On the Possibilities of Hypercomputing Supertasks

@article{Mller2011OnTP,
  title={On the Possibilities of Hypercomputing Supertasks},
  author={Vincent C. M{\"u}ller},
  journal={Minds and Machines},
  year={2011},
  volume={21},
  pages={83-96}
}
  • V. C. Müller
  • Published 1 February 2011
  • Computer Science
  • Minds and Machines
This paper investigates the view that digital hypercomputing is a good reason for rejection or re-interpretation of the Church-Turing thesis. After suggestion that such re-interpretation is historically problematic and often involves attack on a straw man (the ‘maximality thesis’), it discusses proposals for digital hypercomputing with “Zeno-machines”, i.e. computing machines that compute an infinite number of computing steps in finite time, thus performing supertasks. It argues that effective… 

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