Combining Texts

All the ideas for 'The Case for Closure', 'Review of Frege's 'Grundlagen'' and 'Wittgenstein's 'Tractatus Logico-Philosophicus''

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

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6 ideas

4. Formal Logic / A. Syllogistic Logic / 1. Aristotelian Logic

23505

Aristotelian logic cannot express 'Everyone loves someone' [White,RM]

6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers

9992	The 'extension of a concept' in general may be quantitatively completely indeterminate [Cantor]

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]