Combining Philosophers

Ideas for Rescher,N/Oppenheim,P, Leon Horsten and Anil Gupta

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4 ideas

6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics

10885

Computer proofs don't provide explanations [Horsten]

6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory

10881

The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten]

15360

ZFC showed that the concept of set is mathematical, not logical, because of its existence claims [Horsten]

15369

Set theory is substantial over first-order arithmetic, because it enables new proofs [Horsten]