Combining Philosophers

Ideas for H.Putnam/P.Oppenheim, Ian Rumfitt and Kathrin Koslicki

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4 ideas

6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics

18846

Cantor and Dedekind aimed to give analysis a foundation in set theory (rather than geometry) [Rumfitt]

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers

17312

It is more explanatory if you show how a number is constructed from basic entities and relations [Koslicki]

6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers

17461

Some 'how many?' answers are not predications of a concept, like 'how many gallons?' [Rumfitt]

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

14505

Some questions concern mathematical entities, rather than whole structures [Koslicki]