Combining Texts

All the ideas for 'Introduction to 'Virtues of Authenticity'', 'On the Concept of Number' and 'On Relations of Universals and Particulars'

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6 ideas

6. Mathematics / C. Sources of Mathematics / 7. Formalism
Hilbert said (to block paradoxes) that mathematical existence is entailed by consistency [Hilbert, by Potter]
7. Existence / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience
General facts supervene on particular facts, but cannot be inferred from them [Russell, by Bennett,K]
8. Modes of Existence / B. Properties / 13. Tropes / b. Critique of tropes
Trope theorists cannot explain how tropes resemble each other [Russell, by Mumford]
8. Modes of Existence / D. Universals / 6. Platonic Forms / a. Platonic Forms
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
Only Tallness really is tall, and other inferior tall things merely participate in the tallness [Nehamas]
11. Knowledge Aims / A. Knowledge / 2. Understanding
'Episteme' is better translated as 'understanding' than as 'knowledge' [Nehamas]