Szabó, Máté (2017) Kalmár's Argument Against the Plausibility of Church's Thesis. [Preprint]
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Abstract
In his famous paper, An Unsolvable Problem of Elementary Number Theory, Alonzo Church (1936) identified the intuitive notion of effective calculability with the mathematically precise notion of recursiveness. This proposal, known as Church’s Thesis, has been widely accepted. Only a few papers have been written against it. One of these is László Kalmár’s An Argument Against the Plausibility of Church’s Thesis from 1959. The aim of this paper is to present Kalmár’s argument and to fill in missing details based on his general philosophical thoughts on mathematics.
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Item Type: | Preprint | ||||||
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Keywords: | Church's Thesis, Church Turing Thesis, History of Logic, László Kalmár | ||||||
Subjects: | Specific Sciences > Mathematics > Foundations Specific Sciences > Mathematics > Logic Specific Sciences > Computation/Information General Issues > History of Philosophy of Science |
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Depositing User: | Mate Szabo | ||||||
Date Deposited: | 21 May 2022 20:00 | ||||||
Last Modified: | 21 May 2022 20:00 | ||||||
Item ID: | 20636 | ||||||
Official URL: | https://www.tandfonline.com/doi/full/10.1080/01445... | ||||||
DOI or Unique Handle: | https://doi.org/10.1080/01445340.2017.1396520 | ||||||
Subjects: | Specific Sciences > Mathematics > Foundations Specific Sciences > Mathematics > Logic Specific Sciences > Computation/Information General Issues > History of Philosophy of Science |
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Date: | 2017 | ||||||
URI: | https://philsci-archive.pitt.edu/id/eprint/20636 |
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