Combining Texts

All the ideas for 'Deflationary Metaontology of Thomasson', 'Lectura' and 'The Theory of Transfinite Numbers'

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5 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
A set is a collection into a whole of distinct objects of our intuition or thought [Cantor]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / f. Uncountable infinities
Cantor needed Power Set for the reals, but then couldn't count the new collections [Cantor, by Lavine]
9. Objects / A. Existence of Objects / 5. Individuation / e. Individuation by kind
No sortal could ever exactly pin down which set of particles count as this 'cup' [Schaffer,J]
9. Objects / B. Unity of Objects / 1. Unifying an Object / a. Intrinsic unification
'Unity' is a particularly difficult word, because things can have hidden unity [Duns Scotus]
9. Objects / F. Identity among Objects / 6. Identity between Objects
Identities can be true despite indeterminate reference, if true under all interpretations [Schaffer,J]