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Book ChapterDOI

Kalmár and Péter: Undecidability as a Consequence of Incompleteness

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TLDR
The only available document of Laszlo Kalmar and Peter Rozsa's joint work is Kalmar's sketch of the proof in his, and a paper is assembled from Kalmar’s manuscripts on this issue.
Abstract
Laszlo Kalmar and Peter Rozsa “proved that the existence of (...) undecidable problems follows from Godel’s Theorem on relatively undecidable problems” ([6], p. vii). Unfortunately, the only available document of their joint work is Kalmar’s sketch of the proof in his [3]. In the following, I assemble a paper from Kalmar’s manuscripts on this issue.

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Journal ArticleDOI

Kalmár's Argument Against the Plausibility of Church's Thesis

TL;DR: In this paper, the authors present Kalmar's argument and fill in missing details based on his general philosophical thoughts on mathematics, and present a solution to the question of the plausibility of Church's Thesis.

03 A 05 Philosophical and critical aspects of logic and foundations 03 D 10 Turing machines and related notions

TL;DR: In this paper , the authors present Kalmár's argument against the plausibility of Church's Thesis and fill in missing details based on his general philosophical thoughts on mathematics.
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