Combining Texts

All the ideas for 'Chomsky on himself', 'Mathematics without Numbers' and 'Frege's Theory of Numbers'

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5 ideas

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure

17447

Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]

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]

18. Thought / D. Concepts / 2. Origin of Concepts / c. Nativist concepts

6649	Chomsky now says concepts are basically innate, as well as syntax [Chomsky, by Lowe]