Combining Texts

All the ideas for 'Mathematics without Numbers', 'On Minerals' and 'Realism, Mathematics and Modality'

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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 / 9. Fictional Mathematics
8714 Fictionalists say 2+2=4 is true in the way that 'Oliver Twist lived in London' is true [Field,H]
9. Objects / C. Structure of Objects / 2. Hylomorphism / a. Hylomorphism
16756 Substantial forms must exist, to explain the stability of metals like silver and tin [Albertus Magnus]