Thinking About Godel And Turing: Essays On Complexity, 1970–2007 PDF Download

Author: Gregory J Chaitin
Publisher: World Scientific
ISBN: 9814474703
Category : Computers
Languages : en
Pages : 368

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Book Description
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.

Author: Gregory J. Chaitin
Publisher: World Scientific
ISBN: 9812708979
Category : Computers
Languages : en
Pages : 368

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Book Description
Dr Gregory Chaitin, one of the world's leading mathematicians, is best known for his discovery of the remarkable O 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 GAdel 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 GAdel 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."

Author: Herbert Bruderer
Publisher: Springer Nature
ISBN: 3030409740
Category : Computers
Languages : en
Pages : 2072

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Book Description
This Third Edition is the first English-language edition of the award-winning Meilensteine der Rechentechnik; illustrated in full color throughout in two volumes. The Third Edition is devoted to both analog and digital computing devices, as well as the world's most magnificient historical automatons and select scientific instruments (employed in astronomy, surveying, time measurement, etc.). It also features detailed instructions for analog and digital mechanical calculating machines and instruments, and is the only such historical book with comprehensive technical glossaries of terms not found in print or in online dictionaries. The book also includes a very extensive bibliography based on the literature of numerous countries around the world. Meticulously researched, the author conducted a worldwide survey of science, technology and art museums with their main holdings of analog and digital calculating and computing machines and devices, historical automatons and selected scientific instruments in order to describe a broad range of masterful technical achievements. Also covering the history of mathematics and computer science, this work documents the cultural heritage of technology as well.

Author: James Gleick
Publisher: Vintage
ISBN: 0307379574
Category : Science
Languages : en
Pages : 400

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Book Description
From the bestselling author of the acclaimed Chaos and Genius comes a thoughtful and provocative exploration of the big ideas of the modern era: Information, communication, and information theory. Acclaimed science writer James Gleick presents an eye-opening vision of how our relationship to information has transformed the very nature of human consciousness. A fascinating intellectual journey through the history of communication and information, from the language of Africa’s talking drums to the invention of written alphabets; from the electronic transmission of code to the origins of information theory, into the new information age and the current deluge of news, tweets, images, and blogs. Along the way, Gleick profiles key innovators, including Charles Babbage, Ada Lovelace, Samuel Morse, and Claude Shannon, and reveals how our understanding of information is transforming not only how we look at the world, but how we live. A New York Times Notable Book A Los Angeles Times and Cleveland Plain Dealer Best Book of the Year Winner of the PEN/E. O. Wilson Literary Science Writing Award

Author: Andrew M. Davis
Publisher: Springer Nature
ISBN: 3030813967
Category : Philosophy
Languages : en
Pages : 460

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Book Description
This book newly articulates the international and interdisciplinary reach of Whitehead’s organic process cosmology for a variety of topics across science and philosophy, and in dialogue with a variety historical and contemporary voices. Integrating Whitehead’s thought with the insights of Bergson, James, Pierce, Merleau-Ponty, Descola, Fuchs, Hofmann, Grof and many others, contributors from around the world reveal the relevance of process philosophy to physics, cosmology, astrobiology, ecology, metaphysics, aesthetics, psychedelics, and religion. A global collection, this book expresses multivocal possibilities for the development of process cosmology after Whitehead.

Author: Rosi Braidotti
Publisher: Bloomsbury Publishing
ISBN: 1350030236
Category : Philosophy
Languages : en
Pages : 577

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Book Description
If art, science, and the humanities have shared one thing, it was their common engagement with constructions and representations of the human. Under the pressure of new contemporary concerns, however, we are experiencing a “posthuman condition”; the combination of new developments-such as the neoliberal economics of global capitalism, migration, technological advances, environmental destruction on a mass scale, the perpetual war on terror and extensive security systems- with a troublesome reiteration of old, unresolved problems that mean the concept of the human as we had previously known it has undergone dramatic transformations. The Posthuman Glossary is a volume providing an outline of the critical terms of posthumanity in present-day artistic and intellectual work. It builds on the broad thematic topics of Anthropocene/Capitalocene, eco-sophies, digital activism, algorithmic cultures and security and the inhuman. It outlines potential artistic, intellectual, and activist itineraries of working through the complex reality of the 'posthuman condition', and creates an understanding of the altered meanings of art vis-à-vis critical present-day developments. It bridges missing links across disciplines, terminologies, constituencies and critical communities. This original work will unlock the terms of the posthuman for students and researchers alike.

