Combining Texts

All the ideas for 'The Case for Closure', 'Platonism and the Spiritual Life' and 'Letters to Frege'

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9 ideas

5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / d. Russell's paradox

13365

Russell's Paradox is a stripped-down version of Cantor's Paradox [Priest,G on Russell]

10711

Russell's paradox means we cannot assume that every property is collectivizing [Potter on Russell]

8. Modes of Existence / B. Properties / 11. Properties as Sets

9127	Russell refuted Frege's principle that there is a set for each property [Russell, by Sorensen]

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]

18. Thought / C. Content / 6. Broad Content

7531	We don't assert private thoughts; the objects are part of what we assert [Russell]

22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature

23060

The good is not relative, but is rooted in facts about human needs [Santayana]