Thinking About Godel And Turing Essays On Complexity 1970 2007

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Dr Gregory Chaitin, one of the world's leading mathematicians, is best known for his discovery of the remarkable Ω number, a concrete example of irreducible complexity in pure mathematics which shows that mathematics is infinitely complex. In this volume, Chaitin discusses the evolution of these ideas, tracing them back to Leibniz and Borel as well as Gödel and Turing.This book contains 23 non-technical papers by Chaitin, his favorite tutorial and survey papers, including Chaitin's three Scientific American articles. These essays summarize a lifetime effort to use the notion of program-size complexity or algorithmic information content in order to shed further light on the fundamental work of Gödel and Turing on the limits of mathematical methods, both in logic and in computation. Chaitin argues here that his information-theoretic approach to metamathematics suggests a quasi-empirical view of mathematics that emphasizes the similarities rather than the differences between mathematics and physics. He also develops his own brand of digital philosophy, which views the entire universe as a giant computation, and speculates that perhaps everything is discrete software, everything is 0's and 1's.Chaitin's fundamental mathematical work will be of interest to philosophers concerned with the limits of knowledge and to physicists interested in the nature of complexity.

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Genre : Computers
Author : Gregory J Chaitin
Publisher : World Scientific
Release : 2007-08-06
File : 368 Pages
ISBN-13 : 9789814474702


Thinking About G Del And Turing

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Dr Gregory Chaitin, one of the world's leading mathematicians, is best known for his discovery of the remarkable ê number, a concrete example of irreducible complexity in pure mathematics which shows that mathematics is infinitely complex. In this volume, Chaitin discusses the evolution of these ideas, tracing them back to Leibniz and Borel as well as G”del and Turing.This book contains 23 non-technical papers by Chaitin, his favorite tutorial and survey papers, including Chaitin's three Scientific American articles. These essays summarize a lifetime effort to use the notion of program-size complexity or algorithmic information content in order to shed further light on the fundamental work of G”del and Turing on the limits of mathematical methods, both in logic and in computation. Chaitin argues here that his information-theoretic approach to metamathematics suggests a quasi-empirical view of mathematics that emphasizes the similarities rather than the differences between mathematics and physics. He also develops his own brand of digital philosophy, which views the entire universe as a giant computation, and speculates that perhaps everything is discrete software, everything is 0's and 1's.Chaitin's fundamental mathematical work will be of interest to philosophers concerned with the limits of knowledge and to physicists interested in the nature of complexity.

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Genre : Mathematics
Author : Gregory J. Chaitin
Publisher : World Scientific
Release : 2007
File : 368 Pages
ISBN-13 : 9789812708953


Systems Thinking

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The core belief underlying this book is that the most useful and effective models to strengthen our intelligence are system ones, developed following the logic of Systems Thinking. Such models can explore complexity, dynamics, and change, and it is the author’s view that intelligence depends on the ability to construct models of this nature. The book is designed to allow the reader not only to acquire simple information on Systems Thinking but above all to gradually learn the logic and techniques that make this way of thinking an instrument for the improvement of intelligence. In order to aid the learning and practice of the Systems Thinking discipline, the author has abandoned a rigid formal language for a more discursive style. He writes in the first person, with an ample number of citations and critical analyses, and without ever giving in to the temptation to use formal mathematics.

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Genre : Business & Economics
Author : Piero Mella
Publisher : Springer Science & Business Media
Release : 2012-06-07
File : 311 Pages
ISBN-13 : 9788847025653


Artificial Intelligence Evolutionary Computing And Metaheuristics

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Alan Turing pioneered many research areas such as artificial intelligence, computability, heuristics and pattern formation. Nowadays at the information age, it is hard to imagine how the world would be without computers and the Internet. Without Turing's work, especially the core concept of Turing Machine at the heart of every computer, mobile phone and microchip today, so many things on which we are so dependent would be impossible. 2012 is the Alan Turing year -- a centenary celebration of the life and work of Alan Turing. To celebrate Turing's legacy and follow the footsteps of this brilliant mind, we take this golden opportunity to review the latest developments in areas of artificial intelligence, evolutionary computation and metaheuristics, and all these areas can be traced back to Turing's pioneer work. Topics include Turing test, Turing machine, artificial intelligence, cryptography, software testing, image processing, neural networks, nature-inspired algorithms such as bat algorithm and cuckoo search, and multiobjective optimization and many applications. These reviews and chapters not only provide a timely snapshot of the state-of-art developments, but also provide inspiration for young researchers to carry out potentially ground-breaking research in the active, diverse research areas in artificial intelligence, cryptography, machine learning, evolutionary computation, and nature-inspired metaheuristics. This edited book can serve as a timely reference for graduates, researchers and engineers in artificial intelligence, computer sciences, computational intelligence, soft computing, optimization, and applied sciences.

