Combining Texts

All the ideas for 'Mathematics without Numbers', 'Aspects of the Theory of Syntax' and 'The Blue and Brown Notebooks'

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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]
16. Persons / D. Continuity of the Self / 3. Reference of 'I'
'I' is a subject in 'I am in pain' and an object in 'I am bleeding' [Wittgenstein, by McGinn]
19. Language / C. Assigning Meanings / 1. Syntax
Chomsky's 'interpretative semantics' says syntax comes first, and is then interpreted [Chomsky, by Magidor]
19. Language / F. Communication / 6. Interpreting Language / b. Indeterminate translation
The doctrine of indeterminacy of translation seems implied by the later Wittgenstein [Wittgenstein, by Quine]