Combining Texts

All the ideas for 'fragments/reports', 'Philosophy as a way of life' and 'Review of Chihara 'Struct. Accnt of Maths''

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10 ideas

1. Philosophy / D. Nature of Philosophy / 6. Hopes for Philosophy
9198 It is no longer possible to be a sage, but we can practice the exercise of wisdom [Hadot]
2. Reason / A. Nature of Reason / 2. Logos
9197 The logos represents a demand for universal rationality [Hadot]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
10185 Set theory is the standard background for modern mathematics [Burgess]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
10184 Structuralists take the name 'R' of the reals to be a variable ranging over structures, not a structure [Burgess]
10189 There is no one relation for the real number 2, as relations differ in different models [Burgess]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
10186 If set theory is used to define 'structure', we can't define set theory structurally [Burgess]
10187 Abstract algebra concerns relations between models, not common features of all the models [Burgess]
10188 How can mathematical relations be either internal, or external, or intrinsic? [Burgess]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
468 Musical performance can reveal a range of virtues [Damon of Ath.]
22. Metaethics / C. The Good / 3. Pleasure / b. Types of pleasure
9196 The pleasure of existing is the only genuine pleasure [Hadot]