Combining Texts

All the ideas for 'works', 'On the Foundations of Logic and Arithmetic' and 'Modal and Anti-Luck Epistemology'

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5 ideas

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 / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
17697 The existence of an arbitrarily large number refutes the idea that numbers come from experience [Hilbert]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
17698 Logic already contains some arithmetic, so the two must be developed together [Hilbert]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / a. Justification issues
19729 'Modal epistemology' demands a connection between the belief and facts in possible worlds [Black,T]
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / b. Gettier problem
19728 Gettier and lottery cases seem to involve luck, meaning bad connection of beliefs to facts [Black,T]