Combining Texts

All the ideas for 'The Case for Closure', 'Steps Towards a Constructive Nominalism' and 'The Logical Basis of Metaphysics'

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6 ideas

5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / c. not
Classical negation is circular, if it relies on knowing negation-conditions from truth-conditions [Dummett]
8. Modes of Existence / E. Nominalism / 1. Nominalism / c. Nominalism about abstracta
We renounce all abstract entities [Goodman/Quine]
11. Knowledge Aims / B. Certain Knowledge / 2. Common Sense Certainty
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
How can we know the heavyweight implications of normal knowledge? Must we distort 'knowledge'? [Hawthorne]
We wouldn't know the logical implications of our knowledge if small risks added up to big risks [Hawthorne]
Denying closure is denying we know P when we know P and Q, which is absurd in simple cases [Hawthorne]