Combining Texts

All the ideas for 'Letters to Edward Stillingfleet', 'The Theory of Transfinite Numbers' and 'Ancient Philosophy: very short introduction'

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8 ideas

1. Philosophy / C. History of Philosophy / 2. Ancient Philosophy / b. Pre-Socratic philosophy

12036

Xenophanes began the concern with knowledge [Annas]

1. Philosophy / C. History of Philosophy / 2. Ancient Philosophy / c. Classical philosophy

12046

Plato was the first philosopher who was concerned to systematize his ideas [Annas]

4. Formal Logic / F. Set Theory ST / 1. Set Theory

9616	A set is a collection into a whole of distinct objects of our intuition or thought [Cantor]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / f. Uncountable infinities

15896

Cantor needed Power Set for the reals, but then couldn't count the new collections [Cantor, by Lavine]

9. Objects / D. Essence of Objects / 3. Individual Essences

15990

Every individual thing which exists has an essence, which is its internal constitution [Locke]

11. Knowledge Aims / B. Certain Knowledge / 1. Certainty

15994

If it is knowledge, it is certain; if it isn't certain, it isn't knowledge [Locke]

22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / b. Rational ethics

12037

Euripides's Medea is a key case of reason versus the passions [Annas]

23. Ethics / C. Virtue Theory / 1. Virtue Theory / a. Nature of virtue

12040

Virtue is a kind of understanding of moral value [Annas]