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    Formalist, Platonic, and intuitionistic views of mathemat... — Carmelics
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    Supports→The theory of computing occupies common ground among competing mathematical philosophies (Formalism, Platonism, Intuitionism)

    Formalist, Platonic, and intuitionistic views of mathematics each overlap on finitistic, constructivist ground

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    Adherents of any of these mathematical philosophies can agree on what effective ...Computing theory is finitistic and constructivist in natureThe theory of computing occupies common ground among competing mathematical phil...

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    A Formalist, Platonic, or intuitionistic view of mathematics can each ...79%Computing theory is finitistic and constructivist in nature79%Hilbert's formalist approach prevailing over intuitionism demonstrates...78%This correspondence generalises to encompass intuitionist arithmetic (...74%

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    If we look at the foundations of information and computation there are two notions that are crucial: the concept of a data set and the concept of an algorithm. Once we accept these notions as fundamental the rest of the theory data and computation unfolds quite naturally. One can “plug in” one’s favorite epistemological or metaphysical stance here, but this does not really affect foundational issues in the philosophy of computation and information. One might sustain a Formalist, Platonic or intu

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