Combining Texts

All the ideas for 'Ethical Studies', 'Identity and Reference' and 'Logicism, Some Considerations (PhD)'

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6 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]
18. Thought / B. Mechanics of Thought / 5. Mental Files
An identity statement aims at getting the hearer to merge two mental files [Lockwood]
22. Metaethics / C. The Good / 2. Happiness / d. Routes to happiness
Happiness is not satisfaction of desires, but fulfilment of values [Bradley, by Scruton]