Combining Texts

All the ideas for 'Mathematics without Numbers', 'Primary Truths' and 'Scientific Realism'

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5 ideas

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]
8. Modes of Existence / B. Properties / 5. Natural Properties
Scientific properties are defined by the laws that embody them [Psillos, by Ladyman/Ross]
12. Knowledge Sources / A. A Priori Knowledge / 4. A Priori as Necessities
An a priori proof is independent of experience [Leibniz]