Combining Texts

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

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6 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 / D. Assumptions for Logic / 3. Contradiction

10121

Contradiction is not a sign of falsity, nor lack of contradiction a sign of truth [Pascal]

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 / B. Certain Knowledge / 3. Fallibilism

19701

Fallibilism is consistent with dogmatism or scepticism, and is not alternative to them [Dougherty]

19700

It is best to see the fallibility in the reasons, rather than in the agents or the knowledge [Dougherty]

19702

We can't normally say that we know something 'but it might be false' [Dougherty]