Combining Texts

All the ideas for 'The philosophical basis of intuitionist logic', 'On the spiritual perfection of life' and 'works'

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8 ideas

2. Reason / C. Styles of Reason / 1. Dialectic

22102

Arguing with opponents uncovers truths, and restrains falsehoods [Aquinas]

4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / h. System S5

7791	The simplest of the logics based on possible worlds is Lewis's S5 [Lewis,CI, by Girle]

4. Formal Logic / E. Nonclassical Logics / 2. Intuitionist Logic

18073

Dummett says classical logic rests on meaning as truth, while intuitionist logic rests on assertability [Dummett, by Kitcher]

5. Theory of Logic / G. Quantification / 1. Quantification

19057

Classical quantification is an infinite conjunction or disjunction - but you may not know all the instances [Dummett]

10. Modality / A. Necessity / 2. Nature of Necessity

11002

Equating necessity with informal provability is the S4 conception of necessity [Lewis,CI, by Read]

19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions

19055

Stating a sentence's truth-conditions is just paraphrasing the sentence [Dummett]

19056

If a sentence is effectively undecidable, we can never know its truth conditions [Dummett]

19. Language / A. Nature of Meaning / 6. Meaning as Use

19054

Meaning as use puts use beyond criticism, and needs a holistic view of language [Dummett]