Combining Texts

All the ideas for 'The Case for Closure', 'Proof that every set can be well-ordered' and 'The Logical Structure of the World (Aufbau)'

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7 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / e. Countable infinity

15897

Zermelo realised that Choice would facilitate the sort of 'counting' Cantor needed [Zermelo, by Lavine]

11. Knowledge Aims / B. Certain Knowledge / 2. Common Sense Certainty

19553

Commitment to 'I have a hand' only makes sense in a context where it has been doubted [Hawthorne]

13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / c. Knowledge closure

19551

How can we know the heavyweight implications of normal knowledge? Must we distort 'knowledge'? [Hawthorne]

19552

We wouldn't know the logical implications of our knowledge if small risks added up to big risks [Hawthorne]

19554

Denying closure is denying we know P when we know P and Q, which is absurd in simple cases [Hawthorne]

14. Science / B. Scientific Theories / 1. Scientific Theory

18699

Carnap tried to define all scientific predicates in terms of primitive relations, using type theory [Carnap, by Button]

18. Thought / D. Concepts / 4. Structure of Concepts / g. Conceptual atomism

12131

All concepts can be derived from a few basics, making possible one science of everything [Carnap, by Brody]