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Ben Snyder's avatar

We should make a difference between the mereotopology of regions and any mereology or mereotopology characteristic of other categories of entities. The only mereotopology Whitehead offered semiformally is one for regions, and it's this version that then influenced later mereological theories. Importantly I think for your comments here, Whitehead doesn't have a dynamic mereotopology for regions. A region has a fixed, determinate boundary: "a certain determinate boundedness is required for the notion of a region... Wherever there is ambiguity as to the contrast of boundedness between inside and outside, there is no proper region" (PR 301). Regions thus also have fixed, determinate parts, and their identity could be defined extensionally in terms of their parts (as also occurs in classical mereology). This is crucial for his philosophy of science, since his theory of extension is meant to provide the necessary geometrical structure involved in the "uniformity of nature" presupposed by physics.

There should be a reading group for Whitehead scholars interested in learning more about mereology.

We should also distinguish between regions as those function on the one hand physically, and on the other hand conceptually. The way extensive relations actually determine how occasions feel each other is what leads to what in physics is studied as the transmission of energy as describable using a geometrical system. On the other hand, occasions (and especially living occasions) also have a mentality in which they can entertain possibilities about these regions, their relations, and what may be located at them. We would thus be concerned with conceptual feelings (especially propositional and intellectual feelings). This seems more like what you are most directly interested in, rather than the mereotopology of physical relationships per se; I think it's here that you get a bit more dynamics as subjective beliefs or attitudes about regions/extensive relationships are updated.

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Greg Christoffel's avatar

You realize, of course, that you are expressing thoughts that Whitehead wishes he had thought.

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