Combining Texts

All the ideas for 'Mathematics without Numbers', 'works' and 'Existence,Ontological Commitment and Fictions'

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5 ideas

4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory

8972	What in the real world could ground the distinction between the sets {A,{A,B}} and {B,{A,B}}? [Inwagen]

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 / E. Abstraction / 8. Abstractionism Critique

8638	Thomae's idea of abstract from peculiarities gives a general concept, and leaves the peculiarities [Frege on Thomae]