’s notion of explanation. Here we have Aristotle’s answer to questions about freedom and determinism.

“Hypothetical necessity governs both the facts of nature and those of choice. It is indeed as compatible with contingency as it is with the frequency or modality of natural phenomena such that their regularity can be interrupted by accident” (p. 150). She cites book II of the Physics.

“[Hypothetical necessity] nonetheless does not hold good as a simple heuristic concept, or a simple ‘as if’, but indeed as a constitutive principle, since in-potentiality inscribes in the very heart of beings, natural as well as artificial, the efficacity of the end and the reality of act” (p. 151).

Next I’ll take a look at her chapter on book Lambda.

Next in this series: Book Lambda: Introduction

Act as Separable

“At this point in Theta 8, we have completed, by the mediation of the terms telos [end] and ergon [completed work], the justification of the equivalence between the superior terms of the analogy, energeia [act], kinesis [motion], and ousia [“substance”], just as we have justified that between the inferior terms, dunamis [power] and hyle [matter]. But in so doing, we have also subsumed one analogical relation under the other, by showing in the correlation dunamis–kinesis a particular case of the correlation hyle–ousia: power serves as a means for matter to attain the form posed as end, and indeed as a means for the coming to be of substance as unity of matter and form, movement itself being able to serve, in the case of transitive activities, as end and as realization of essence. We have thus completed the transition from the kinetic sense to the ontological sense of dunamis and energeia, and at the same time established the priority of the ontological sense over the kinetic sense.”

“The end of Theta 8 nonetheless begins another process: this no longer aims at showing the ontological sense of dunamis and energeia, but at extending their field of application beyond the corruptible sensible substances” (Aubry, Dieu san la puissance, 2nd ed., ch. 4, p. 141, my translation throughout, Becker number citations to the Greek text omitted).

Aristotle regards the stars as eternal (or more precisely, sempiternal) sensible beings, because on a human time scale their motions and other characteristics appear to be unchanging. From this perspective, he understands not only the first cause but all astronomical entities in terms of pure act (energeia), without any admixture of power (dynamis), or of being that is only in-potentiality (dynamei). But these are still sensible beings subject to motion, so they occupy an intermediate place between terrestrial things and the first cause.

This association with eternity and pure act goes along with his view that unlike terrestrial things, the stars move by necessity. Again, for Aristotle this just means always in the same way. Here he does speak of “what cannot not be”, but I think this is only a consequence of his definition of necessity. It is a reflection of the logical truth that if we say something always occurs in a certain way, then we are committed to saying it cannot not occur in that way, simply because “always” implies “never not” — and not anything stronger than that.

Aristotle’s argument, which ultimately aims to draw conclusions about the first cause from an analysis of things closer to us, is made somewhat easier by the existence of this intermediate case of eternal sensible substances in his conceptual schema. But it does not seem to me that any of his arguments about pure act really depends on this common-sense assumption that the stars are eternal.

Even if we have a different conception of astronomical entities, according to which they just exist on a much longer time scale than terrestrial things, the conceptual distinction of a separable pure act remains available to us. (Hegel, for example, develops a version of it that has no connection to astronomy, and instead appeals only to the lasting ethical and cultural achievements of rational beings.) (See also Grammatical Prejudice?.)

“Act can in effect only be attributed to the eternal sensible substances on the condition of being dissociated from dunamis, redefined as the power of contradiction (in the same way, it will only be able to be extended in book Lambda to the simple substance on the condition of the exclusion of movement). But insofar as Theta 6 introduced it as indissociable from its correlation with in-potentiality, it is the very understanding of the notion of act that seems to be called into question: how do we understand energeia without in-potentiality? What kind of act is it that is no longer the unity of matter and form in the end? Can we under these conditions maintain its identity to ousia?”

“These questions will only find a definitive response in book Lambda. Theta 8 is content to begin the process of the extension of energeia: the notion is in effect applied to the eternal sensible substances. For this application allows us to extract yet another sense, and a more fundamental one, of the anteriority of act according to ousia: if act is anterior to in-potentiality according to ousia, this is also because, contrary to in-potentiality, it characterizes such substances. For these are more so substances than the perishable sensible substances” (ibid).

In the analysis of things around us that are in becoming, we see the underlying modalities of in-potentiality and in-act functioning in an interdependent way. But if we look at in-potentiality and in-act just as modalities, only one depends on the other. That is just what the priority of act is intended to convey.

