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Ideas for 'Mathematical Methods in Philosophy', 'Introduction to the Philosophy of Mathematics' and 'Maths as a Science of Patterns'

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3 ideas

4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL

6299	Axioms are often affirmed simply because they produce results which have been accepted [Resnik]

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

17925

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

17926

Rejecting double negation elimination undermines reductio proofs [Colyvan]