Combining Texts

All the ideas for 'The Theory of Transfinite Numbers', 'Intro to 'Provenance of Pure Reason'' and 'Entity and Identity'

expand these ideas     |    start again     |     specify just one area for these texts

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5 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory

9616	A set is a collection into a whole of distinct objects of our intuition or thought [Cantor]

5. Theory of Logic / K. Features of Logics / 1. Axiomatisation

13416

Mathematics must be based on axioms, which are true because they are axioms, not vice versa [Tait, by Parsons,C]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / f. Uncountable infinities

15896

Cantor needed Power Set for the reals, but then couldn't count the new collections [Cantor, by Lavine]

9. Objects / A. Existence of Objects / 2. Abstract Objects / b. Need for abstracta

16980

We need a logical use of 'object' as predicate-worthy, and an 'ontological' use [Strawson,P]

9. Objects / D. Essence of Objects / 3. Individual Essences

16979

It makes no sense to ask of some individual thing what it is that makes it that individual [Strawson,P]