Combining Texts

All the ideas for 'Mathematics without Numbers', 'Epistemic Two-Dimensional Semantics' and 'On Aristotle's 'Metaphysics''

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6 ideas

3. Truth / D. Coherence Truth / 1. Coherence Truth
Truth in a scenario is the negation in that scenario being a priori incoherent [Chalmers]
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 / E. Categories / 4. Category Realism
Different genera are delimited by modes of predication, which rest on modes of being [Aquinas]
12. Knowledge Sources / A. A Priori Knowledge / 4. A Priori as Necessities
A sentence is a priori if no possible way the world might actually be could make it false [Chalmers]