Reflections on Kurt Go¨del
A half-century survey on The Universal Turing Machine
Journal of Symbolic Logic
The confluence of ideas in 1936
The universal Turing machine (2nd ed.)
The Universal Computer: The Road from Leibniz to Turing
The Universal Computer: The Road from Leibniz to Turing
Shadows of the Mind: A Search for the Missing Science of Consciousness
Shadows of the Mind: A Search for the Missing Science of Consciousness
Alan Turing: The Enigma
Alan Turing and the Mathematical Objection
Minds and Machines
Alan Turing: Life and Legacy of a Great Thinker
Alan Turing: Life and Legacy of a Great Thinker
Logical Dilemmas: The Life and Work of Kurt Godel
Logical Dilemmas: The Life and Work of Kurt Godel
| Hi-index | 0.00 |
The last century saw dramatic challenges to the Laplacian predictability which had underpinned scientific research for around 300 years. Basic to this was Alan Turing's 1936 discovery (along with Alonzo Church) of the existence of unsolvable problems. This paper focuses on incomputability as a powerful theme in Turing's work and personal life, and examines its role in his evolving concept of machine intelligence. It also traces some of the ways in which important new developments are anticipated by Turing's ideas in logic. This paper is based on the talk given on 5th June 2004 at the conference at Manchester University marking the 50th anniversary of Alan Turing's death. It is published by the British Computer Society on http://www.bcs.org/ewics. It was submitted on 10th January, 2005; some minor amendments were made, and references added for publication, in March 2005.