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Jason Hoskins's avatar

Your continued exploration of this tricky topic has been indispensable in clarifying the crucial roles/functions of eternal objects and potentiality in Whitehead’s scheme, which has certainly refined my thinking. However, I remain unsatisfied with eternal objects and believe Whitehead’s scheme can survive largely intact by carefully reframing potentiality.

“Eternal objects, considered in abstraction from actualities, carry no coordinates, no metric, none of the pre-given structure that would make them a state space. Pure potentiality is not a dimension or a metrical order.”

As I understand it, your argument for the adequacy of eternal objects as a conception of pure potentiality (in spite of the commitments you affirm from Kauffman, Juarrero, and Jackson) rests heavily on your ability to insulate their definiteness from their position in some space, whether that be the extensive continuum, a Platonic realm of forms, or any other pre-given state-space. But as I argued in our recent exchange on Facebook, I think that effort falls flat within Whitehead’s scheme precisely because eternal objects are ordered by the primordial nature of God: “Such a primordial superject of creativity achieves, in its unity of satisfaction, the complete conceptual valuation of all eternal objects. This is the ultimate, basic adjustment of the togetherness of eternal objects on which creative order depends. It is the conceptual adjustment of all appetites in the form of aversions and adversions. It constitutes the meaning of relevance.” This positions eternal objects within a relevance landscape that licensed Whitehead to drop his category of conceptual reversion while still allowing concrescing occasions to conceptually prehend relevant eternal objects (e.g., the adjacent possible) and introduce novelty while maintaining coherence and intelligibility in the actual world process. It is true that this relevance landscape is not a metrical space (i.e., there is no meaningful distance function), but it is certainly a topological space that carries notions of adjacency and relational structure. And so the questions remain: Can the definiteness of eternal objects be disentangled from their relational position within this primordial valuation, which serves as a sort of pre-given state-space? What could we possibly mean by “definite” without the implicit notions of contrasts, boundaries, or properties provided by relational forms within some relational context, be it abstract or concrete?

“Whether graded relevance is historical construction all the way down, the result of coarse-graining with no ultimate ground, or an uncreated condition of evolutionary construction, is a question that will no doubt continue to linger. But I cannot myself make sense of the former possibility. “Effective relevance requires agency of comparison” (PR 31). Without God, possibilities that transcended realized temporal matter of fact would remain relatively nonexistent for a given finite occasion.”

I just finished expressing skepticism that one can insulate the definiteness of eternal objects from their position in a pre-defined state-space in Whitehead’s scheme. This is a direct consequence of Whitehead’s own answer to the question, “how, and in what sense, one unrealized eternal object can be more, or less, proximate to an eternal object in realized ingression” (PR 249), which was God’s primordial valuation/ordering of eternal objects. It seems to me that the perceived need for an agency of comparison arises precisely because eternal objects are first conceived as definite independently of their relational context. So, it seems your proposed justifications for releasing these two hostages may work against each other. The agency of God is invoked to explain how definite eternal objects could attain relevance to each other, but the achievement of that relevance landscape makes it difficult (if not impossible) to insulate their definiteness from their position within a pre-given state-space without treating definiteness as something that is intelligible independently of the very relational context that is supposed to render eternal objects relevant.

My paper-in-progress builds on these and related arguments to explore whether Whitehead's own relational insights can be extended into potentiality without appealing to eternal objects as pre-definite forms. I hope to have something worth sharing in the coming months.

Ben Snyder's avatar

Sorry to be providing so much criticism of your Whitehead readings lately (I guess I have to fit them all in before you head off to the Whitehead conference). I think this is a good example of where contemporary philosophy of language and analytic metaphysics can help clarify Whitehead’s theory and its relevance to contemporary philosophy of science.

What would it mean for propositions to be “logical sentences”? Propositions the abstract objects ambiguously expressed by declarative sentences; this much is very familiar in analytic philosophy. It is also not distinctive of Whitehead to have propositions be “lures for feeling”: the analytic way of saying that would be, that propositions are the possible content of propositional attitudes.

