Copeland, B. Jack (Editor)
Posy, Carl J. (Editor)
Shagrir, Oron (Editor)
Computer scientists, mathematicians, and philosophers discuss the conceptual foundations of the notion of computability as well as recent theoretical developments. In the 1930s a series of seminal works published by Alan Turing, Kurt Gödel, Alonzo Church, and others established the theoretical basis for computability. This work, advancing precise characterizations of effective, algorithmic computability, was the culmination of intensive investigations into the foundations of mathematics. In the decades since, the theory of computability has moved to the center of discussions in philosophy, computer science, and cognitive science. In this volume, distinguished computer scientists, mathematicians, logicians, and philosophers consider the conceptual foundations of computability in light of our modern understanding.Some chapters focus on the pioneering work by Turing, Gödel, and Church, including the Church-Turing thesis and Gödel's response to Church's and Turing's proposals. Other chapters cover more recent technical developments, including computability over the reals, Gödel's influence on mathematical logic and on recursion theory and the impact of work by Turing and Emil Post on our theoretical understanding of online and interactive computing; and others relate computability and complexity to issues in the philosophy of mind, the philosophy of science, and the philosophy of mathematics.ContributorsScott Aaronson, Dorit Aharonov, B. Jack Copeland, Martin Davis, Solomon Feferman, Saul Kripke, Carl J. Posy, Hilary Putnam, Oron Shagrir, Stewart Shapiro, Wilfried Sieg, Robert I. Soare, Umesh V. Vazirani
...MoreReview Christopher P. Porter (2019) Review of "Computability: Turing, Gödel, Church, and Beyond". Historia Mathematica (pp. 88-95).
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Rod Adams;
(2011)
An Early History of Recursive Functions and Computability from Godel to Turing
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Review
Christopher P. Porter;
(2019)
Review of "Computability: Turing, Gödel, Church, and Beyond"
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Article
Copeland, B. Jack;
Proudfoot, Diane;
(2011-2012)
Alan Turing, Father of the Modern Computer
(/isis/citation/CBB001210378/)
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Paula Quinon;
(2021)
Can Church’s thesis be viewed as a Carnapian explication?
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Hodges, Wilfrid;
(2009)
Set Theory, Model Theory, and Computability Theory
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Book
Turing, Alan Mathison;
Appel, Andrew W.;
Feferman, Solomon;
(2012)
Alan Turing's Systems of Logic: The Princeton Thesis
(/isis/citation/CBB001213136/)
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Jack Copeland;
Jonathan Bowen;
Mark Sprevak;
Robin Wilson;
(2017)
The Turing Guide
(/isis/citation/CBB709222979/)
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Giovanni Sommaruga;
Thomas Strahm;
(2016)
Turing’s Revolution: The Impact of His Ideas about Computability
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Article
Michael Friedman;
(2016)
Über drei Erscheinungen von Unterschied in der Mathematik
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Daylight, Edgar G.;
Grave, Kurt De;
(2012)
The Dawn of Software Engineering: From Turing to Dijkstra
(/isis/citation/CBB001214448/)
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Leavitt, David;
(2006)
The Man Who Knew Too Much: Alan Turing and the Invention of the Computer
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Thesis
Tenen, Dennis Yi;
(2011)
We Have Always Been Digital: The Poetics of Human-Computer Interaction
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Cooper, S. Barry;
(2012)
Incomputability after Alan Turing
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Prager, John;
(2001)
On Turing
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José Sánchez Ron;
José M. Sánchez Ron;
(2013)
Alan Turing: ¿personaje del siglo XX?
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Article
Miguel Angel Martin-Delgado;
(2013)
Alan Turing y los orígenes de la complejidad
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Hodges, Andrew;
(2000)
Alan Turing: the Enigma
(/isis/citation/CBB000110152/)
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Copeland, B. Jack;
(2012)
Turing: Pioneer of the Information Age
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Davis, Martin;
(2000)
The Universal Computer: The Road from Leibniz to Turing
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Article
Shelburne, B. J.;
(2012)
The ENIAC's 1949 Determination of π
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