Combining Philosophers

All the ideas for Pittacus, Geoffrey Hellman and Fabrice Correia

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8 ideas

5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
16974 The nature of each logical concept is given by a collection of inference rules [Correia]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
8921 Structuralism is now common, studying relations, with no regard for what the objects might be [Hellman]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
8698 Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]
9557 Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]
10263 Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]
8922 Maybe mathematical objects only have structural roles, and no intrinsic nature [Hellman]
10. Modality / A. Necessity / 6. Logical Necessity
16973 Explain logical necessity by logical consequence, or the other way around? [Correia]
10. Modality / A. Necessity / 8. Transcendental Necessity
3016 Even the gods cannot strive against necessity [Pittacus, by Diog. Laertius]