Combining Texts

All the ideas for 'fragments/reports', 'On Anger (Book 3)' and 'Knowledge and the Philosophy of Number'

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

13 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]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
468 Musical performance can reveal a range of virtues [Damon of Ath.]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
13554 True greatness is never allowing events to disturb you [Seneca]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
13556 Every night I critically review how I have behaved during the day [Seneca]
23. Ethics / C. Virtue Theory / 3. Virtues / b. Temperance
13553 Anger is a vice which afflicts good men as well as bad [Seneca]
13552 Anger is an extreme vice, threatening sanity, and gripping whole states [Seneca]