Combining Texts

Ideas for 'Through the Looking Glass', 'Introduction to the Philosophy of Mathematics' and 'The Development of Logic'

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3 ideas

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

17926

Rejecting double negation elimination undermines reductio proofs [Colyvan]

17925

Showing a disproof is impossible is not a proof, so don't eliminate double negation [Colyvan]

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V

10051

The axiom of infinity is not a truth of logic, and its adoption is an abandonment of logicism [Kneale,W and M]