Combining Texts

All the ideas for 'The Case against Closure (and reply)', 'What Metaphors Mean' and 'On the Nature of Mathematical Reasoning'

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11 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite

15923

Poincaré rejected the actual infinite, claiming definitions gave apparent infinity to finite objects [Poincaré, by Lavine]

13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / c. Knowledge closure

19544

Closure says if you know P, and also know P implies Q, then you must know Q [Dretske]

19545

We needn't regret the implications of our regrets; regretting drinking too much implies the past is real [Dretske]

19546

Knowing by visual perception is not the same as knowing by implication [Dretske]

19547

Reasons for believing P may not transmit to its implication, Q [Dretske]

19548

The only way to preserve our homely truths is to abandon closure [Dretske]

19549

P may imply Q, but evidence for P doesn't imply evidence for Q, so closure fails [Dretske]

19550

We know past events by memory, but we don't know the past is real (an implication) by memory [Dretske]

19. Language / F. Communication / 6. Interpreting Language / d. Metaphor

7777	We accept a metaphor when we see the sentence is false [Davidson]

7776	Metaphors just mean what their words literally mean [Davidson]

7775	Understanding a metaphor is a creative act, with no rules [Davidson]