Combining Texts

All the ideas for 'Realism in Mathematics', 'Two Chief World Systems' and 'The Decline of the West'

expand these ideas     |    start again     |     specify just one area for these texts

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6 ideas

4. Formal Logic / F. Set Theory ST / 7. Natural Sets

8755	Maddy replaces pure sets with just objects and perceived sets of objects [Maddy, by Shapiro]

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 / 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]

24. Political Theory / B. Nature of a State / 5. Culture

20948

Human cultures are organisms which grow, and then fade and die [Spengler, by Bowie]

27. Natural Reality / A. Classical Physics / 1. Mechanics / b. Laws of motion

19673

Galileo mathematised movement, and revealed its invariable component - acceleration [Galileo, by Meillassoux]