Combining Texts

All the ideas for 'Introduction to 'Virtues of Authenticity'', 'On the Concept of Number' and 'On the Nature of Mathematical Reasoning'

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

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5 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite

15923

Poincaré rejected the actual infinite, claiming definitions gave apparent infinity to finite objects [Poincaré, by Lavine]

6. Mathematics / C. Sources of Mathematics / 7. Formalism

22293

Hilbert said (to block paradoxes) that mathematical existence is entailed by consistency [Hilbert, by Potter]

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]