Combining Texts

All the ideas for 'The Case for Closure', 'On Copernicanism and Relativity of Motion' and 'Set Theory and its Logic'

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7 ideas

3. Truth / A. Truth Problems / 8. Subjective Truth
Choose the true hypothesis, which is the most intelligible one [Leibniz]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
Reducibility undermines type ramification, and is committed to the existence of functions [Quine, by Linsky,B]
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]
14. Science / D. Explanation / 3. Best Explanation / a. Best explanation
The Copernican theory is right because it is the only one offering a good explanation [Leibniz]