Combining Texts

All the ideas for 'Capitalism and Community', 'The Fragmentation of Value' and 'Must We Believe in Set Theory?'

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

16 ideas

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]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / d. Ethical theory
3284 There is no one theory of how to act (or what to believe) [Nagel]
24. Political Theory / D. Ideologies / 11. Capitalism
22252 Capitalism may actually be the best way to foster community [Conway,D]
22253 Capitalism is just the market, with optional limited government, and perhaps democracy [Conway,D]
22256 Capitalism prefers representative democracy, which avoids community decision-making [Conway,D]
22255 Capitalism breaks up extended families, and must then provide welfare for the lonely people [Conway,D]
22257 Capitalism is anti-community, by only valuing individuals, and breaking up families [Conway,D]