Combining Texts

All the ideas for 'Possible Worlds', 'Knowledge and the Philosophy of Number' and 'Gravity and Grace (9 extracts)'

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20 ideas

3. Truth / A. Truth Problems / 3. Value of Truth
23825 We seek truth only because it is good [Weil]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
23623 Predicativism says only predicated sets exist [Hossack]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
23624 The iterative conception has to appropriate Replacement, to justify the ordinals [Hossack]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
23625 Limitation of Size justifies Replacement, but then has to appropriate Power Set [Hossack]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / d. and
23628 The connective 'and' can have an order-sensitive meaning, as 'and then' [Hossack]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
23627 'Before' and 'after' are not two relations, but one relation with two orders [Hossack]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / h. Ordinal infinity
23626 Transfinite ordinals are needed in proof theory, and for recursive functions and computability [Hossack]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
23621 Numbers are properties, not sets (because numbers are magnitudes) [Hossack]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
23622 We can only mentally construct potential infinities, but maths needs actual infinities [Hossack]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
15793 We can take 'ways things might have been' as irreducible elements in our ontology [Stalnaker, by Lycan]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / a. Idealistic ethics
23826 Beauty, goodness and truth are only achieved by applying full attention [Weil]
22. Metaethics / C. The Good / 1. Goodness / a. Form of the Good
23833 The good is a nothingness, and yet real [Weil]
23808 There are two goods - the absolute good we want, and the reachable opposite of evil [Weil]
24. Political Theory / C. Ruling a State / 1. Social Power
23831 The essence of power is illusory prestige [Weil]
24. Political Theory / D. Ideologies / 1. Ideology
23830 A group is only dangerous if it endorses an abstract entity [Weil]
24. Political Theory / D. Ideologies / 2. Anarchism
23809 Our only social duty is to try to limit evil [Weil]
24. Political Theory / D. Ideologies / 9. Communism
23807 The collective is the one and only object of false idolatry [Weil]
24. Political Theory / D. Ideologies / 14. Nationalism
23810 Charity is the only love, and you can feel that for a country (a place with traditions), but not a nation [Weil]
25. Social Practice / A. Freedoms / 1. Slavery
23811 If effort is from necessity rather than for a good, it is slavery [Weil]
29. Religion / D. Religious Issues / 2. Immortality / b. Soul
23765 The soul is the intrinsic value of a human [Weil]