Aubry sees a new distinction introduced here for the first time. Aristotle first explicitly mentions that dynamis may have effects that are not only contrary but contradictory, and at the same time specifies in-potentiality is a mode of being that can be resolved to act in contradictory alternative ways. But it seems to me that this has been implicit from the moment that talk about potentiality for contraries was introduced. And in the bigger picture, Aristotle’s whole insistence on the priority of act over potentiality and the asymmetry in the relation between them seems to have been designed from the start to support considerations of the independence of act from potentiality.

There could be no potentiality without something being in act. But it is very clear that for Aristotle, the relation of potentiality to act is asymmetrical. By contrast, activity and passivity are completely symmetrical, so it is impossible to have the one without the other. But potentiality depends on act, whereas act seems to be the very thing that makes something an ousia malista, or what is most of all a substance. The criterion for this is precisely “separability” or independence relative to other things. Potentiality seems ubiquitous to us because it is a necessary component of all the terrestrial things we are accustomed to, not because act in principle has any dependency on it. Or such seems to be Aristotle’s argument.

Aubry already emphasized in her reading of book Zeta that for Aristotle, what distinguishes ousia malista is its separability, or ability to have being on its own. But Zeta’s discussion focuses on perishable sensible substances, and therefore on applying this kind of separability to concrete composites of form and the familiar kind of (non-celestial) matter. Here for the first time Aristotle explicitly addresses eternal sensible substances.

“The correlation of in-potentiality and act is here broken: act is no longer presented as the end and the principle of dunamis, but as excluding it. Energeia and dunamis name opposed modes of being, where one is proper to the necessary, as that which cannot not be, the other to the contingent, as that which can be or not be. Dissociated from dunamis, energeia remains on the other hand associated with kinesis [motion]: in effect, the eternal sensible substances are in movement. But movement in their case is not the transition from one state of being to another, or from in-potentiality to act: exclusive of in-potentiality, it is confounded with their very act — by which we indeed verify that for certain beings kinesis can serve as telos [end] and as manifestation of being. Finally, dissociated from in-potentiality, this movement remains no less associated with matter, or at least a certain kind of matter” (pp. 142-143).

“[E]ven though the correlation of in-potentiality to act has been broken among the eternal sensible substances, it operates again between these and the corruptible sensible substances” (pp. 143-144).

“[A]ct can be not only another name for the ousia composed of matter and form (or for matter as realized in a form, the form in a matter), but for ousia as such. Act thus comes to name a superior degree of being, which, insofar as it is exempt from in-potentiality, is characterized by necessity, understood as the impossibility of not being” (p. 144).

“In-potentiality, as being able to be or not be, names an inferior degree of being, which characterizes contingency, but remains no less correlated to act in a relation of dependency that also marks act’s anteriority according to ousia” (ibid).

Aristotle’s text does clearly suggest that astronomical entities are somehow superior to terrestrial things, and it relates this superiority to the notion that they are purely in-act. But a modern understanding of astronomical entities expressed in Aristotelian terms would be that contrary to what Aristotle thought, they are not in fact purely in-act.

There is, however, an alternate basis for vindicating the “superiority” of the celestial over the terrestrial. The cosmos is inconceivably more vast than the earth, and for modern science too causally subsumes and includes it, analogous to the way that Aristotle thought it did.

Since childhood I have felt a fascination for the vastness of space and time, that could include distant galaxies and dinosaurs. Completely unlike Pascal’s famous terror at being so small in this vastness, I experienced this with only the profound wonder that Aristotle identifies as the beginning of philosophy.

Even if we do not regard astronomical entities as eternal sensible substances, I think Aristotle for his part would have no trouble endorsing Kant’s expression of the two great wonders, “the starry heavens above and the moral law within”.

Next in this series: Book Theta: Summing Up

Potentiality and Contingency

“[T]he rational powers are powers for two contrary effects: but two contraries cannot be actualized at the same moment by the same power. What is thus necessary (ananke) — but this time by a logical necessity, dictated by the principle of non-contradiction — is that there intervenes, in addition to dunamis, another principle: desire or deliberated choice, orexis or prohairesis, which chooses between the two contraries.”

“We can thus reformulate the definition so that it serves for the dunaton kata logon: it is necessary (ananke) when that which is capable according to reason [what was called a rational power] desires something for which it has the power, that it does that thing. The necessary sequence begins this time from the power insofar as it is modified by desire and/or by choice — and thus by liberty. It remains that, here again, the attribution of such a power implies the taking into account of the circumstances of its effectuation. According to this new determination, that is possible which is decided or desired by the agent, and which the circumstances allow (which its deliberation must take into account)” (Aubry, Dieu san la puissance, 2nd ed., ch. 4, pp. 127-128, my translation throughout).

