Gödel and Turing: we cannot use classical mathematics to build an interpreter that runs classical mathematics Church and Turing: we can use constructive mathematics to run constructive mathematics Minsky and Turing: we can use constructive mathematics to run classical mathematics
No! You can specify classical math in classical math, but you cannot implement (~run) all of it. You can build an interpreter for [resource bounded] computation, but not for math.
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That's what I said. I apologize for the confusion in switching the order of my sentence. Constructive math can only *specify* classical math, not run it.
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