Combining Texts

All the ideas for 'Science and Method', 'Mathematical Truth' and 'The Identity of Indiscernibles'

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

---

8 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 / 1. Mathematics

9935	Mathematical truth is always compromising between ordinary language and sensible epistemology [Benacerraf]

6. Mathematics / A. Nature of Mathematics / 2. Geometry

10245

One geometry cannot be more true than another [Poincaré]

6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism

17927

Realists have semantics without epistemology, anti-realists epistemology but bad semantics [Benacerraf, by Colyvan]

9936	The platonist view of mathematics doesn't fit our epistemology very well [Benacerraf]

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]