Combining Texts

All the ideas for 'fragments/reports', 'Realism in Mathematics' and 'The Road to Serfdom'

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8 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 / 3. Axioms for Geometry
13007 Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]
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 / D. Ideologies / 8. Socialism
20575 Socialist economics needs a very strong central power, virtually leading to slavery [Hayek, by Oksala]
25. Social Practice / A. Freedoms / 4. Free market
22599 Hayek was a liberal, but mainly concerned with market freedom [Hayek, by Dunt]
22600 Impeding the market is likely to lead to extensive state control [Hayek]