Combining Texts

All the ideas for 'Necessary Existents', 'The Case for Closure' and 'Mathematics, Science and Language'

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7 ideas

6. Mathematics / A. Nature of Mathematics / 1. Mathematics

18119

Mathematics is a mental activity which does not use language [Brouwer, by Bostock]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics

18118

Brouwer regards the application of mathematics to the world as somehow 'wicked' [Brouwer, by Bostock]

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]

19. Language / D. Propositions / 3. Concrete Propositions

19216

Propositions (such as 'that dog is barking') only exist if their items exist [Williamson]