Combining Texts

All the ideas for 'Introduction to 'Virtues of Authenticity'', 'Proof that every set can be well-ordered' and 'Letter to Weber'

expand these ideas     |    start again     |     specify just one area for these texts

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5 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts

18244

I say the irrational is not the cut itself, but a new creation which corresponds to the cut [Dedekind]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / e. Countable infinity

15897

Zermelo realised that Choice would facilitate the sort of 'counting' Cantor needed [Zermelo, by Lavine]

8. Modes of Existence / D. Universals / 6. Platonic Forms / a. Platonic Forms

17945

Forms are not a theory of universals, but an attempt to explain how predication is possible [Nehamas]

8. Modes of Existence / D. Universals / 6. Platonic Forms / b. Partaking

17946

Only Tallness really is tall, and other inferior tall things merely participate in the tallness [Nehamas]

11. Knowledge Aims / A. Knowledge / 2. Understanding

17944

'Episteme' is better translated as 'understanding' than as 'knowledge' [Nehamas]