Combining Texts

Ideas for 'works', 'A Survey of Metaphysics' and 'Realism in Mathematics'

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5 ideas

6. Mathematics / A. Nature of Mathematics / 1. Mathematics

4240	It might be argued that mathematics does not, or should not, aim at truth [Lowe]

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

10718

A natural number is a property of sets [Maddy, by Oliver]

6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism

4241	If there are infinite numbers and finite concrete objects, this implies that numbers are abstract objects [Lowe]

6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics

8756	Intuition doesn't support much mathematics, and we should question its reliability [Maddy, by Shapiro]

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

17733

We know mind-independent mathematical truths through sets, which rest on experience [Maddy, by Jenkins]