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Full Idea
It is the hierarchical conception of sets and their members, rather than the linear conception of set and subset or of aggregate and component, that provides us with the better model for the structure of part-whole in its application to material things.
Gist of Idea
Hierarchical set membership models objects better than the subset or aggregate relations do
Source
Kit Fine (Things and Their Parts [1999], §5)
Book Ref
-: 'Midwest Studs in Philosophy' [-], p.72
A Reaction
His idea is to give some sort of internal structure. He says of {a,b,c,d} that we can create subsets {a,b} and {c,d} from that. But {{a,b},{c,d}} has given member sets, and he is looking for 'natural' divisions between the members.
| 15856 | A thing can become one or many, depending on how we talk about it [Plato] |
| 17839 | Some things are unified by their account, which rests on a unified thought about the thing [Aristotle] |
| 2297 | If I can separate two things in my understanding, then God can separate them in reality [Descartes] |
| 13160 | To exist and be understood, a multitude must first be reduced to a unity [Leibniz] |
| 12746 | We find unity in reason, and unity in perception, but these are not true unity [Leibniz] |
| 12035 | Leibniz bases pure primitive entities on conjunctions of qualitative properties [Leibniz, by Adams,RM] |
| 20362 | We saw unity in things because our ego seemed unified (but now we doubt the ego!) [Nietzsche] |
| 14252 | We should understand identity in terms of the propositions it renders true [Fine,K] |
| 13332 | Hierarchical set membership models objects better than the subset or aggregate relations do [Fine,K] |
| 14928 | Things are abstractions from structures [Ladyman/Ross] |
| 14481 | Wherever an object exists, there are intrinsic properties instantiating every modal profile [Thomasson] |