Author: Hector Zenil
Publisher: World Scientific
ISBN: 9814327743
Category : Computers
Languages : en
Pages : 439

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Book Description
This review volume consists of an indispensable set of chapters written by leading scholars, scientists and researchers in the field of Randomness, including related subfields specially but not limited to the strong developed connections to the Computability and Recursion Theory. Highly respected, indeed renowned in their areas of specialization, many of these contributors are the founders of their fields. The scope of Randomness Through Computation is novel. Each contributor shares his personal views and anecdotes on the various reasons and motivations which led him to the study of the subject. They share their visions from their vantage and distinctive viewpoints. In summary, this is an opportunity to learn about the topic and its various angles from the leading thinkers.

Author: Dustin Lazarovici
Publisher: Springer Nature
ISBN: 3031334485
Category : Science
Languages : en
Pages : 380

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Book Description
This book provides a comprehensive investigation into the concept of typicality and its significance for physics and the philosophy of science. It identifies typicality as a fundamental way of reasoning, central to how natural laws explain and are tested against phenomena. The book discusses various applications of typicality to foundational questions in physics and beyond.These include: a unified interpretation of objective probabilities in classical mechanics and quantum mechanics a detailed discussion of Boltzmann's statistical mechanics, entropy, and the second law of thermodynamics a novel account of the asymmetry of causation and the arrow of time Finally, the book turns to the question: "What are laws of nature"? It argues that typicality extends to a powerful way of reasoning in metaphysics that can and should inform our commitments about the fundamental ontology of the world. On this basis, it develops an argument against the Humean best system account, according to which laws of nature are merely an efficient summary of contingent regularities.

Author: Robert J Marks Ii
Publisher: World Scientific
ISBN: 9813142162
Category : Computers
Languages : en
Pages : 331

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Book Description
Science has made great strides in modeling space, time, mass and energy. Yet little attention has been paid to the precise representation of the information ubiquitous in nature.Introduction to Evolutionary Informatics fuses results from complexity modeling and information theory that allow both meaning and design difficulty in nature to be measured in bits. Built on the foundation of a series of peer-reviewed papers published by the authors, the book is written at a level easily understandable to readers with knowledge of rudimentary high school math. Those seeking a quick first read or those not interested in mathematical detail can skip marked sections in the monograph and still experience the impact of this new and exciting model of nature's information.This book is written for enthusiasts in science, engineering and mathematics interested in understanding the essential role of information in closely examined evolution theory.

Author: Charles Stein
Publisher: Simon and Schuster
ISBN: 1644114623
Category : Body, Mind & Spirit
Languages : en
Pages : 441

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Book Description
A presentation of seven essential texts, central to the Hermetic Tradition, never before published together • Includes Theogony, The Homeric Hymn to Hermes, The Poem of Parmenides, The Poimandres, The Chaldean Oracles, Hymn to Isis, and On Divine Virtue, each translated from the original Greek or Latin • Presents interpretive commentary for each text to progressively weave them together historically, poetically, hermeneutically, and magically Linked to both the Greek god Hermes and the Egyptian god Thoth, Hermes Trismegistus is credited, through legend, with thousands of mystical and philosophical writings of high standing, each reputed to be of immense antiquity. During the Renaissance, a collection of such writings known as the Corpus Hermeticum greatly inspired the thought of philosophers, alchemists, artists, poets, and even theologians. Offering new translations of seven essential Hermetic texts from their earliest source languages, Charles Stein presents them alongside introductions and interpretive commentary, revealing their hidden gems of insight, suggesting directions for practice, and progressively weaving the texts together historically, poetically, hermeneutically, and magically. The book includes translations of Hesiod’s Theogony, the Homeric Hymn to Hermes, the “Poem of Parmenides,” the Poimandres from the Corpus Hermeticum, the Chaldean Oracles, “The Vision of Isis” from Apuleius’s Metamorphoses, and “On Divine Virtue” by Zosimos of Panopolis. Through his introductions and commentaries, Stein explains how the many traditions that use Hermes’s name harbor a coherent spirit whose relevance and efficacy promise to carry Hermes forward into the future. Revealing Hermes as the very principle of Mind in all its possibilities, from intellectual brilliance to the workings of the cognitive life of everyone, the author shows how these seven texts are central to a still-evolving Western tradition in which the principle of spiritual awakening is allied with the creative. Never before published together, these texts present a new vehicle for transmission of the Hermetic Genius in modern times.