The Incomputable Journeys Beyond the Turing Barrier

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Synopsis

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.

Book details

Series:
Theory and Applications of Computability
Author:
S. Barry Cooper, Mariya I. Soskova
ISBN:
9783319436692
Related ISBNs:
9783319436678
Publisher:
Springer International Publishing
Pages:
N/A
Reading age:
Not specified
Includes images:
Yes
Date of addition:
2018-09-29
Usage restrictions:
Copyright
Copyright date:
2017
Copyright by:
Springer International Publishing, Cham 
Adult content:
No
Language:
English
Categories:
Computers and Internet, Mathematics and Statistics, Nonfiction, Philosophy