Combining Texts

All the ideas for 'Causation', 'Mathematics without Numbers' and 'The Identity of Indiscernibles'

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10 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
The Axiom of Choice needs a criterion of choice [Black]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]
Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]
Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]
7. Existence / D. Theories of Reality / 8. Facts / a. Facts
Events are picked out by descriptions, and facts by whole sentences [Crane]
9. Objects / A. Existence of Objects / 5. Individuation / b. Individuation by properties
Two things can only be distinguished by a distinct property or a distinct relation [Black]
9. Objects / F. Identity among Objects / 5. Self-Identity
The 'property' of self-identity is uselessly tautological [Black]
9. Objects / F. Identity among Objects / 7. Indiscernible Objects
If the universe just held two indiscernibles spheres, that refutes the Identity of Indiscernibles [Black]
26. Natural Theory / C. Causation / 4. Naturalised causation
A cause has its effects in virtue of its properties [Crane]
26. Natural Theory / C. Causation / 9. General Causation / a. Constant conjunction
The regularity theory explains a causal event by other items than the two that are involved [Crane]