What Turing did after he invented the universal Turing machine

Abstract
Alan Turing anticipated many areas of current research incomputer and cognitive science. This article outlines his contributionsto Artificial Intelligence, connectionism, hypercomputation, andArtificial Life, and also describes Turing's pioneering role in thedevelopment of electronic stored-program digital computers. It locatesthe origins of Artificial Intelligence in postwar Britain. It examinesthe intellectual connections between the work of Turing and ofWittgenstein in respect of their views on cognition, on machineintelligence, and on the relation between provability and truth. Wecriticise widespread and influential misunderstandings of theChurch–Turing thesis and of the halting theorem. We also explore theidea of hypercomputation, outlining a number of notional machines thatcompute the uncomputable.
Keywords Artificial Intelligence   Artificial Life   Automatic Computing Engine (ACE)   Church–Turing thesis   Colossus   Halting theorem   Turing   Wittgenstein   connectionism   history of computing   hypercomputation
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Reprint years 2004
DOI 10.1023/A:1008371426608
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