Combining Philosophers

Ideas for Jeremy Bentham, Fraser MacBride and JC Beall / G Restall

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3 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / d. Natural numbers

8923	Numbers are identified by their main properties and relations, involving the successor function [MacBride]

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

10692

Hilbert proofs have simple rules and complex axioms, and natural deduction is the opposite [Beall/Restall]

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique

8926	For mathematical objects to be positions, positions themselves must exist first [MacBride]