Comments on `two undecidable problems of analysis'

Minds and Machines 13 (1):79-85 (2003)
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Abstract

We first discuss some technical questions which arise in connection with the construction of undecidable propositions in analysis, in particular in connection with the notion of the normal form of a function representing a predicate. Then it is stressed that while a function f(x) may be computable in the sense of recursive function theory, it may nevertheless have undecidable properties in the realm of Fourier analysis. This has an implication for a conjecture of Penrose's which states that classical physics is computable.

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Citations of this work

Undecidability through Fourier series.Peter Buser & Bruno Scarpellini - 2016 - Annals of Pure and Applied Logic 167 (7):507-524.

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References found in this work

The emperor’s new mind.Roger Penrose - 1989 - Oxford University Press.
Computability & unsolvability.Martin Davis - 1958 - New York: Dover Publications.
Theory of Formal Systems.Raymond M. Smullyan - 1965 - Journal of Symbolic Logic 30 (1):88-90.

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