Combining Texts

All the ideas for 'reports', 'Ontology and Mathematical Truth' and 'fragments/reports'

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15 ideas

1. Philosophy / D. Nature of Philosophy / 6. Hopes for Philosophy
1749 If all laws were abolished, philosophers would still live as they do now [Aristippus elder]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
9967 'Impure' sets have a concrete member, while 'pure' (abstract) sets do not [Jubien]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
9968 A model is 'fundamental' if it contains only concrete entities [Jubien]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / d. Natural numbers
9965 There couldn't just be one number, such as 17 [Jubien]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
9966 The subject-matter of (pure) mathematics is abstract structure [Jubien]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
9963 If we all intuited mathematical objects, platonism would be agreed [Jubien]
9962 How can pure abstract entities give models to serve as interpretations? [Jubien]
9964 Since mathematical objects are essentially relational, they can't be picked out on their own [Jubien]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
9969 The empty set is the purest abstract object [Jubien]
10. Modality / A. Necessity / 8. Transcendental Necessity
3016 Even the gods cannot strive against necessity [Pittacus, by Diog. Laertius]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / h. Against ethics
3558 Only the Cyrenaics reject the idea of a final moral end [Aristippus elder, by Annas]
22. Metaethics / C. The Good / 2. Happiness / d. Routes to happiness
5835 The road of freedom is the surest route to happiness [Aristippus elder, by Xenophon]
23. Ethics / A. Egoism / 3. Cyrenaic School
3018 People who object to extravagant pleasures just love money [Aristippus elder, by Diog. Laertius]
1751 Pleasure is the good, because we always seek it, it satisfies us, and its opposite is the most avoidable thing [Aristippus elder, by Diog. Laertius]
25. Social Practice / D. Justice / 3. Punishment / b. Retribution for crime
1755 Errors result from external influence, and should be corrected, not hated [Aristippus elder, by Diog. Laertius]