Combining Texts

All the ideas for 'On Duties ('De Officiis')', 'On Platonism in Mathematics' and 'works'

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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 / 8. Critique of Set Theory

10304

Very few things in set theory remain valid in intuitionist mathematics [Bernays]

5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle

15941

For intuitionists excluded middle is an outdated historical convention [Brouwer]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / h. Reals from Cauchy

18247

Brouwer saw reals as potential, not actual, and produced by a rule, or a choice [Brouwer, by Shapiro]

6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism

10303

Restricted Platonism is just an ideal projection of a domain of thought [Bernays]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique

10306

Mathematical abstraction just goes in a different direction from logic [Bernays]

23. Ethics / D. Deontological Ethics / 3. Universalisability

6031	The essence of propriety is consistency [Cicero]