Combining Texts

All the ideas for 'Whitehead and the Rise of Modern Logic', 'The Identity of Indiscernibles' and 'fragments/reports'

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]

5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic

13639

Quine says higher-order items are intensional, and lack a clearly defined identity relation [Quine, by Shapiro]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory

21557

Russell confused use and mention, and reduced classes to properties, not to language [Quine, by Lackey]

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 / C. Structure of Objects / 6. Constitution of an Object

6019	If someone squashed a horse to make a dog, something new would now exist [Mnesarchus]

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]