Combining Texts

All the ideas for 'Mathematics without Numbers', 'Our Knowledge of Mathematical Objects' and 'Positions'

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8 ideas

1. Philosophy / H. Continental Philosophy / 6. Deconstruction
8216 Deconstruction is not neutral; it intervenes [Derrida]
2. Reason / C. Styles of Reason / 1. Dialectic
8213 I try to analyse certain verbal concepts which block and confuse the dialectical process [Derrida]
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 / 6. Logicism / c. Neo-logicism
9224 Proceduralism offers a version of logicism with no axioms, or objects, or ontological commitment [Fine,K]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
9222 The objects and truths of mathematics are imperative procedures for their construction [Fine,K]
9223 My Proceduralism has one simple rule, and four complex rules [Fine,K]