Propositions being “hybrid” entities, composed of particular and abstract entities, is what is called a Russellian structural theory. The further consequence of this, that singular propositions contingently exist when they have contingent particulars as parts, is what is often called (following Plantinga) “existentialism.” This existentialism is the relevant thesis you’re utilizing here, though I’m skeptical of how you are utilizing it.

The crucial point is that, by Whitehead's reasoning, propositions are only nonexistent in a world when referring to particular actual entities that don’t exist in that world. The upshot is that all purely general propositions thus still exist and are meaningful/statable, as are higher-order propositions only naming properties and relations (insofar as we interpret these to be referring to eternal objects). Thus, whatever can’t be named directly could still be described (i.e., you could say, there is some x such that x has traits P, Q, and R and x is …).

Thus the problem with your example: “That feathers might become flight-worthy requires a world in which there are feathered reptiles of a certain body mass, a particular atmospheric density, etc.” This is a world we are capable of describing in terms of properties and relations that are themselves universals. Your example, “feathers are for flight”, does not really seem to be a statement naming any particular individuals. It is naming properties, namely, properties of an organism’s body parts (being a feather) and its actions (flying). Here, of course, is where your interpretation of traits as societies comes in, arguing that this type of description does, in fact, involve naming particulars, but to be blunt I do not think this argument makes sense.

Societies are concrete particulars for Whitehead. They are types of nexuus, where the members of the nexus are instantiating a common eternal object, the “defining characteristic.” I’d think biologists would generally want to be able to distinguish between a trait in general and a particular organism’s instantiation of said trait. Insofar as they are doing so, this is precisely the distinction between an eternal object and a society. Since we can talk of the convergent evolution of traits, we can talk about particular organisms sharing traits independently of their causal connection: a clear sign we are discussing properties being instantiated over distinct space-time events, and not a particular instantiation of a property at a particular space-time event. Much the same thing seems to apply to the types of behavior we can in turn consider a trait functioning for: these are _types_ of behavior we are describing in general, not particular instantiations of them.

The upshot of all of this, I believe, is that this approach is not really consonant with the kind of platonic realism of universals that Whitehead has. Once one admits universals into one's ontology, all of these traits and behaviors become describable in abstraction from any particular instances. You do not make it clear that we are losing anything relevant in our statements for a scientific theory when we move from discussing particular societies to discussing, in general, types of societies described in terms of their forms.

Whitehead uses the term “definiteness” primarily to refer to an attribute of actual entities: it is “the illustration of select eternal objects” (PR 25). An eternal object is thus a form of definiteness in the sense of being a form that contributes to an actual entity’s definiteness. Thus, contrary to what I take your reading to be, the eternal objects are the forms and not the definiteness. To put it even more specifically, the eternal objects necessarily are the forms that they are, whereas they contribute contingently to the definiteness of actual entities.

There is “pre-given structure” for eternal objects, since Whitehead has a theory of complex eternal objects, i.e., an eternal object that itself consists of a pattern of other eternal objects and may be ingressed as one complex structure. This is also familiar to more contemporary metaphysics as a theory of “structural universals.” Whitehead has eternal objects that serve the role of “Platonic mathematical forms”, which are thus the basis for his theory of extension and provide the geometrical structure involved in complex eternal objects. These are the regions and the binary relation of connection elaborated in his mereotopology: other simple eternal objects, sensa, can then be located at regions and thereby form into complex ordered forms. That the extensive continuum is in part derivative from the actual world does not mean the geometrical forms of structure are themselves contingently created, but that the actual world contingently ingresses some structure rather than others (out of a given realm of possible forms of structure).

There are thus many aspects of this argument I’d want to see given some more detailed or made more convincing—and not just in terms of being an accurate reading of Whitehead. What is the criterion for a proposition’s statability? How do propositions about traits fall under the conditions of thus not being statable? In what sense are eternal objects capable of being structured, and in what ways is said structure only contingently derived from the actual world?

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