Combining Texts

All the ideas for 'Realism in Mathematics', 'Presidential Address of Am. Math. Soc' and 'Critique of the Gotha Program'

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10 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]
5. Theory of Logic / A. Overview of Logic / 2. History of Logic
10247 We have no adequate logic at the moment, so mathematicians must create one [Veblen]
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 / C. Ruling a State / 4. Changing the State / c. Revolution
22971 In moving from capitalism to communism a revolutionary dictatorship of the proletariat is needed [Marx]
24. Political Theory / D. Ideologies / 9. Communism
22000 From each according to his ability, to each according to his need [Marx]
22969 People who only have their labour power are the slaves of those permitting them to work [Marx]
22970 Freedom is making the state subordinate to its society [Marx]
25. Social Practice / A. Freedoms / 2. Freedom of belief
22972 Bourgeois 'freedom of conscience' just tolerates all sorts of religious intolerance [Marx]