Combining Texts

All the ideas for 'Supervenience', 'Utopia' and 'The Art of the Infinite'

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19 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
15717 Using Choice, you can cut up a small ball and make an enormous one from the pieces [Kaplan/Kaplan]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
15712 1 and 0, then add for naturals, subtract for negatives, divide for rationals, take roots for irrationals [Kaplan/Kaplan]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
15711 The rationals are everywhere - the irrationals are everywhere else [Kaplan/Kaplan]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
15714 'Commutative' laws say order makes no difference; 'associative' laws say groupings make no difference [Kaplan/Kaplan]
15715 'Distributive' laws say if you add then multiply, or multiply then add, you get the same result [Kaplan/Kaplan]
7. Existence / C. Structure of Existence / 5. Supervenience / a. Nature of supervenience
16039 Supervenience: No A-difference without a B-difference [Bennett,K]
16043 Supervenience is non-symmetric - sometimes it's symmetric, and sometimes it's one-way [Bennett,K]
7. Existence / C. Structure of Existence / 5. Supervenience / b. Types of supervenience
16047 Weak supervenience is in one world, strong supervenience in all possible worlds [Bennett,K]
7. Existence / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience
16040 Aesthetics, morality and mind supervene on the physical? Modal on non-modal? General on particular? [Bennett,K]
16044 Some entailments do not involve supervenience, as when brotherhood entails siblinghood [Bennett,K]
16046 Reduction requires supervenience, but does supervenience suffice for reduction? [Bennett,K]
7. Existence / D. Theories of Reality / 6. Physicalism
16049 Definitions of physicalism are compatible with a necessary God [Bennett,K]
10. Modality / A. Necessity / 6. Logical Necessity
16042 The metaphysically and logically possible worlds are the same, so they are the same strength [Bennett,K]
14. Science / C. Induction / 3. Limits of Induction
15713 The first million numbers confirm that no number is greater than a million [Kaplan/Kaplan]
24. Political Theory / D. Ideologies / 3. Conservatism
7257 All modern social systems seem to be conspiracies of the rich [More,T]
24. Political Theory / D. Ideologies / 5. Democracy / d. Representative democracy
7254 If you try to get elected, you should be permanently barred from seeking office [More,T]
25. Social Practice / E. Policies / 1. War / a. Just wars
7255 Only Utopians fail to see glory in warfare [More,T]
25. Social Practice / F. Life Issues / 2. Euthanasia
7253 In Utopia, legal euthanasia is considered honourable [More,T]
28. God / C. Attitudes to God / 2. Pantheism
7256 In Utopia, the Supreme Being is identical with Nature [More,T]