Complex Substance

A complex substance is an unordered whole that’s wholly built out of substances. That is, it has only substances as parts. It is controversial whether there are, or could be, complex substances. Part of the difficulty is in seeing how to answer what Peter van Inwagen calls, ‘the special composition question’. In my terminology, the question could be put this way: What is a principled way to distinguish unordered wholes that are substance from mere arrangements (ordered wholes). Or to put it another way: what has to happen to a bunch of substances for them to count as parts of a substance. The various answers proposed, such as being in contact or being causally connected, lead to counter-intuitive results (e.g., does the lollipop become a part of your body when you touch it?)

For me, it is a wide open question whether there are any complex substances. If there are, I suspect that they do not have any separable parts—parts that could continue to exist even if separated. For if a complex substance had separable parts, I would wonder what principle could account for when a part is sufficiently separated for it to no longer count as a part. For example, suppose that a certain atom is presently A is part of my right toe T. T counts as a complex substance of it can survive the loss of parts. Now suppose that T can lose A by virtue of A becoming separated from T. A begins to move apart from the other parts of T. Question: how far does A have to venture before A is no longer a part of T. Either there is a precise answer to this question or there is not. If there is not, then it is possible for the proposition that A is part of T to be neither true nor false. (Notice I said proposition, not sentence!) That is, bivalence would be false. Now many philosophers would not be bothered by that result. But bivalence seems plausible to me (when applied to propositions), and I have an independent reason to accept it in Chapter 3 of my dissertation on propositions and truth. The alternative, then, is to say that there is a precise distance at which A is no longer a part of T. But that strikes me as really odd—false even. Why should the cut-off be right there rather than slightly higher or lower? It strikes me that there should be an explanation, but I cannot see how there could be. All this leads me to tentatively doubt or be skeptical of the idea that there are complex substances with separable parts.

Still, there is the option that there are or could be complex substances that have no separable parts. Perhaps some mental substances would be like that if they were not built up out of material parts. Also, if every top-half of an extended thing automatically has a top-half, then perhaps the smallest building blocks of physical things are themselves complex substances that lack separable parts.

Final thought: philosophers sometimes talk about ontological priority when considering the relationship between a complex thing and its parts. The usual thought is that the parts of a thing are ontologically prior to it. But there is also the thought that some wholes may be prior to their parts. I’ve sometimes wondered if myself if quantum entanglement could be explained by virtue of a whole being prior to its parts—so when you affect a part, you thereby affect the whole, which in turn instantly affects the other parts. But then I find myself suspicious of ‘priority’ talk. My first instinct is to see if the priority relation can be analyzed into other more familiar relations, such as parthood, epistemic priority, causation, entailment, or a combination of these. But maybe there is an unanalyzable relation of ontological priority in addition to these other asymmetric relations. One task of a metaphysician is to investigate which things are prior to which other things (for various senses of prior).

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