Combining Texts

All the ideas for 'Deflationary Metaontology of Thomasson', 'On Platonism in Mathematics' and 'works'

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7 ideas

4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory

10304

Very few things in set theory remain valid in intuitionist mathematics [Bernays]

5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle

15941

For intuitionists excluded middle is an outdated historical convention [Brouwer]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / h. Reals from Cauchy

18247

Brouwer saw reals as potential, not actual, and produced by a rule, or a choice [Brouwer, by Shapiro]

6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism

10303

Restricted Platonism is just an ideal projection of a domain of thought [Bernays]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique

10306

Mathematical abstraction just goes in a different direction from logic [Bernays]

9. Objects / A. Existence of Objects / 5. Individuation / e. Individuation by kind

14082

No sortal could ever exactly pin down which set of particles count as this 'cup' [Schaffer,J]

9. Objects / F. Identity among Objects / 6. Identity between Objects

14081

Identities can be true despite indeterminate reference, if true under all interpretations [Schaffer,J]