Combining Texts

All the ideas for 'The Case for Closure', 'Frege on Apriority' and 'Identity over Time'

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8 ideas

6. Mathematics / A. Nature of Mathematics / 2. Geometry
You can't simply convert geometry into algebra, as some spatial content is lost [Burge]
9. Objects / E. Objects over Time / 1. Objects over Time
If things change they become different - but then no one thing undergoes the change! [Gallois]
9. Objects / E. Objects over Time / 4. Four-Dimensionalism
4D: time is space-like; a thing is its history; past and future are real; or things extend in time [Gallois]
9. Objects / F. Identity among Objects / 6. Identity between Objects
If two things are equal, each side involves a necessity, so the equality is necessary [Gallois]
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]