Combining Texts

All the ideas for 'Lectures on the History of Philosophy', 'Must We Believe in Set Theory?' and 'Lectures on the Principles of Political Obligation'

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20 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
21757 Philosophy is the conceptual essence of the shape of history [Hegel]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
10482 The logic of ZF is classical first-order predicate logic with identity [Boolos]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
10492 A few axioms of set theory 'force themselves on us', but most of them don't [Boolos]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
10485 Naïve sets are inconsistent: there is no set for things that do not belong to themselves [Boolos]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
10484 The iterative conception says sets are formed at stages; some are 'earlier', and must be formed first [Boolos]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
10491 Infinite natural numbers is as obvious as infinite sentences in English [Boolos]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / f. Uncountable infinities
10483 Mathematics and science do not require very high orders of infinity [Boolos]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
10490 Mathematics isn't surprising, given that we experience many objects as abstract [Boolos]
8. Modes of Existence / D. Universals / 1. Universals
10488 It is lunacy to think we only see ink-marks, and not word-types [Boolos]
9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta
10487 I am a fan of abstract objects, and confident of their existence [Boolos]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
10489 We deal with abstract objects all the time: software, poems, mistakes, triangles.. [Boolos]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
23029 Knowledge is secured by the relations between its parts, through differences and identities [Green,TH, by Muirhead]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / a. Sovereignty
23046 States only have full authority if they heed the claims of human fellowship [Green,TH]
24. Political Theory / D. Ideologies / 6. Liberalism / d. Liberal freedom
23051 Equality also implies liberty, because equality must be of opportunity as well as possessions [Green,TH]
24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism
23028 The highest political efforts express our deeper social spirit [Green,TH, by Muirhead]
24. Political Theory / D. Ideologies / 9. Communism
23054 Communism is wrong because it restricts the freedom of individuals to contribute to the community [Green,TH, by Muirhead]
23047 Original common ownership is securing private property, not denying it [Green,TH, by Muirhead]
24. Political Theory / D. Ideologies / 14. Nationalism
23042 National spirit only exists in the individuals who embody it [Green,TH, by Muirhead]
25. Social Practice / C. Rights / 4. Property rights
23048 The ground of property ownership is not force but the power to use it for social ends [Green,TH, by Muirhead]
23049 Property is needed by all citizens, to empower them to achieve social goods [Green,TH]