Combining Texts

All the ideas for 'works (all lost)', 'Notes on Logic' and 'Remarks on axiomatised set theory'

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11 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 / 4. Axioms for Sets / a. Axioms for sets
17879 Axiomatising set theory makes it all relative [Skolem]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
17878 If a 1st-order proposition is satisfied, it is satisfied in a denumerably infinite domain [Skolem]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
17880 Integers and induction are clear as foundations, but set-theory axioms certainly aren't [Skolem]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
17881 Mathematician want performable operations, not propositions about objects [Skolem]
7. Existence / D. Theories of Reality / 8. Facts / d. Negative facts
22312 Facts can be both positive and negative [Wittgenstein, by Potter]
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]