Combining Texts

All the ideas for 'Why coherence is not enough', 'Expositio super viii libros' and 'The Theory of Transfinite Numbers'

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7 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory

9616	A set is a collection into a whole of distinct objects of our intuition or thought [Cantor]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / f. Uncountable infinities

15896

Cantor needed Power Set for the reals, but then couldn't count the new collections [Cantor, by Lavine]

11. Knowledge Aims / A. Knowledge / 1. Knowledge

9089	Knowledge is a quality existing subjectively in the soul [William of Ockham]

9091	Sometimes 'knowledge' just concerns the conclusion, sometimes the whole demonstration [William of Ockham]

11. Knowledge Aims / B. Certain Knowledge / 1. Certainty

9090	Knowledge is certain cognition of something that is true [William of Ockham]

13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / a. Agrippa's trilemma

8840	There are five possible responses to the problem of infinite regress in justification [Cleve]

13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / a. Foundationalism

8841	Modern foundationalists say basic beliefs are fallible, and coherence is relevant [Cleve]