Combining Texts

All the ideas for 'Mathematics without Numbers', 'works' and 'Human Freedom and Divine choice'

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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]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / a. Essence as necessary properties
13083 The essence is the necessary properties, and the concept includes what is contingent [Leibniz]
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]