Combining Texts

All the ideas for 'In Praed.', 'Mathematics without Numbers' and 'Introduction to 'Virtues of Authenticity''

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7 ideas

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism

8698	Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]

9557	Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]

10263

Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]

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]

9. Objects / B. Unity of Objects / 2. Substance / a. Substance

16776

Substance is an intrinsic thing, so parts of substances can't also be intrinsic things [Duns Scotus]

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

17944

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