Combining Texts

All the ideas for 'Of Miracles', 'Logicism, Some Considerations (PhD)' and 'Mr Strawson on Referring'

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8 ideas

1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
Common speech is vague; its vocabulary and syntax must be modified, for precision [Russell]
2. Reason / D. Definition / 11. Ostensive Definition
Empirical words need ostensive definition, which makes them egocentric [Russell]
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]
19. Language / C. Assigning Meanings / 9. Indexical Semantics
Science reduces indexicals to a minimum, but they can never be eliminated from empirical matters [Russell]
28. God / B. Proving God / 3. Proofs of Evidence / e. Miracles
It can't be more rational to believe in natural laws than miracles if the laws are not rational [Ishaq on Hume]