Combining Texts

All the ideas for 'The Case for Closure', 'Introduction to 'Hippias Minor'' and 'Chomsky on himself'

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


6 ideas

6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
A mathematical object exists if there is no contradiction in its definition [Waterfield]
11. Knowledge Aims / B. Certain Knowledge / 2. Common Sense Certainty
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
How can we know the heavyweight implications of normal knowledge? Must we distort 'knowledge'? [Hawthorne]
We wouldn't know the logical implications of our knowledge if small risks added up to big risks [Hawthorne]
Denying closure is denying we know P when we know P and Q, which is absurd in simple cases [Hawthorne]
18. Thought / D. Concepts / 2. Origin of Concepts / c. Nativist concepts
Chomsky now says concepts are basically innate, as well as syntax [Chomsky, by Lowe]