Combining Texts

Ideas for 'fragments/reports', 'What are Sets and What are they For?' and 'A Structural Account of Mathematics'

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4 ideas

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics

14246

If mathematics purely concerned mathematical objects, there would be no applied mathematics [Oliver/Smiley]

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 / 6. Mathematics as Set Theory / a. Mathematics is set theory

14247

Sets might either represent the numbers, or be the numbers, or replace the numbers [Oliver/Smiley]

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]