Thinking About G Del And Turing

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Thinking About G Del And Turing
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Author : Gregory J. Chaitin
language : en
Publisher: World Scientific
Release Date : 2007
Thinking About G Del And Turing written by Gregory J. Chaitin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
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 Gdel 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 Gdel 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.
Thinking On The Web
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Author : H. Peter Alesso
language : en
Publisher: Wiley-Interscience
Release Date : 2006-09-12
Thinking On The Web written by H. Peter Alesso and has been published by Wiley-Interscience this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09-12 with Computers categories.
What Is Thinking? What is Turing's Test? What is Gödel's Undecidability Theorem? How is Berners-Lee's Semantic Web logic going to overcome paradoxes and complexity to produce machine processing on the Web? Thinking on the Web draws from the contributions of Tim Berners-Lee (What is solvable on the Web?), Kurt Gödel (What is decidable?), and Alan Turing (What is machine intelligence?) to evaluate how much "intelligence" can be projected onto the Web. The authors offer both abstract and practical perspectives to delineate the opportunities and challenges of a "smarter" Web through a threaded series of vignettes and a thorough review of Semantic Web development.
Computability
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Author : B. Jack Copeland
language : en
Publisher: MIT Press
Release Date : 2013-06-07
Computability written by B. Jack Copeland and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-07 with Computers categories.
Computer scientists, mathematicians, and philosophers discuss the conceptual foundations of the notion of computability as well as recent theoretical developments. In the 1930s a series of seminal works published by Alan Turing, Kurt Gödel, Alonzo Church, and others established the theoretical basis for computability. This work, advancing precise characterizations of effective, algorithmic computability, was the culmination of intensive investigations into the foundations of mathematics. In the decades since, the theory of computability has moved to the center of discussions in philosophy, computer science, and cognitive science. In this volume, distinguished computer scientists, mathematicians, logicians, and philosophers consider the conceptual foundations of computability in light of our modern understanding.Some chapters focus on the pioneering work by Turing, Gödel, and Church, including the Church-Turing thesis and Gödel's response to Church's and Turing's proposals. Other chapters cover more recent technical developments, including computability over the reals, Gödel's influence on mathematical logic and on recursion theory and the impact of work by Turing and Emil Post on our theoretical understanding of online and interactive computing; and others relate computability and complexity to issues in the philosophy of mind, the philosophy of science, and the philosophy of mathematics.ContributorsScott Aaronson, Dorit Aharonov, B. Jack Copeland, Martin Davis, Solomon Feferman, Saul Kripke, Carl J. Posy, Hilary Putnam, Oron Shagrir, Stewart Shapiro, Wilfried Sieg, Robert I. Soare, Umesh V. Vazirani
How We Think
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Author : N. Katherine Hayles
language : en
Publisher: University of Chicago Press
Release Date : 2012-04-11
How We Think written by N. Katherine Hayles and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-11 with Technology & Engineering categories.
“How do we think?” N. Katherine Hayles poses this question at the beginning of this bracing exploration of the idea that we think through, with, and alongside media. As the age of print passes and new technologies appear every day, this proposition has become far more complicated, particularly for the traditionally print-based disciplines in the humanities and qualitative social sciences. With a rift growing between digital scholarship and its print-based counterpart, Hayles argues for contemporary technogenesis—the belief that humans and technics are coevolving—and advocates for what she calls comparative media studies, a new approach to locating digital work within print traditions and vice versa. Hayles examines the evolution of the field from the traditional humanities and how the digital humanities are changing academic scholarship, research, teaching, and publication. She goes on to depict the neurological consequences of working in digital media, where skimming and scanning, or “hyper reading,” and analysis through machine algorithms are forms of reading as valid as close reading once was. Hayles contends that we must recognize all three types of reading and understand the limitations and possibilities of each. In addition to illustrating what a comparative media perspective entails, Hayles explores the technogenesis spiral in its full complexity. She considers the effects of early databases such as telegraph code books and confronts our changing perceptions of time and space in the digital age, illustrating this through three innovative digital productions—Steve Tomasula’s electronic novel, TOC; Steven Hall’s The Raw Shark Texts; and Mark Z. Danielewski’s Only Revolutions. Deepening our understanding of the extraordinary transformative powers digital technologies have placed in the hands of humanists, How We Think presents a cogent rationale for tackling the challenges facing the humanities today.
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Author :
language : en
Publisher: ESIC
Release Date :
written by and has been published by ESIC this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Artificial Intelligence Evolutionary Computing And Metaheuristics
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Author : Xin-She Yang
language : en
Publisher: Springer
Release Date : 2012-07-27
Artificial Intelligence Evolutionary Computing And Metaheuristics written by Xin-She Yang and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-27 with Technology & Engineering categories.
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.
The Foundations Of Experimental Physics
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Author : Jacopo Parravicini
language : en
Publisher: Springer Nature
Release Date : 2024-06-26
The Foundations Of Experimental Physics written by Jacopo Parravicini and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-26 with Science categories.
Standard STEM courses, for all of their value, do not tend to include systematic lectures or treatment about the nature of the scientific method. This book aims to provide a wide reflection on the general principles of physics and explore the foundations of scientific knowledge as a whole. The author delves into the study of what lies at the basis of science in general, and physics in particular. Themes such as the relation between natural phenomena and mathematical language are addressed, highlighting the main hubs of conceptual development in science. The volume also examines the conceptual and practical instruments that have been progressively developed to investigate the nature of physics. Furthermore, the author discusses the importance of “scientific practice” within the scientific community, emphasizing its role in advancing knowledge and how it contributes to physics as a whole. Divided into three parts, each covering different aspects of physics and its foundations, the text, while assuming basic knowledge of physics and mathematics taught in university courses, is accessible to all STEM students, and will be useful for anyone looking to gain valuable insights into the nature of physics and the methods used to acquire knowledge in this field.
Handbook Of Futures Studies
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Author : Roberto Poli
language : en
Publisher: Edward Elgar Publishing
Release Date : 2024-07-05
Handbook Of Futures Studies written by Roberto Poli and has been published by Edward Elgar Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-05 with Social Science categories.
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.
The Philosopher S Index
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Author :
language : en
Publisher:
Release Date : 2006
The Philosopher S Index written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Philosophy categories.
Vols. for 1969- include a section of abstracts.
Advances In Manufacturing Production Management And Process Control
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Author : Stefan Trzcielinski
language : en
Publisher: Springer Nature
Release Date : 2021-07-03
Advances In Manufacturing Production Management And Process Control written by Stefan Trzcielinski and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-03 with Technology & Engineering categories.
This book provides readers with a timely snapshot of human factors research and methods fostering a better integration of technologies and humans during the whole manufacturing cycle, giving a special emphasis to the quality and safety of the industrial environment for workers, the efficiency of the manufacturing processes itself, the quality of the final product, and its distribution to and use by the customers. It discusses timely issues relating to the automation of the manufacturing processes, and the challenges imposed by the implementation of industry 4.0, additive manufacturing and 3D printing technologies. Contributions cover a range of industrial sectors, such as the automotive, health and constructions ones, highlighting both organizational and engineering solutions fostering sustainability, globalization, customization, workers’ well-being and consumers’ satisfaction, among other issues. Based on the AHFE 2021 Conferences on Human Aspects of Advanced Manufacturing, Advanced Production Management and Process Control, and Additive Manufacturing, Modeling Systems and 3D Prototyping, held virtually on 25–29 July, 2021, from USA, this book, which merges ergonomic research and technical know-how in the field of manufacturing and product design, addresses a wide range of engineers, designers and professionals, dealing with the integration of technologies and humans in the factories of the future.