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Genre : Technology & Engineering
Author : Xin-She Yang
Publisher : Springer
Release : 2012-07-27
File : 797 Pages
ISBN-13 : 9783642296949


How We Think

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How we think: digital media and contemporary technogenesis -- First interlude: practices and processes in digital media -- The digital humanities: engaging the issues -- How we read: close, hyper, machine -- Second interlude: the complexities of contemporary technogenesis -- Tech-toc: complex temporalities and contemporary technogenesis -- Technogenesis in action: telegraph code books and the place of the human -- Third interlude: narrative and database: digital media as forms -- Narrative and database: spatial history and the limits of symbiosis -- Transcendent data and transmedia narrative: Steven Hall's The raw shark texts -- Mapping time, charting data: the spatial aesthetic of Mark Z. Danielewski's Only revolutions.

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Genre : Computers
Author : N. Katherine Hayles
Publisher : University of Chicago Press
Release : 2012-06-05
File : 296 Pages
ISBN-13 : 9780226321400


The Foundations Of Experimental Physics

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Genre :
Author : Jacopo Parravicini
Publisher : Springer Nature
Release :
File : 288 Pages
ISBN-13 : 9783031554520


The Philosopher S Index

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Vols. for 1969- include a section of abstracts.

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Genre : Philosophy
Author :
Publisher :
Release : 2008
File : 1256 Pages
ISBN-13 : UOM:39015079668037


Handbook Of Futures Studies

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This insightful Handbook emphasizes the unique contribution that Futures Studies offers when understanding and managing current situations. Contributing authors argue that by learning to examine the future in the present, individuals and organizations can expand their abilities to analyze, assess and ultimately make better decisions. This title contains one or more Open Access chapters.

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Genre : Social Science
Author : Roberto Poli
Publisher : Edward Elgar Publishing
Release : 2024-07-05
File : 543 Pages
ISBN-13 : 9781035301607


Heinz Von Foerster 1911 2002

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Dedicated to the life and work of Heinz Von Foerster, this is a double issue of the journal "Cybernetics and Human Knowing".

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Genre : Computers
Author : Soren Brier
Publisher : Imprint Academic
Release : 2004
File : 212 Pages
ISBN-13 : 0907845916


Philosophy Of Computer Science

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A unique resource exploring the nature of computers and computing, and their relationships to the world. Philosophy of Computer Science is a university-level textbook designed to guide readers through an array of topics at the intersection of philosophy and computer science. Accessible to students from either discipline, or complete beginners to both, the text brings readers up to speed on a conversation about these issues, so that they can read the literature for themselves, form their own reasoned opinions, and become part of the conversation by contributing their own views. Written by a highly qualified author in the field, the book looks at some of the central questions in the philosophy of computer science, including: What is philosophy? (for readers who might be unfamiliar with it) What is computer science and its relationship to science and to engineering? What are computers, computing, algorithms, and programs?(Includes a line-by-line reading of portions of Turing’s classic 1936 paper that introduced Turing Machines, as well as discussion of the Church-Turing Computability Thesis and hypercomputation challenges to it) How do computers and computation relate to the physical world? What is artificial intelligence, and should we build AIs? Should we trust decisions made by computers? A companion website contains annotated suggestions for further reading and an instructor’s manual. Philosophy of Computer Science is a must-have for philosophy students, computer scientists, and general readers who want to think philosophically about computer science.

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Genre : Philosophy
Author : William J. Rapaport
Publisher : John Wiley & Sons
Release : 2023-03-21
File : 534 Pages
ISBN-13 : 9781119891901