Combining Texts

All the ideas for 'Mathematics without Numbers', 'Philosophical Analysis' and 'Rationality and Virtue'

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8 ideas

1. Philosophy / F. Analytic Philosophy / 1. Nature of Analysis
Analysis aims at the structure of facts, which are needed to give a rationale to analysis [Urmson, by Schaffer,J]
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]
20. Action / C. Motives for Action / 3. Acting on Reason / a. Practical reason
Possessing the virtue of justice disposes a person to good practical rationality [Foot]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / h. Expressivism
Calling a knife or farmer or speech or root good does not involve attitudes or feelings [Foot]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / b. Basis of virtue
The essential thing is the 'needs' of plants and animals, and their operative parts [Foot]
23. Ethics / C. Virtue Theory / 3. Virtues / c. Justice
Observing justice is necessary to humans, like hunting to wolves or dancing to bees [Foot]