Click Here to Download: https://ouo.io/5z6REM The Incomputable Journeys Beyond the Turing Barrier By: S. Barry Cooper Publisher: Springer Print ISBN: 9783319436678, 3319436678 eText ISBN: 9783319436692, 3319436694 Copyright year: 2017 Format: PDF Available from $ 139.00 USD SKU 9783319436692 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.
