Combining Texts

All the ideas for 'fragments/reports', 'The Identity of Indiscernibles' and 'Cours d'Analyse'

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

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7 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX

10196

The Axiom of Choice needs a criterion of choice [Black]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals

18085

Values that approach zero, becoming less than any quantity, are 'infinitesimals' [Cauchy]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits

18084

When successive variable values approach a fixed value, that is its 'limit' [Cauchy]

9. Objects / A. Existence of Objects / 5. Individuation / b. Individuation by properties

10194

Two things can only be distinguished by a distinct property or a distinct relation [Black]

9. Objects / F. Identity among Objects / 5. Self-Identity

10193

The 'property' of self-identity is uselessly tautological [Black]

9. Objects / F. Identity among Objects / 7. Indiscernible Objects

10195

If the universe just held two indiscernibles spheres, that refutes the Identity of Indiscernibles [Black]

21. Aesthetics / C. Artistic Issues / 7. Art and Morality

468	Musical performance can reveal a range of virtues [Damon of Ath.]