Combining Texts

All the ideas for 'Mathematics without Numbers', 'works' and 'Commentary on 'Physics''

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5 ideas

2. Reason / D. Definition / 1. Definitions
Definition just needs negation, known variables, conjunction, disjunction, substitution and quantification [Weyl, by Lavine]
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 / A. Nature of Existence / 3. Being / e. Being and nothing
Prime matter is halfway between non-existence and existence [Averroes]