Combining Texts

All the ideas for 'Mathematics without Numbers', 'works' and 'Metaphysical Foundations of Natural Science'

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5 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]
14. Science / D. Explanation / 2. Types of Explanation / j. Explanations by reduction
Science is the reduction of diverse forces and powers to a smaller number that explain them [Kant]
18. Thought / E. Abstraction / 8. Abstractionism Critique
Thomae's idea of abstract from peculiarities gives a general concept, and leaves the peculiarities [Frege on Thomae]