Combining Texts

All the ideas for 'Mathematics without Numbers', 'Aristotle and Kant on the Source of Value' and 'The Reality of Numbers'

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9 ideas

3. Truth / B. Truthmakers / 1. For Truthmakers
Truth and falsehood must track what does or doesn't exist [Bigelow]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]
Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]
Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]
22. Metaethics / B. Value / 1. Nature of Value / f. Ultimate value
An end can't be an ultimate value just because it is useless! [Korsgaard]
If we can't reason about value, we can reason about the unconditional source of value [Korsgaard]
22. Metaethics / C. The Good / 1. Goodness / b. Types of good
Goodness is given either by a psychological state, or the attribution of a property [Korsgaard]
23. Ethics / C. Virtue Theory / 3. Virtues / g. Contemplation
Contemplation is final because it is an activity which is not a process [Korsgaard]
For Aristotle, contemplation consists purely of understanding [Korsgaard]