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Can we express every transfinite concept constructively?

Bhupinder Singh Anand
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Abstract

In a forthcoming book, professional computer scientist and physicist Paul Budnik presents an exposition of classical mathematical theory as the backdrop to an elegant thesis: we can interpret any model of a formal system of Peano Arithmetic in an appropriate, digital, computational language. In this paper we attempt - without addressing the question of whether or not Budnik succeeds in establishing his thesis convincingly - to identify dogmas of standard interpretations of classical mathematical theory that appear to be implicit in Budnik's exposition, and to correspond to them dogmas of a constructive interpretation of classical theory.

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Bhupinder Singh Anand. 2003-05-17. Can we express every transfinite concept constructively?. https://arxiv.org/abs/math/0305249

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