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All the ideas for '04: Gospel of St John', 'Logicism, Some Considerations (PhD)' and 'The Web of Belief'

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7 ideas

1. Philosophy / F. Analytic Philosophy / 1. Nature of Analysis

8460	Philosophers have given precise senses to deduction, probability, computability etc [Quine/Ullian]

2. Reason / A. Nature of Reason / 2. Logos

6294	In the beginning was the Word, and the Word was with God, and the word was God [John]

3. Truth / A. Truth Problems / 2. Defining Truth

8821	Jesus said he bore witness to the truth. Pilate asked, What is truth? [John]

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]