Combining Texts

All the ideas for 'Natural Science (lost)', 'The Theory of Transfinite Numbers' and 'Nominalism and Realism'

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

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4 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]

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]

7. Existence / A. Nature of Existence / 6. Criterion for Existence

527	Everything exists which anyone perceives [Metrodorus of Chios]

8. Modes of Existence / D. Universals / 2. Need for Universals

4032	The problem of universals is how many particulars can all be of the same 'type' [Armstrong]