Structure, Potentiality

I now want to say, structure — which statically captures a determinate field of potential inferences — is isomorphic to Aristotelian potentiality. These concepts are mutually illuminating.

This helps clarify how Aristotelian potentiality differs from the Platonic power referenced by the same Greek word, as well shedding light on the association I have made between potentiality and counterfactual inference.

From the other direction, the thing to notice is that for Aristotle, potentiality exists only in a pair with actuality or at-work-ness. Similarly, synchronic structure exists only in a pair with diachronic process. I always read the conspicuous lack of definition of the synchronic/diachronic interface as reflecting something like Aristotle’s principled use of underdetermination in order to focus on what is most essential and clearly justifiable.

A lot of people seem to have been very confused about this latter point during the drama over 1960s French structuralism. What passed for dialogue was often a complete disconnect. “Look at how much can be explained synchronically!” “Oh no, you’re abolishing history, free will, personality, and identity!” If the new viewpoint was forgivably one-sided in its enthusiasm, some of the reaction verged on hysteria. (See also The Dreaded Humanist Debate.)

Another source of confusion seems to be that many people apparently thought of structural causality in terms of a monolithic, complete determination. I think instead that structural causality comes in many separate blocks, in an overall context of less-than-complete determination. (See also Structural Causality, Choice; Values, Causality; The Importance of Potentiality.)

Matter, Potentiality

I’ve suggested nonstandard readings of both Aristotelian matter and Aristotelian potentiality. While traditionally there is thought to be a loose analogy such that matter is to form as potentiality is to actuality, the two concepts as I am reading them are sharply distinct. Matter captures the accumulation of contingent fact. Potentiality captures counterfactually robust inference. Matter particularizes, while potentiality universalizes.

Potentiality seems to me to be a kind of form. This is a bit tricky, because an important classical sense of Aristotelian matter that I have not been emphasizing is associated with a disposition to respond in certain ways when acted upon. This, however, sounds like counterfactual potentiality to me.

Potentiality

Potentiality (dynamis) is yet another great Aristotelian expressive metaconcept. Plato had the intriguing idea of explaining things and states of affairs in terms of power (also dynamis), but left power as an unexplained explainer, and required it to be postulated as pre-existent. Aristotle thoroughly reconceptualized the term to eliminate these weaknesses. Every Aristotelian potentiality begins from actuality or at-work-ness.

Instead of referring to postulated powers behind things or abstract logical possibility, Aristotelian potentiality is a way of talking about the aspects of a conceptual content captured by what Brandom would call modally robust counterfactual inference. Such robustness of inference across counterfactual cases is implicitly central to the most elementary meaning of Aristotelian substance or “what it was to have been” a thing (ousia), as what grounds the weak unity that allows us to talk about the same “thing” persisting through time even though something about it changed.

The semantic importance of counterfactual inference in determining the sense of what things are is a thesis shared by Aristotle, Hegel, and Brandom. It is explicit in Brandom and Brandom’s Hegel, and implicit in Aristotle. We cannot even really form a view of any thing as a thing of a certain kind unless we at least implicitly consider its potentiality.

Aristotle was clear that potentiality is an irreducible ingredient in things, and potentiality clearly captures counterfactuals. Brandom has made the role of counterfactuals in the development of universality more explicit. Facts alone give us at best a very brittle structure of assertions with no real conceptual articulation or interpretation, so perspectives that try to ground things on facts alone are doomed to ultimate failure. (In this light, Nietzsche‘s elimination of potentiality also turns out to have been a very serious error.) Overly strong, question-begging notions of the Identity of things have helped obscure the vital role of counterfactual inference in stabilizing our experience of the world. (See also Modality and Variation.)

Tentatively mapping this to Brandom’s Fregean terminology, I think Aristotle would intend the relation of potentiality to actuality to be one of reciprocal sense dependence paired with asymmetrical reference dependence. That is to say, at a level of determination of meaning, potentiality and actuality are interdependent and equally important, but in the order of logical truth about representations, actuality or the concrete is the starting point in terms of which potentiality is evaluated. Potentialities are potentialities of some actuality. (See also The Importance of Potentiality; Potentiality, Actuality; Structure, Potentiality; Matter, Potentiality.)