Combining Texts

All the ideas for 'Set Theory and related topics (2nd ed)', 'On Relations of Universals and Particulars' and 'The Theory of Transfinite Numbers'

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]

4. Formal Logic / F. Set Theory ST / 3. Types of Set / e. Equivalence classes

8920	Equivalence relations are reflexive, symmetric and transitive, and classify similar objects [Lipschutz]

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 / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience

16045

General facts supervene on particular facts, but cannot be inferred from them [Russell, by Bennett,K]

8. Modes of Existence / B. Properties / 13. Tropes / b. Critique of tropes

14327

Trope theorists cannot explain how tropes resemble each other [Russell, by Mumford]