Combining Texts

All the ideas for 'fragments/reports', 'Knowledge and the Philosophy of Number' and 'Straw Dogs'

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18 ideas

1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
9271 Human knowledge may not produce well-being; the examined life may not be worth living [Gray]
2. Reason / C. Styles of Reason / 1. Dialectic
20768 Like spiderswebs, dialectical arguments are clever but useless [Ariston, by Diog. Laertius]
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]
13. Knowledge Criteria / C. External Justification / 9. Naturalised Epistemology
9275 Knowledge does not need minds or nervous systems; it is found in all living things [Gray]
16. Persons / F. Free Will / 5. Against Free Will
9276 The will hardly ever does anything; most of our life just happens to us [Gray]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / f. The Mean
3049 The chief good is indifference to what lies midway between virtue and vice [Ariston, by Diog. Laertius]
23. Ethics / D. Deontological Ethics / 1. Deontology
3549 Ariston says rules are useless for the virtuous and the non-virtuous [Ariston, by Annas]
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
9278 Nowadays we identify the free life with the good life [Gray]
27. Natural Reality / G. Biology / 4. Ecology
9280 Over forty percent of the Earth's living tissue is human [Gray]
29. Religion / B. Monotheistic Religion / 4. Christianity / a. Christianity
9272 Without Christianity we lose the idea that human history has a meaning [Gray]
9279 What was our original sin, and how could Christ's suffering redeem it? [Gray]