Aristotle doesn’t literally offer a new definition of possibility at this point, but the effect is similar. In Sachs’ translation, he says that one having a rational power too “has the potency in the sense that it is a potency for acting, and this is not in every situation but when things are in certain conditions…. [E]ven if one wishes and desires… to do contrary things, one will not do them, for… there is no potency for doing them at the same time, since a thing will do the things it is capable of in the way that it is capable of them” (Metaphysics, book Theta ch. 5, p. 173).

All power or potency for Aristotle is the power to do something definite, and every power to do something definite is capable of doing it only under certain conditions. Consequently, there could be no such thing as an indefinite or unlimited power.

The emphasis on contraries in the case of rational powers is a little confusing, but it seems to be a further consequence of the notion that all power is definite. He seems to consider deliberation about the use of definite powers as revolving around the question whether to use them or not, which does thus acquire a kind of binary flavor. But it seems to me that a being having multiple powers might also deliberate about which of several to apply in a given situation.

What is really essential here is that rational power belongs to beings that deliberate. This is what makes it “rational”. And Aristotle sees a kind of “rational” (rather than physical) necessity that a being that desires or chooses something and has the power for it, will do it. But because it incorporates deliberation and choice among its conditions, this kind of necessity is not that of determinism. It is a hypothetical necessity that is compatible with contingency.

Returning to Aubry’s argument, “Proairesis [choice based on deliberation] thus intervenes as a principle of contingency, capable of inaugurating a necessary causal sequence. If the circumstantial definition of the possible leaves no place for logical possibility but tends to identify possible and potential, on the other hand the distinction between potential and actual is maintained.”

“But to this it is necessary to add — and this is what Theta 8 will do — that power considered in itself, and not in relation to its effect, is a principle of contingency. Every power, taken not as principle of action but in opposition to act, considered thus in its ontological determination and not only a kinetic one, is the place of an essential indetermination” (p. 129).

So by a sort of dialectical twist, Aubry momentarily attributes a kind of determinism to Aristotle, and then refutes it two pages later. On pedagogical grounds, I don’t favor the deliberate construction of unnecessary dialectical surprises, just as I don’t stylistically favor the kind of construction that first seemingly makes an unqualified statement, then adds qualifications later on. If a statement will later be qualified, it is good to give some indication of that up front. But in context this a minor point, and partly a personal preference of mine that Aristotle doesn’t follow either. The thing to emphasize here is that Aristotle simultaneously argues for an essential contingency in all power that is incompatible with determinism, and at the same time for the role of a hypothetical, delimited necessity that is compatible with contingency.

“It is on this essential contingency of power that the antideterminist argument of On Interpretation rests. Aristotle there distinguishes not only, like in Theta 4, the impossible from the false, but the possible from the true: of certain possible propositions, one cannot say in advance whether they will be true or false…. The possible is thus distinguished at once from the actual, the necessary, and the true” (ibid).

She summarizes Aristotle’s famous discussion in On Interpretation of the sea battle that may or may not happen tomorrow. At the most obvious level, this has to do with human deliberation and choice.

“But again Aristotle gives this another extension: if the future depends on decision and on human action, it is also true, and this time in a general (holos) manner, that ‘in all that which does not act always, there is a possibility of being and of not being. This indetermination in virtue of which the future must be called contingent, and the propositions concerning it neither true nor false, also affects events involving irrational powers” (p. 130).

Here we come full circle, to Aristotle’s rejection of strict determinism in the action of natural powers as well rational ones.

Next in this series: The Relativity of Dynamis

Potentiality and Possibility

“At the conclusion of Theta 3, we had recognized in dunamis at the same time the condition of becoming and a mode of being, and in energeia the mode of being that is opposed to it and which characterizes, beyond movement, all that which is effective. In defining what is in-potentiality as that which is not in-act, we have also distinguished it from non-being, in characterizing it as that which can be in act. Now we need to pursue the examination of what is in play in this division, or the modality of the relation of the in-potentiality to act” (Aubry, Dieu san la puissance, 2nd ed., ch. 4, p. 124, my translation throughout, with Becker number citations to Aristotle’s Greek text elided).

“The discussion of Theta 4 concerns neither dunamis nor what is dunamei, but rather the dunaton. This term nonetheless can designate both the possible and that which has power, or the capable, just as much as adunaton can designate the impossible as well as that which lacks power. In Theta 3, the dunaton had been defined in terms of dunamis as ‘that for which nothing makes it impossible for the act (energeia) to exist, when it is said to have power (dynamis)'” (ibid).

