Combining Texts

All the ideas for 'Philosophical Explanations', 'The Web of Belief' and 'Rechnungsmethoden (dissertation)'

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5 ideas

1. Philosophy / F. Analytic Philosophy / 1. Nature of Analysis
Philosophers have given precise senses to deduction, probability, computability etc [Quine/Ullian]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
Quantity is inconceivable without the idea of addition [Frege]
6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
Geometry appeals to intuition as the source of its axioms [Frege]
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
Maybe knowledge is belief which 'tracks' the truth [Nozick, by Williams,M]
13. Knowledge Criteria / C. External Justification / 4. Tracking the Facts
A true belief isn't knowledge if it would be believed even if false. It should 'track the truth' [Nozick, by Dancy,J]