Combining Texts

Ideas for 'Thinking About Mathematics', 'Intensional Logic' and 'The Semantic Conception of Truth'

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5 ideas

5. Theory of Logic / A. Overview of Logic / 8. Logic of Mathematics

11026

Classical logic is deliberately extensional, in order to model mathematics [Fitting]

5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle

19192

The truth definition proves semantic contradiction and excluded middle laws (not the logic laws) [Tarski]

8729	Intuitionists deny excluded middle, because it is committed to transcendent truth or objects [Shapiro]

5. Theory of Logic / F. Referring in Logic / 3. Property (λ-) Abstraction

11028

λ-abstraction disambiguates the scope of modal operators [Fitting]

5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox

19187

The Liar makes us assert a false sentence, so it must be taken seriously [Tarski]