Combining Texts

All the ideas for 'Issues of Pragmaticism', 'Philosophy and Scientific Image of Man' and 'Mathematics without Numbers'

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6 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / c. Philosophy as generalisation
Philosophy aims to understand how things (broadly understood) hang together (broadly understood) [Sellars]
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 / C. Structure of Existence / 2. Reduction
Reduction requires that an object's properties consist of its constituents' properties and relations [Sellars]
19. Language / A. Nature of Meaning / 1. Meaning
The meaning or purport of a symbol is all the rational conduct it would lead to [Peirce]