Combining Texts

All the ideas for 'Letters to Edward Stillingfleet', 'Defending the Axioms' and 'works'

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20 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
17610 The Axiom of Choice paradoxically allows decomposing a sphere into two identical spheres [Maddy]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
17620 Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
17605 Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy]
17625 If two mathematical themes coincide, that suggest a single deep truth [Maddy]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
17615 Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
17618 Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
17614 The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy]
9. Objects / D. Essence of Objects / 3. Individual Essences
15990 Every individual thing which exists has an essence, which is its internal constitution [Locke]
11. Knowledge Aims / B. Certain Knowledge / 1. Certainty
15994 If it is knowledge, it is certain; if it isn't certain, it isn't knowledge [Locke]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention
23874 Armies and businesses create moralities in which their activity can do no wrong [Marx, by Weil]
24. Political Theory / D. Ideologies / 6. Liberalism / d. Liberal freedom
18662 Liberal freedom is the right to be separate, and ignores the union of man with man [Marx]
24. Political Theory / D. Ideologies / 6. Liberalism / g. Liberalism critique
23372 Liberals want the right to be separate, rather than for people to be united [Marx]
24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism
20576 Early Marx anticipates communitarian objections to liberalism [Marx, by Oksala]
24. Political Theory / D. Ideologies / 9. Communism
23862 By saying the material dialectic of history aspires to the best, Marx agreed with capitalism [Weil on Marx]
21999 False consciousness results from concealment by the superstructure [Marx, by Singer]
23875 Marx says force is everything, and that the weak will become strong, while remaining the weak [Weil on Marx]
18653 Marx rejected equal rights because they never actually treat people as equals [Marx, by Kymlicka]
24. Political Theory / D. Ideologies / 11. Capitalism
20958 Capitalism changes the world, by socialising the idea of a commodity [Marx, by Bowie]
23876 The essence of capitalism is the subordination of people to things [Marx, by Weil]
20960 Marx thought capitalism was partly liberating, and could make labour and ownership more humane [Marx, by Bowie]