Combining Texts

All the ideas for 'Philosophical Explanations', 'Russell' and 'There is No A Priori (and reply)'

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6 ideas

6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Russell needed three extra axioms to reduce maths to logic: infinity, choice and reducibility [Grayling]
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
Maybe knowledge is belief which 'tracks' the truth [Nozick, by Williams,M]
12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence
Two propositions might seem self-evident, but contradict one another [Grayling]
12. Knowledge Sources / A. A Priori Knowledge / 4. A Priori as Necessities
How could the mind have a link to the necessary character of reality? [Devitt]
12. Knowledge Sources / A. A Priori Knowledge / 11. Denying the A Priori
Some knowledge must be empirical; naturalism implies that all knowledge is like that [Devitt]
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]