Combining Texts

All the ideas for 'There is no a Priori', 'The Theory of Transfinite Numbers' and 'Apprehension: reason in absence of Rules'

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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]

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]

12. Knowledge Sources / A. A Priori Knowledge / 4. A Priori as Necessities

9354	Why should necessities only be knowable a priori? That Hesperus is Phosporus is known empirically [Devitt]

12. Knowledge Sources / A. A Priori Knowledge / 9. A Priori from Concepts

9353	We explain away a priori knowledge, not as directly empirical, but as indirectly holistically empirical [Devitt]

12. Knowledge Sources / A. A Priori Knowledge / 11. Denying the A Priori

9356	The idea of the a priori is so obscure that it won't explain anything [Devitt]

12. Knowledge Sources / E. Direct Knowledge / 1. Common Sense

22668

Apprehension is a complex intellect grasping the essence of a complex object [Holt,L]