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3 ideas
10565 | There is no stage at which we can take all the sets to have been generated [Fine,K] |
Full Idea: There is no stage at which we can take all the sets to have been generated, since the set of all those sets which have been generated at a given stage will itself give us something new. | |
From: Kit Fine (Replies on 'Limits of Abstraction' [2005], 1) |
13282 | Aristotle relativises the notion of wholeness to different measures [Aristotle, by Koslicki] |
Full Idea: Aristotle proposes to relativise unity and plurality, so that a single object can be both one (indivisible) and many (divisible) simultaneously, without contradiction, relative to different measures. Wholeness has degrees, with the strength of the unity. | |
From: report of Aristotle (works [c.330 BCE]) by Kathrin Koslicki - The Structure of Objects 7.2.12 | |
A reaction: [see Koslicki's account of Aristotle for details] As always, the Aristotelian approach looks by far the most promising. Simplistic mechanical accounts of how parts make wholes aren't going to work. We must include the conventional and conceptual bit. |
10564 | We might combine the axioms of set theory with the axioms of mereology [Fine,K] |
Full Idea: We might combine the standard axioms of set theory with the standard axioms of mereology. | |
From: Kit Fine (Replies on 'Limits of Abstraction' [2005], 1) |