Church-Turing Thesis
Church's notion of an effectively calculable function of positive integers should be identified with that of a recursive function, joined with Turing's idea that the identification of effectively calculable functions with functions whose values can be computed by a particular idealized computing device (a Turing machine). As the two mathematical notions are provably equivalent, the theses are "equivalent," and are jointly referred to as the Church-Turing thesis.
Articles on KurzweilAI.net that refer to Church-Turing Thesis
The Paradigms and Paradoxes of Intelligence, Part 2: The Church-Turing Thesis By Ray KurzweilThe Age of Intelligent Machines, Chapter Three: Mathematical Roots By Ray Kurzweil
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The Age of Intelligent Machines: A NOR B--The Basis of Intelligence? By Ray Kurzweil
The Age of Intelligent Machines, Chapter Two: Philosophical Roots By Ray Kurzweil
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Related Links
The Church-Turing ThesisChurch-Turing Thesis
Alan Turing