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Ideas for 'A Priori', 'Parts of Classes' and 'How Things Persist'

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5 ideas

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

17715

The truth of the axioms doesn't matter for pure mathematics, but it does for applied [Mares]

6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / f. Zermelo numbers

15524

Zermelo's model of arithmetic is distinctive because it rests on a primitive of set theory [Lewis]

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

15517

Giving up classes means giving up successful mathematics because of dubious philosophy [Lewis]

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism

15515

To be a structuralist, you quantify over relations [Lewis]

6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism

17716

Mathematics is relations between properties we abstract from experience [Mares]