Combining Texts

All the ideas for 'Letters to Edward Stillingfleet', 'The Theory of Transfinite Numbers' and 'On Platonism in Mathematics'

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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]

4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory

10304

Very few things in set theory remain valid in intuitionist mathematics [Bernays]

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]

6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism

10303

Restricted Platonism is just an ideal projection of a domain of thought [Bernays]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique

10306

Mathematical abstraction just goes in a different direction from logic [Bernays]

9. Objects / D. Essence of Objects / 3. Individual Essences

15990

Every individual thing which exists has an essence, which is its internal constitution [Locke]

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

15994

If it is knowledge, it is certain; if it isn't certain, it isn't knowledge [Locke]