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      Logic Colloquium 2000 

      Notions of computability at higher types I

      edited-book
      Cambridge University Press

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          Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I

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            A formulation of the simple theory of types

            The purpose of the present paper is to give a formulation of the simple theory of types which incorporates certain features of the calculus of λ-conversion. A complete incorporation of the calculus of λ-conversion into the theory of types is impossible if we require that λx and juxtaposition shall retain their respective meanings as an abstraction operator and as denoting the application of function to argument. But the present partial incorporation has certain advantages from the point of view of type theory and is offered as being of interest on this basis (whatever may be thought of the finally satisfactory character of the theory of types as a foundation for logic and mathematics).
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              An Unsolvable Problem of Elementary Number Theory

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                Book Chapter
                June 27 2017
                : 32-142
                10.1017/9781316755884.004
                a825fd04-fa0e-402a-a4f9-d539d6b76b7f
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