Combining Texts

All the ideas for 'Identity and Spatio-Temporal Continuity', 'On the Concept of Number' and 'Mathematics without Numbers'

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5 ideas

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]

6. Mathematics / C. Sources of Mathematics / 7. Formalism

22293

Hilbert said (to block paradoxes) that mathematical existence is entailed by consistency [Hilbert, by Potter]

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

13128

'Ultimate sortals' cannot explain ontological categories [Westerhoff on Wiggins]