Combining Texts

All the ideas for 'fragments/reports', 'Logicism, Some Considerations (PhD)' and 'On the Basis of Morality'

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8 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]

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

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

22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / b. Rational ethics

21375

Reason can be vicious, and great crimes have to be rational [Schopenhauer]

22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature

21379

Man's three basic ethical incentives are egoism, malice and compassion [Schopenhauer]

25. Social Practice / F. Life Issues / 6. Animal Rights

21376

Philosophy treats animals as exploitable things, ignoring the significance of their lives [Schopenhauer]