Combining Texts

All the ideas for 'works', 'Continuity and Irrational Numbers' and 'Modal and Anti-Luck Epistemology'

expand these ideas     |    start again     |     specify just one area for these texts

7 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
17611 We want the essence of continuity, by showing its origin in arithmetic [Dedekind]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts
10572 A cut between rational numbers creates and defines an irrational number [Dedekind]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
17612 Arithmetic is just the consequence of counting, which is the successor operation [Dedekind]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
18087 If x changes by less and less, it must approach a limit [Dedekind]
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]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
22086 The most important aspect of a human being is not reason, but passion [Kierkegaard, by Carlisle]