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Emergent Computation pp 393–402Cite as

On Vague Computers

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Part of the book series: Emergence, Complexity and Computation ((ECC,volume 24))

Abstract

Vagueness is something everyone is familiar with. In fact, most people think that vagueness is closely related to language and exists only there. However, vagueness is a property of the physical world. Quantum computers harness superposition and entanglement to perform their computational tasks. Both superposition and entanglement are vague processes. Thus quantum computers, which process exact data without “exploiting” vagueness, are actually vague computers.

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Notes

  1. 1.

    Speculations about higher dimensions, parallel universes, etc., will remain speculations until there is solid proof about their existence.

  2. 2.

    \(\mathbf {F}\) has to be a subclass of the power set \(2^X\). Also, it must satisfy the following conditions: (a) \(X\in \mathbf {F}\); (b) for all \(E,F\in \mathbf {F}\), \(E-F\in \mathbf {F}\); and (c) for all \(E_i\in \mathbf {F}\), \(i=1,2,\ldots \), \(\bigcup _{i=1}^{+\infty }E_{i}\in F\).

  3. 3.

    \(\mu \) is monotone if and only if \(E,F\in \mathbf {F}\) and \(E\subset F\) imply \(\mu (E)\le \mu (F)\).

  4. 4.

    A function \(f:X\rightarrow (-\infty ,+\infty )\) on X is measurable if and only if \(f^{-1}(B)=\{x\mathrel {|}f(x)\in B\}\in \mathbf {F}\) for any Borel set \(B\in \mathcal {B}\). Now, assume that X is the real line. Then, the class of all bounded, left closed, and right open intervals, denoted by \(\mathcal {B}\), is the class of Borel sets.

  5. 5.

    A mathematical response to this question has been recently given by Gerla [6].

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Acknowledgements

I thank Andromahi Spanou and Christos KK Loverdos for reading the manuscript and helping me to imporve it.

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Authors and Affiliations

  1. Xanthi, Greece

    Apostolos Syropoulos

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  1. Apostolos Syropoulos
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Correspondence to Apostolos Syropoulos .

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  1. Unconventional Computing Centre, University of the West of England Unconventional Computing Centre, Bristol, United Kingdom

    Andrew Adamatzky

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Syropoulos, A. (2017). On Vague Computers. In: Adamatzky, A. (eds) Emergent Computation . Emergence, Complexity and Computation, vol 24. Springer, Cham. https://doi.org/10.1007/978-3-319-46376-6_17

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  • DOI: https://doi.org/10.1007/978-3-319-46376-6_17

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-46375-9

  • Online ISBN: 978-3-319-46376-6

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