Combining Texts

All the ideas for 'Mathematics without Numbers', 'Intuitionism: an Introduction' and 'Reply to Hellman'

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5 ideas

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 / d. Logicism critique

8754	Logic is dependent on mathematics, not the other way round [Heyting, by Shapiro]

12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence

9379	A sentence is obvious if it is true, and any speaker of the language will instantly agree to it [Quine]