Irreducibility and Computational Equivalence: 10 Years After Wolframs a New Kind of Science Hector Zenil

ISBN: 9783642354816

Published: December 24th 2012

Hardcover

360 pages


Description

Irreducibility and Computational Equivalence: 10 Years After Wolframs a New Kind of Science  by  Hector Zenil

Irreducibility and Computational Equivalence: 10 Years After Wolframs a New Kind of Science by Hector Zenil
December 24th 2012 | Hardcover | PDF, EPUB, FB2, DjVu, talking book, mp3, RTF | 360 pages | ISBN: 9783642354816 | 9.16 Mb

It is clear that computation is playing an increasingly prominent role in the development of mathematics, as well as in the natural and social sciences. The work of Stephen Wolfram over the last several decades has been a salient part in thisMoreIt is clear that computation is playing an increasingly prominent role in the development of mathematics, as well as in the natural and social sciences.

The work of Stephen Wolfram over the last several decades has been a salient part in this phenomenon helping founding the field of Complex Systems, with many of his constructs and ideas incorporated in his book A New Kind of Science (ANKS) becoming part of the scientific discourse and general academic knowledge--from the now established Elementary Cellular Automata to the unconventional concept of mining the Computational Universe, from todays widespread Wolframs Behavioural Classification to his principles of Irreducibility and Computational Equivalence.This volume, with a Foreword by Gregory Chaitin and an Afterword by Cris Calude, covers these and other topics related to or motivated by Wolframs seminal ideas, reporting on research undertaken in the decade following the publication of Wolframs NKS book.

Featuring 39 authors, its 23 contributions are organized into seven parts:Mechanisms in Programs & NatureSystems Based on Numbers & Simple Programs Social and Biological Systems & Technology Fundamental Physics The Behavior of Systems & the Notion of Computation Irreducibility & Computational Equivalence Reflections and Philosophical Implications.



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