Combining Texts

All the ideas for 'fragments/reports', 'Set Theory and related topics (2nd ed)' and 'The Theory of Transfinite Numbers'

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4 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]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / e. Equivalence classes
Equivalence relations are reflexive, symmetric and transitive, and classify similar objects [Lipschutz]
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]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]