Combining Philosophers

Ideas for Moses Schönfinkel, Mark Colyvan and Alain Badiou

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4 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 / 2. Mechanics of Set Theory / b. Terminology of ST

12337

There is 'transivity' iff membership ∈ also means inclusion ⊆ [Badiou]

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX

12321

The axiom of choice must accept an indeterminate, indefinable, unconstructible set [Badiou]