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On the Provability, Veracity, and AI-Relevance of the Church-Turing Thesis

In A. Olszewski, J. Wole'nski & R. Janusz (eds.), Church's Thesis After Seventy Years. Ontos Verlag. pp. 68-118 (2006)

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  1. Sophisticated knowledge representation and reasoning requires philosophy.Selmer Bringsjord, Micah Clark & Joshua Taylor - forthcoming - In Ruth Hagengruber (ed.), Philosophy's Relevance in Information Science.
    Knowledge Representation and Reasoning (KR&R) is based on the idea that propositional content can be rigorously represented in formal languages long the province of logic, in such a way that these representations can be productively reasoned over by humans and machines; and that this reasoning can be used to produce knowledge-based systems (KBSs). As such, KR&R is a discipline conventionally regarded to range across parts of artificial intelligence (AI), computer science, and especially logic. This standard view of KR&R’s participating fields (...)
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  • In Defense of the Unprovability of the Church-Turing Thesis.Selmer Bringsjord - unknown
    One of us has previously argued that the Church-Turing Thesis (CTT), contra Elliot Mendelson, is not provable, and is — light of the mind’s capacity for effortless hypercomputation — moreover false (e.g., [13]). But a new, more serious challenge has appeared on the scene: an attempt by Smith [28] to prove CTT. His case is a clever “squeezing argument” that makes crucial use of Kolmogorov-Uspenskii (KU) machines. The plan for the present paper is as follows. After covering some necessary preliminaries (...)
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  • Continuities and Discontinuities Between Humans, Intelligent Machines, and Other Entities.Johnny Hartz Søraker - 2014 - Philosophy and Technology 27 (1):31-46.
    When it comes to the question of what kind of moral claim an intelligent or autonomous machine might have, one way to answer this is by way of comparison with humans: Is there a fundamental difference between humans and other entities? If so, on what basis, and what are the implications for science and ethics? This question is inherently imprecise, however, because it presupposes that we can readily determine what it means for two types of entities to be sufficiently different—what (...)
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  • Adam Olszewski, Jan Wolenski, and Robert Janusz : Church’s Thesis After 70 Years: Ontos Mathematical Logic, Volume 1. Ontos Verlag, Frankfurt a. M., 2006, cloth, 551 pp, EUR 129.00, ISBN 3-938793-09-0. [REVIEW]Sven Ove Hansson - 2008 - Erkenntnis 69 (3):421-425.
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