Minds and Machines 13 (1):87-101 (2003)

Authors
Oron Shagrir
Hebrew University of Jerusalem
Abstract
We describe a possible physical device that computes a function that cannot be computed by a Turing machine. The device is physical in the sense that it is compatible with General Relativity. We discuss some objections, focusing on those which deny that the device is either a computer or computes a function that is not Turing computable. Finally, we argue that the existence of the device does not refute the Church–Turing thesis, but nevertheless may be a counterexample to Gandy's thesis.
Keywords Church–Turing thesis   Gandy's thesis   effective computation   physical hypercomputation   supertasks
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Reprint years 2004
DOI 10.1023/A:1021365222692
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References found in this work BETA

On Computable Numbers, with an Application to the N Tscheidungsproblem.Alan Turing - 1936 - Proceedings of the London Mathematical Society 42 (1):230-265.
Systems of Logic Based on Ordinals.Alan Mathison Turing - 1939 - London: Printed by C.F. Hodgson & Son.

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Citations of this work BETA

Computation in Physical Systems.Gualtiero Piccinini - 2010 - Stanford Encyclopedia of Philosophy.
Why We View the Brain as a Computer.Oron Shagrir - 2006 - Synthese 153 (3):393-416.
The Physical Church–Turing Thesis: Modest or Bold?Gualtiero Piccinini - 2011 - British Journal for the Philosophy of Science 62 (4):733-769.
Quantum Computing.Amit Hagar & Michael Cuffaro - 2019 - Stanford Encyclopedia of Philosophy.

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