Thinking About Godel And Turing: Essays On Complexity, 1970–2007 PDF Download
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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: 9814474703
Category : Computers
Languages : en
Pages : 368
Get Book Here
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: 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: Paul Carter
Publisher: Routledge
ISBN: 1351213016
Category : Political Science
Languages : en
Pages : 300
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Book Description
Power may be globalized, but Westphalian notions of sovereignty continue to determine political and legal arrangements domestically and internationally: global issues - the legacy of colonialism expressed in continuing human displacement and environmental destruction - are thus treated ‘parochially’ and ineffectually. Not designed for dealing with situations of interdependence, democratic institutions find themselves in crisis. Reform in this case is not simply operational but conceptual: political relationships need to be drawn differently; the cultural illiteracy that prevents the local knowledge invested in places made after their stories needs to be recognised as a major obstacle to decolonising governance. Archipelagic thinking refers to neglected dimensions of the earth’s human geography but also to a geo-politics of relationality, where governance is understood performatively as the continuous establishment of exchange rates. Insisting on the poetic literacy that must inform a decolonising politics, Carter suggests a way out of the incommensurability impasse that dogs assertions of indigenous sovereignty. Discussing bicultural areal management strategies located in south-west Victoria, Maluco (Indonesia) and inter-regionally across the Arafura and Timor Seas, Carter argues for the existence of creative regions constituted archipelagically that can intervene to rewrite the theory and practice of decolonisation. A book of great stylistic elegance and deftness of analysis, Decolonising Governance is an important intervention in the related fields of ecological, ecocritical and environmental humanities. Methodologically innovative in its foregrounding of relationality as the nexus between poetics and politics, it will also be of great interest to scholars in a range of areas, including communicational praxis, land/sea biodiversity design, bicultural resource management, and the constitution of post-Westphalian regional jurisdictions.
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.
Author: George Gilder
Publisher: Simon and Schuster
ISBN: 1621576132
Category : Business & Economics
Languages : en
Pages : 337
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Book Description
A FINANCIAL TIMES BOOK OF THE MONTH FROM THE WALL STREET JOURNAL: "Nothing Mr. Gilder says or writes is ever delivered at anything less than the fullest philosophical decibel... Mr. Gilder sounds less like a tech guru than a poet, and his words tumble out in a romantic cascade." “Google’s algorithms assume the world’s future is nothing more than the next moment in a random process. George Gilder shows how deep this assumption goes, what motivates people to make it, and why it’s wrong: the future depends on human action.” — Peter Thiel, founder of PayPal and Palantir Technologies and author of Zero to One: Notes on Startups, or How to Build the Future The Age of Google, built on big data and machine intelligence, has been an awesome era. But it’s coming to an end. In Life after Google, George Gilder—the peerless visionary of technology and culture—explains why Silicon Valley is suffering a nervous breakdown and what to expect as the post-Google age dawns. Google’s astonishing ability to “search and sort” attracts the entire world to its search engine and countless other goodies—videos, maps, email, calendars….And everything it offers is free, or so it seems. Instead of paying directly, users submit to advertising. The system of “aggregate and advertise” works—for a while—if you control an empire of data centers, but a market without prices strangles entrepreneurship and turns the Internet into a wasteland of ads. The crisis is not just economic. Even as advances in artificial intelligence induce delusions of omnipotence and transcendence, Silicon Valley has pretty much given up on security. The Internet firewalls supposedly protecting all those passwords and personal information have proved hopelessly permeable. The crisis cannot be solved within the current computer and network architecture. The future lies with the “cryptocosm”—the new architecture of the blockchain and its derivatives. Enabling cryptocurrencies such as bitcoin and ether, NEO and Hashgraph, it will provide the Internet a secure global payments system, ending the aggregate-and-advertise Age of Google. Silicon Valley, long dominated by a few giants, faces a “great unbundling,” which will disperse computer power and commerce and transform the economy and the Internet. Life after Google is almost here. For fans of "Wealth and Poverty," "Knowledge and Power," and "The Scandal of Money."
