Combining Texts

Ideas for 'Frege's Theory of Numbers', 'The Metaphysics of Scientific Realism' and 'The Tarskian Turn'

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3 ideas

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

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Mathematics is the formal study of the categorical dimensions of things [Ellis]

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

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

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