Physical Hypercomputation and the Church–Turing Thesis

@article{Shagrir2003PhysicalHA,
  title={Physical Hypercomputation and the Church–Turing Thesis},
  author={Oron Shagrir and Itamar Pitowsky},
  journal={Minds and Machines},
  year={2003},
  volume={13},
  pages={87-101}
}
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. 
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73 Citations
Background Citations
24
Methods Citations
3

73 Citations

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    The British Journal for the Philosophy of Science
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