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Ideas for 'On What Grounds What', 'Structuralism' and 'Introduction to the Theory of Logic'

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3 ideas

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / f. Mathematical induction

10891

If a set is defined by induction, then proof by induction can be applied to it [Zalabardo]

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism

8921	Structuralism is now common, studying relations, with no regard for what the objects might be [Hellman]

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism

8922	Maybe mathematical objects only have structural roles, and no intrinsic nature [Hellman]