Combining Texts

All the ideas for 'The Case for Closure', 'Chapters on Scepticism' and 'Mathematics and Philosophy: grand and little'

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

11 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / e. Philosophy as reason
9808 Philosophy aims to reveal the grandeur of mathematics [Badiou]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
9812 In mathematics, if a problem can be formulated, it will eventually be solved [Badiou]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
9813 Mathematics shows that thinking is not confined to the finite [Badiou]
7. Existence / A. Nature of Existence / 3. Being / a. Nature of Being
9809 Mathematics inscribes being as such [Badiou]
7. Existence / A. Nature of Existence / 6. Criterion for Existence
9811 It is of the essence of being to appear [Badiou]
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]
15. Nature of Minds / A. Nature of Mind / 4. Other Minds / b. Scepticism of other minds
1799 If we can't know minds, we can't know if Pyrrho was a sceptic [Theodosius, by Diog. Laertius]
21. Aesthetics / B. Nature of Art / 8. The Arts / b. Literature
9814 All great poetry is engaged in rivalry with mathematics [Badiou]