Combining Texts

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

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6 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]
11. Knowledge Aims / A. Knowledge / 7. Knowledge First
Knowledge is beyond question, as an unavoidable component of thinking [Weil]
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]
21. Aesthetics / B. Nature of Art / 1. Defining Art
Art (like philosophy) establishes a relation between world and self, and between oneself and others [Weil]