Combining Texts

All the ideas for 'The Case for Closure', 'fragments/reports' and 'Frege on Apriority (with ps)'

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11 ideas

6. Mathematics / A. Nature of Mathematics / 2. Geometry

16901

The equivalent algebra model of geometry loses some essential spatial meaning [Burge]

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic

16902

Peano arithmetic requires grasping 0 as a primitive number [Burge]

7. Existence / A. Nature of Existence / 3. Being / a. Nature of Being

12270

Being is one [Melissus, by Aristotle]

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]

12. Knowledge Sources / A. A Priori Knowledge / 1. Nature of the A Priori

16892

Is apriority predicated mainly of truths and proofs, or of human cognition? [Burge]

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]

27. Natural Reality / A. Classical Physics / 1. Mechanics / a. Explaining movement

3059	There is no real motion, only the appearance of it [Melissus, by Diog. Laertius]

27. Natural Reality / C. Space / 1. Void

5100	The void is not required for change, because a plenum can alter in quality [Aristotle on Melissus]

27. Natural Reality / E. Cosmology / 2. Eternal Universe

456	Nothing could come out of nothing [Melissus]