Combining Texts

Ideas for 'Parmenides', 'Transworld Heir Lines' and 'Parts of Classes'

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4 ideas

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 / 1. Mathematical Platonism / a. For mathematical platonism

16150

One is, so numbers exist, so endless numbers exist, and each one must partake of being [Plato]