This article on the Stanford Encyclopedia of Philosophy describes "Church's type theory", i.e. the simply typed lambda calculus together with a set of inference rules and a set of axioms which turn it into a logical system capable of stating and proving mathematical propositions. How strong is this system, relative to more commonly used systems such as ZFC? Would it suffice as a foundation for mathematics?
2026-03-30 16:24:22.1774887862
How strong is Church's type theory?
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