Theory and Applications of Computability

The Incomputable

Journeys Beyond the Turing Barrier

Editors: Cooper, S. Barry, Soskova, Mariya I. (Eds.)

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  • Core aspect of Turing's scientific legacy, uniting the areas of (in)computability theory and Big Science
  • Valuable for researchers in the areas of theoretical computer science, mathematical logic, and philosophy
  • Examines why not all features of the real world are captured by classical models of computability
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eBook £87.50
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  • ISBN 978-3-319-43669-2
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Hardcover £109.99
price for United Kingdom (gross)
  • ISBN 978-3-319-43667-8
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  • Usually dispatched within 3 to 5 business days.
Softcover £109.99
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  • ISBN 978-3-319-82881-7
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About this book

This book questions the relevance of computation to the physical universe. Our theories deliver computational descriptions, but the gaps and discontinuities in our grasp suggest a need for continued discourse between researchers from different disciplines, and this book is unique in its focus on the mathematical theory of incomputability and its relevance for the real world. The core of the book consists of thirteen chapters in five parts on extended models of computation; the search for natural examples of incomputable objects; mind, matter, and computation; the nature of information, complexity, and randomness; and the mathematics of emergence and morphogenesis.

This book will be of interest to researchers in the areas of theoretical computer science, mathematical logic, and philosophy.

About the authors

Prof. S. Barry Cooper was a Professor of Pure Mathematics at the University of Leeds. He was the founding President of the Computability in Europe Association, and a prolific author and editor in the domain of computability. He championed Alan Turing's achievements in logic and computer science, and in particular he motivated and organized cross-disciplinary collaborations, among them the events, publications and broadcasts of the Alan Turing Year in 2012.

Dr. Mariya I. Soskova is an associate professor in the Dept. of Mathematical Logic and Applications in Sofia University. She was recently a visiting scholar at the University of California, and a visiting seminar professor at the Dept. of Mathematics at the University of Wisconsin, Madison.

Reviews

“The incomputable explores selected recent research into various aspects of computability. This includes abstract models of computation, how quantum algorithms could in some sense redefine aspects of computability, and how the notion of computability relates to the physical world and physical processes. The book leads with a tribute to the late Ivan Soskov, a Bulgarian computer scientist who dedicated his professional career to studying computability theories, particularly computability over abstract structures.” (G. R. Mayforth, Computing Reviews, March, 2018) ​

Table of contents (14 chapters)

Table of contents (14 chapters)

Buy this book

eBook £87.50
price for United Kingdom (gross)
  • ISBN 978-3-319-43669-2
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover £109.99
price for United Kingdom (gross)
  • ISBN 978-3-319-43667-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover £109.99
price for United Kingdom (gross)
  • ISBN 978-3-319-82881-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
The Incomputable
Book Subtitle
Journeys Beyond the Turing Barrier
Editors
  • S. Barry Cooper
  • Mariya I. Soskova
Series Title
Theory and Applications of Computability
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-43669-2
DOI
10.1007/978-3-319-43669-2
Hardcover ISBN
978-3-319-43667-8
Softcover ISBN
978-3-319-82881-7
Series ISSN
2190-619X
Edition Number
1
Number of Pages
X, 292
Number of Illustrations
10 illustrations in colour
Topics