Clearly, dynamis, dynamei, and dynaton all have related etymologies. My Greek isn’t strong enough to just casually read Aristotle’s original the way I can mostly read Aubry’s French without a dictionary, so this is a bit of an eye-opener. This is why Aristotle’s discussions of what we render by English words that have different etymologies are so closely related.

Because the English words do not have this visible relation to one another, it is easy to be confused by the ways in which Aristotle relates the corresponding Greek terms. For years, I have been puzzled by English translators’ seemingly random alternations between respective uses of power, potentiality, and possibility for what was supposed to be the “same” concept in Aristotle. Aubry’s highlighting of the Greek words tells me I should have long ago studied this more carefully with the side-by-side Greek and English texts in the Loeb edition. The translators’ alternations are probably not random at all, just not commented upon. We are not dealing here with things confusingly said of one same concept, but rather with things more clearly said about each of several related concepts. This is just the kind of disambiguation that Aristotle himself pioneered.

“Book Delta defines [the possible] differently, as that of which the contrary is not necessarily false; that which is true; that which can be true. Thus characterized without relation to dunamis, dunaton no longer means having power, but possible. Delta opposes it to the impossible, adunaton, defined as ‘that of which the contrary is necessarily true’ (for example, the commensurability of the diagonal of a square with its sides), and distinguishes the possible and the impossible thus defined, from power (dunamis) and the lack of power (adunamia)” (ibid).

“Nevertheless, the definitions of Delta again carry an equivocity: in its second sense (that which is true), the possible includes the necessary, or what cannot not be: according to the first and third definition, on the other hand, it is identified with the contingent (to endekhomenon). It is this last sense that is mentioned in Prior Analytics book I: ‘that which is not necessary, and of which one can think that it exists without that leading to any impossibility'” (pp. 124-125).

“The possible is indeed defined sometimes as including, sometimes as excluding the necessary. In its first sense, it can be identified with logical possibility: that is called possible which is not contradictory; the necessary — that which cannot not be the case — can thus be called possible, in the sense that it is true (noncontradictory) to say that it is the case. But the possible can also be identified with the contingent: it thus no longer [indifferently] designates that which cannot not be, or again that which can be this or that. In this second sense, the possible is opposed no longer to the contradictory, but seems to be identifiable with power, understood as the power of contraries (being A or not-A), and of contradictories (being or not being” (p. 125).

We saw previously that both of two contradictories cannot be in act or be the case at the same time, but contradictories can both potentially be in act or be the case.

“The remainder of Theta 4, up to the beginning of Theta 5, nonetheless has the object of opposing determinism. This begins from the distinction between the impossible and the false. A strong determinist position in effect comes back to saying that nothing is possible that is not and will not be true. This position assumes a triple reduction, not only of the possible to the potential and of the potential to the actual, but also of the actual to the true” (p. 126).

This leads back to the position of the Megarians. But Aristotle clearly affirms that the non-actual is not impossible. She quotes, “It is false that you are standing right now, but it is not impossible” (ibid).

Aristotelian potentiality encompasses alternate possibilities.

Next in this series: An Aside on Necessity

Di Giovanni on Hegel’s Logic

“The subject matter of the Logic is not the ‘thing-in-itself’ or its phenomenal manifestations, whether one conceives the ‘in-itself’ as a substance or as freedom, but is discourse itself…. The Logic itself is a discourse about discourse” (George di Giovanni, translator’s introduction to Hegel, The Science of Logic, p. xxxv).

Writing about Hegel’s development, di Giovanni says that by 1803/04, “Consciousness is where organic nature acquires its highest point of concentration by reflecting upon itself and where nature as such becomes spirit. When this consciousness develops into language, and language in turn becomes the language of a people, the social character of spirit is then revealed” (ibid, p. xix).

“[W]hile in 1803/04 Hegel provided a smoother transition from nature to spirit by introducing the factor of consciousness and thus adding to nature, so to speak, a new dimension of depth, [in 1805/06/07] he adds to it yet another dimension by conceiving spirit as the place where nature becomes conscious of its being conscious, that is to say, the place where it becomes deliberate about itself or, again, where it becomes a product of spirit” (p. xxi).

“[Kant’s] notorious ‘thing-in-itself’, instead of being understood as an ideal term of reference that generates a universal space of reason… could be taken instead — as it in fact was by many contemporaries — as a sort of hyper-physical entity…. In a critical context, however, any appeal to causality… would have to fall on the side of a physiological pre-history of experience” (p. xxx).

