Combining Texts

Ideas for 'works', 'A Structural Account of Mathematics' and 'Theory of Science (Wissenschaftslehre, 4 vols)'

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4 ideas

6. Mathematics / A. Nature of Mathematics / 2. Geometry

9618	Bolzano wanted to reduce all of geometry to arithmetic [Bolzano, by Brown,JR]

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 / 7. Mathematical Structuralism / c. Nominalist structuralism

10192

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

6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics

9830	Bolzano began the elimination of intuition, by proving something which seemed obvious [Bolzano, by Dummett]