Combining Texts

All the ideas for 'The Case for Closure', 'Natural Science (lost)' and 'Universal Arithmetick'

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

---

6 ideas

6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic

17783

A number is not a multitude, but a unified ratio between quantities [Newton]

7. Existence / A. Nature of Existence / 6. Criterion for Existence

527	Everything exists which anyone perceives [Metrodorus of Chios]

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]