Combining Philosophers

Ideas for Anaxarchus, Oliver,A/Smiley,T and Alfred Tarski

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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

10157

Tarski improved Hilbert's geometry axioms, and without set-theory [Tarski, by Feferman/Feferman]

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 / 7. Formalism

10154

Tarski's theory of truth shifted the approach away from syntax, to set theory and semantics [Feferman/Feferman on Tarski]