Combining Texts

All the ideas for 'Leibniz: Guide for the Perplexed', 'Mathematics without Numbers' and 'Mental Models'

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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]
9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined
Substance needs independence, unity, and stability (for individuation); also it is a subject, for predicates [Perkins]
14. Science / B. Scientific Theories / 7. Scientific Models
The models we use in reasoning may be more like perceptions than like language [Johnson-Laird]