Combining Texts

All the ideas for 'Buddhacarita', 'Moral Beliefs' and 'Knowledge and the Philosophy of Number'

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15 ideas

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]
16. Persons / E. Rejecting the Self / 4. Denial of the Self
7906 When the Buddha reached the highest level of insight, he could detect no self in the world [Ashvaghosha]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / e. Ethical cognitivism
23683 Moral norms are objective, connected to facts about human goods [Foot, by Hacker-Wright]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / b. Rational ethics
23684 Morality gives everyone reasons to act, irrespective of their desires [Foot, by Hacker-Wright]
23690 We all have reason to cultivate the virtues, even when we lack the desire [Foot, by Hacker-Wright]
22. Metaethics / C. The Good / 1. Goodness / b. Types of good
22379 The meaning of 'good' and other evaluations must include the object to which they attach [Foot]
29. Religion / C. Spiritual Disciplines / 3. Buddhism
7904 The first stage of trance is calm amidst applied and discursive thinking [Ashvaghosha]
7905 The Buddha sought ultimate reality and the final goal of existence in his meditations [Ashvaghosha]