“It was to remedy this failure that Fichte undertook his thought experiment [with pure freedom], asking his auditors to simply think for the sake of thinking and to reflect on the result…. The net result is that the whole of experience becomes colored with a moral tinge, exactly what Fichte had of course intended from the start. Experience is a call to transform the otherwise merely brute facts of experience…. The idea of construing objects of experience by applying categories to a presupposed given content loses all its meaning…. One must rather interpret experience” (pp. xxxi-xxxii).

(It always seemed to me that even the “application” of pre-existing categories to the sensible manifold implicitly requires interpretation in order to judge which categories are applicable in each specific context of the manifold, and how they are applicable in each case. To my knowledge Kant does not speak of this explicitly, but I don’t think he ever explicitly assumes specific contents in the manifold either. What would then be “given” for Kant ought to be just the manifold as a potentially differentiable lump. Following the principle of charitable interpretation, then, I read Kant as a bit closer to Fichte on this point. The implicit interpretation I want to attribute to Kant would probably operate via the pre-conscious figurative synthesis of imagination though, whereas I think Fichte has a more conscious process of interpretation in mind.)

“On Hegel’s analysis of both Kant and Fichte, the problem is that the ‘I’ that figures so prominently in their theories is too abstract a product…. Therefore, according to Hegel, it lets the content of experience… escape from it and fall, so to speak, on the side of a beyond from which it is retrievable only by means of such non-conceptual means as intuition…. And if Hegel did not want to travel the way of Schelling, which would have taken him to a pre-Kantian Spinozism, then the only avenue open to him was to comprehend facticity discursively, without intuition or myth-making” (pp. xxxiii-xxxiv).

“I have been deliberately using ‘discourse’ and ‘discursiveness’ instead of ‘dialectic’ (a term, incidentally, that Hegel uses sparsely in the Logic) in an attempt to demystify the latter term. But it should be clear that the meaning is the same” (p. xxxix).

“[W]e do not have anything that would amount to McTaggart’s Absolute Idea from which, allegedly, every minute detail of reality can in principle be deduced. This is a position that Hegel unequivocally rejected and even found infuriating…. As for Hegel, the strength of his Logic lies in that it finds a ground for this contingency in the indeterminacy necessarily inherent in the structure of things that are in becoming” (p. lviii).

Hegel takes us beyond sterile debates about freedom versus determinism by means of a novel account of determinacy itself as including built-in indeterminacy. Aristotle of course preceded him in this, albeit with a different account of determination-including-indeterminism.

“[I]t is nature which in the abstract medium of logical discourse attains the self-comprehension, and the efficacy, which we attribute to spirit. Nature is for Hegel, just as it was for Schelling, the ‘pre-self’ of the ‘self’, not just the ‘other-than-self’ of Fichte” (p. lix).

Incidentally, di Giovanni dedicates his 2010 translation of the Science of Logic to his “mentor and friend” H. S. Harris, whose unique literal commentary on Hegel’s Phenomenology I previously treated at length.

Essential Goodness

By essential goodness I mean a kind of multiple potential that is always there. With Aristotle, I don’t assume there is a single Platonic form of the Good. I also don’t assume that the potential for goodness is evenly distributed, but it seems to be plentiful. As befits its potential status, it is simultaneously over- and underdetermined. There is more than one way for a situation to turn out well. This is not automatic, and usually requires our cooperation and active participation.

Part of what makes meanings meaningful to us is their involvement with contingency. Contingency means that what we do matters, but it also means there will always be things beyond our control that we passively experience.

A few of these may be terrible. We lose loved ones. After seeing horrors like the Nazi concentration camps, some people lost their faith, because God did not prevent those things from occurring. This was based on a wrong expectation of a universally present guiding hand in events. Enough wonders do come to us in life that metaphors of providence speak to us, and hope is a good thing. But providence does not necessitate anything, because goodness is a potential that typically requires a cooperating agent(s) for its realization.

Fragility of the Good

At heart, I am an optimistic rationalist in the spirit of Aristotle, Leibniz, and Brandom. Though on Platonic and Kantian grounds I am generally reticent about relying on belief about more particular matters of principle, I do “believe” in essential goodness. However, essential goodness has no automatic causal efficacy. It falls to us to further its realization. (The title phrase occurred to me spontaneously, but I was probably recalling a similar one in the title of a book by Martha Nussbaum.)