Combining Philosophers

Ideas for Anaxarchus, Oliver,A/Smiley,T and Bernard Bolzano

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

10856

A truly infinite quantity does not need to be a variable [Bolzano]

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

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