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Titlebook: Irreducibility and Computational Equivalence; 10 Years After Wolfr Hector Zenil Book 2013 Springer-Verlag Berlin Heidelberg 2013 Complexity

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发表于 2025-3-21 17:26:19 | 显示全部楼层 |阅读模式
书目名称Irreducibility and Computational Equivalence
副标题10 Years After Wolfr
编辑Hector Zenil
视频video
概述Follows the bestseller by Stephen Wolfram: A New Kind of Science.With a Foreword by Gregory Chaitin and an Afterword by Cris Calude.Written by leading experts in the field.Includes a Mathematica CDF v
丛书名称Emergence, Complexity and Computation
图书封面Titlebook: Irreducibility and Computational Equivalence; 10 Years After Wolfr Hector Zenil Book 2013 Springer-Verlag Berlin Heidelberg 2013 Complexity
描述.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 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 today‘s widespread Wolfram‘s 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 Wolfram‘s seminal ideas, reporting on research undertaken in the decade following the publication of Wolfram‘s NKS book. Featuring 39 authors, its 23 contributions are organized into seven parts: . .Mechanisms in Programs & Nature.Systems Based on Numbers & Simple Programs Social and Biological Systems & Technology Fundamental Physics The B
出版日期Book 2013
关键词Complexity; Computational Equivalence; Irreducibility; Wolframs New Kind of Science
版次1
doihttps://doi.org/10.1007/978-3-642-35482-3
isbn_softcover978-3-642-44257-5
isbn_ebook978-3-642-35482-3Series ISSN 2194-7287 Series E-ISSN 2194-7295
issn_series 2194-7287
copyrightSpringer-Verlag Berlin Heidelberg 2013
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An Incompleteness Theorem for the Natural World he wrote a paper called “De Arte Combinatorica”, in which he tried to formulate a universal algebra for reasoning, in the hope that human thought might some day be reducible to mathematical calculations, with symbols or characters standing for thoughts.
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Do Particles Evolve?f Wolfram’s Network Mobile Automata; the objective here is to investigate the emergent qualitative and quantitative properties of the causal sets associated to the automata computations, in view of their potential application as discrete models of physical spacetime.
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On the Necessity of Complexityion of .. In the second section we ask the question why we do not observe any phenomena that are complex but not-universal. We choose a cognitive setting to embark on this question and make some analogies with formal logic..In the third and final section we report on a case study where we see rich structures arise everywhere.
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Symmetry and Complexity of Cellular Automata: Towards an Analytical Theory of Dynamical Systemequations and proofs. In short, we also need analytical models of cellular automata, in order to find precise answers and predictions in the universe of cellular automata. In this sense, our approach goes beyond Wolfram’s NKS.
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we are and contributes to our prospects of health and disease.  While early epigenetic research focused on plant and animal models and in vitro experiments, population-based epidemiologic studies increasingly incorporate epigenetic components. The relevance of epigenetic marks, such as DNA methylati
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