Combining Texts

All the ideas for 'Logicism, Some Considerations (PhD)', 'Explanation: the state of play' and 'On Hippocrates and Plato'

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9 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
Obtaining numbers by abstraction is impossible - there are too many; only a rule could give them, in order [Benacerraf]
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
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
An adequate account of a number must relate it to its series [Benacerraf]
14. Science / D. Explanation / 1. Explanation / b. Aims of explanation
Audience-relative explanation, or metaphysical explanation based on information? [Stanford]
Explanation is for curiosity, control, understanding, to make meaningful, or to give authority [Stanford]
14. Science / D. Explanation / 2. Types of Explanation / j. Explanations by reduction
We can explain by showing constitution, as well as showing causes [Stanford]
15. Nature of Minds / A. Nature of Mind / 1. Mind / d. Location of mind
Galen showed by experiment that the brain controls the body [Galen, by Hankinson]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
Each part of the soul has its virtue - pleasure for appetite, success for competition, and rectitude for reason [Galen]