Combining Texts

All the ideas for 'On Duties ('De Officiis')', 'works' and 'On the General Idea of Proof Theory'

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8 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
21405 Cicero sees wisdom in terms of knowledge, but earlier Stoics saw it as moral [Cicero, by Long]
1. Philosophy / A. Wisdom / 2. Wise People
20871 Unfortunately we choose a way of life before we are old enough to think clearly [Cicero]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
3340 Von Neumann defines each number as the set of all smaller numbers [Neumann, by Blackburn]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
3355 Von Neumann wanted mathematical functions to replace sets [Neumann, by Benardete,JA]
5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
13827 Logical consequence isn't a black box (Tarski's approach); we should explain how arguments work [Prawitz]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
13826 Model theory looks at valid sentences and consequence, but not how we know these things [Prawitz]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
22716 Von Neumann defined ordinals as the set of all smaller ordinals [Neumann, by Poundstone]
23. Ethics / D. Deontological Ethics / 3. Universalisability
6031 The essence of propriety is consistency [Cicero]