Combining Texts

All the ideas for 'fragments/reports', 'On Hippocrates and Plato' and 'Logicism, Some Considerations (PhD)'

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7 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers

13412

Obtaining numbers by abstraction is impossible - there are too many; only a rule could give them, in order [Benacerraf]

13413

We must explain how we know so many numbers, and recognise ones we haven't met before [Benacerraf]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers

13411

If numbers are basically the cardinals (Frege-Russell view) you could know some numbers in isolation [Benacerraf]

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism

13415

An adequate account of a number must relate it to its series [Benacerraf]

15. Nature of Minds / A. Nature of Mind / 1. Mind / d. Location of mind

6003	Galen showed by experiment that the brain controls the body [Galen, by Hankinson]

21. Aesthetics / C. Artistic Issues / 7. Art and Morality

468	Musical performance can reveal a range of virtues [Damon of Ath.]

23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues

6030	Each part of the soul has its virtue - pleasure for appetite, success for competition, and rectitude for reason [Galen]