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Ideas for 'works (fragments)', 'A Structural Account of Mathematics' and 'Logic in Mathematics'

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5 ideas

6. Mathematics / A. Nature of Mathematics / 1. Mathematics

16869

To create order in mathematics we need a full system, guided by patterns of inference [Frege]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite

7555	Zeno achieved the statement of the problems of infinitesimals, infinity and continuity [Russell on Zeno of Citium]

6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry

9553	Analytic geometry gave space a mathematical structure, which could then have axioms [Chihara]

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers

16864

If principles are provable, they are theorems; if not, they are axioms [Frege]

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

10192

We can replace existence of sets with possibility of constructing token sentences [Chihara, by MacBride]