Download or read book Thinking About Godel And Turing Essays On Complexity 1970 2007 written by Gregory J Chaitin and published by World Scientific. This book was released on 2007-08-06 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Thinking about Godel and Turing written by Gregory J. Chaitin and published by World Scientific. This book was released on 2007 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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."

Download or read book Milestones in Analog and Digital Computing written by Herbert Bruderer and published by Springer Nature. This book was released on 2021-01-04 with total page 2072 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book The Information written by James Gleick and published by Vintage. This book was released on 2011-03-01 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Download or read book Process Cosmology written by Andrew M. Davis and published by Springer Nature. This book was released on 2021-12-13 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Posthuman Glossary written by Rosi Braidotti and published by Bloomsbury Publishing. This book was released on 2018-02-22 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Randomness Through Computation written by Hector Zenil and published by World Scientific. This book was released on 2011 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Typicality Reasoning in Probability Physics and Metaphysics written by Dustin Lazarovici and published by Springer Nature. This book was released on 2023-12-18 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Introduction To Evolutionary Informatics written by Robert J Marks Ii and published by World Scientific. This book was released on 2017-02-27 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book The Light of Hermes Trismegistus written by Charles Stein and published by Simon and Schuster. This book was released on 2022-12-06 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Proving Darwin written by Gregory J. Chaitin and published by Pantheon. This book was released on 2012 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explains how evolution works on a mathematical level, arguing that mathematical theory is an essential part of evolution while highlighting mathematical principles in the biological world.

Download or read book Digital And The Real World The Computational Foundations Of Mathematics Science Technology And Philosophy written by Klaus Mainzer and published by World Scientific. This book was released on 2017-11-17 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the 21st century, digitalization is a global challenge of mankind. Even for the public, it is obvious that our world is increasingly dominated by powerful algorithms and big data. But, how computable is our world? Some people believe that successful problem solving in science, technology, and economies only depends on fast algorithms and data mining. Chances and risks are often not understood, because the foundations of algorithms and information systems are not studied rigorously. Actually, they are deeply rooted in logics, mathematics, computer science and philosophy.Therefore, this book studies the foundations of mathematics, computer science, and philosophy, in order to guarantee security and reliability of the knowledge by constructive proofs, proof mining and program extraction. We start with the basics of computability theory, proof theory, and information theory. In a second step, we introduce new concepts of information and computing systems, in order to overcome the gap between the digital world of logical programming and the analog world of real computing in mathematics and science. The book also considers consequences for digital and analog physics, computational neuroscience, financial mathematics, and the Internet of Things (IoT).

Download or read book Life After Google written by George Gilder and published by Simon and Schuster. This book was released on 2018-07-17 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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."

Download or read book Pythagoras Revenge written by Arturo Sangalli and published by Princeton University Press. This book was released on 2009-05-10 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: The celebrated mathematician and philosopher Pythagoras left no writings. But what if he had and the manuscript had never been found? Where would it be located? Two mathematicians, one American, one British, set out, unbeknownst to each other, to find the missing manuscript.

Download or read book Unravelling Complexity The Life And Work Of Gregory Chaitin written by Shyam Wuppuluri and published by World Scientific. This book was released on 2020-02-06 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: The revolutions that Gregory Chaitin brought within the fields of science are well known. From his discovery of algorithmic information complexity to his work on Gödel's theorem, he has contributed deeply and expansively to such diverse fields.This book attempts to bring together a collection of articles written by his colleagues, collaborators and friends to celebrate his work in a festschrift. It encompasses various aspects of the scientific work that Chaitin has accomplished over the years. Topics range from philosophy to biology, from foundations of mathematics to physics, from logic to computer science, and all other areas Chaitin has worked on.It also includes sketches of his personality with the help of biographical accounts in some unconventional articles that will provide a rare glimpse into the personal life and nature of Chaitin.Compared to the other books that exist along a similar vein, this book stands out primarily due to its highly interdisciplinary nature and its scope that will attract readers into Chaitin's world.

Download or read book Information And Computation Essays On Scientific And Philosophical Understanding Of Foundations Of Information And Computation written by Gordana Dodig-crnkovic and published by World Scientific. This book was released on 2011-06-10 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Information is a basic structure of the world, while computation is a process of the dynamic change of information. This book provides a cutting-edge view of world's leading authorities in fields where information and computation play a central role. It sketches the contours of the future landscape for the development of our understanding of information and computation, their mutual relationship and the role in cognition, informatics, biology, artificial intelligence, and information technology.This book is an utterly enjoyable and engaging read which gives readers an opportunity to understand and relate phenomena seemingly unrelated in a completely new light — especially the connections between information, computation, cognition and life.

Download or read book The Scandal of Money written by George Gilder and published by Simon and Schuster. This book was released on 2016-03-28 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Why do we think governments know how to create money? They don't. George Gilder shows that money is time, and time is real. He is our best guide to our most fundamental economic problem." --Peter Thiel, founder of PayPal and Palantir Technologies "Thirty-five years ago, George Gilder wrote Wealth and Poverty, the bible of the Reagan Revolution. With The Scandal of Money he may have written the road map to the next big boom." --Arthur B. Laffer, coauthor of the New York Times bestseller An Inquiry into the Nature and Causes of the Wealth of States "Gilder pushes us to think about the government monopoly on money and makes a strong case against it. If you believe in economic freedom, you should read this book." --Senator Jim DeMint, president of The Heritage Foundation As famed economist and New York Times bestselling author George Gilder points out, “despite multi-billion dollar stimulus packages and near-zero interest rates, Wall Street recovers but the economy never does.” In his groundbreaking new book, The Scandal of Money, Gilder unveils a radical new explanation for our economic woes. Gilder also exposes the corruption of the Federal Reserve, Washington power-brokers, and Wall Street’s “too-big-to-fail” megabanks, detailing how a small cabal of elites have manipulated currencies and crises to stifle economic growth and crush the middle class. Gilder spares no one in his devastating attack on politicians’ economic policies. He claims that the Democrats will steer us to ruin – but points out that Republicans are also woefully misguided on how to salvage our economic future. With all major polls showing that voters rank the economy as one of the top three “most important problems” facing the nation, Gilder’s myth-busting, paradigm-shifting recipe for economic growth could not come at a more critical time. In The Scandal of Money, the reader will learn: Who is to blame for the economic crippling of America How the new titans of Wall Street value volatility over profitability Why China is winning and we are losing Who the real 1% is and how they are crushing the middle class The hidden dangers of a cashless society What Republicans need to do to win the economic debate—and what the Democrats are doing to make things worse