Publikation:

The Church-Turing thesis and effective mundane procedures

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1995

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Roelants, Herman

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Minds and Machines. Springer. 1995, 5(1), pp. 1-8. ISSN 0924-6495. eISSN 1572-8641. Available under: doi: 10.1007/BF00974186

Zusammenfassung

We critically discuss Cleland's analysis of effective procedures as ‘mundane effective procedures’. She argues that Turing machines cannot carry out mundane procedures, since Turing machines are abstract entities and therefore cannot generate the causal processes that are generated by mundane procedures. We argue that if Turing machines cannot enter the physical world, then it is hard to see how Cleland's “mundane procedures” can enter the world of numbers. Hence her arguments against versions of the Church-Turing thesis for number theoretic functions miss the mark.

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100 Philosophie

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Church-Turing thesis, Turing machine, effective procedure, effectively computable function, mundane procedure

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ISO 690HORSTEN, Leon, Herman ROELANTS, 1995. The Church-Turing thesis and effective mundane procedures. In: Minds and Machines. Springer. 1995, 5(1), pp. 1-8. ISSN 0924-6495. eISSN 1572-8641. Available under: doi: 10.1007/BF00974186
BibTex
@article{Horsten1995Churc-56951,
  year={1995},
  doi={10.1007/BF00974186},
  title={The Church-Turing thesis and effective mundane procedures},
  number={1},
  volume={5},
  issn={0924-6495},
  journal={Minds and Machines},
  pages={1--8},
  author={Horsten, Leon and Roelants, Herman}
}
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