Combining Texts

All the ideas for 'works', 'Against the Mathematicians' and 'The Theory of Transfinite Numbers'

expand these ideas     |    start again     |     specify just one area for these texts

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5 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]

5. Theory of Logic / G. Quantification / 2. Domain of Quantification

17743

De Morgan introduced a 'universe of discourse', to replace Boole's universe of 'all things' [De Morgan, by Walicki]

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]

13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / b. Basic beliefs

20795

Some things are their own criterion, such as straightness, a set of scales, or light [Sext.Empiricus]

13. Knowledge Criteria / D. Scepticism / 6. Scepticism Critique

20794

How can sceptics show there is no criterion? Weak without, contradiction with [Sext.Empiricus]