Combining Texts

All the ideas for 'Logicism, Some Considerations (PhD)', 'Vague Identity: Evans misunderstood' and 'The Truth in Relativism'

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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]
7. Existence / D. Theories of Reality / 10. Vagueness / d. Vagueness as linguistic
Semantic vagueness involves alternative and equal precisifications of the language [Lewis]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / f. Ethical non-cognitivism
If moral systems can't judge other moral systems, then moral relativism is true [Williams,B, by Foot]