Search Results for "the-universal-computer-the-road-from-leibniz-to-turing"

The Universal Computer

The Universal Computer

The Road from Leibniz to Turing, Third Edition

  • Author: Martin Davis
  • Publisher: CRC Press
  • ISBN: 1351384813
  • Category: Mathematics
  • Page: 222
  • View: 2543
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The breathtakingly rapid pace of change in computing makes it easy to overlook the pioneers who began it all. Written by Martin Davis, respected logician and researcher in the theory of computation, The Universal Computer: The Road from Leibniz to Turing explores the fascinating lives, ideas, and discoveries of seven remarkable mathematicians. It tells the stories of the unsung heroes of the computer age – the logicians.

The Universal Computer

The Universal Computer

The Road from Leibniz to Turing

  • Author: Martin Davis
  • Publisher: CRC Press
  • ISBN: 1466505206
  • Category: Computers
  • Page: 240
  • View: 8196
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The breathtakingly rapid pace of change in computing makes it easy to overlook the pioneers who began it all. Written by Martin Davis, respected logician and researcher in the theory of computation, The Universal Computer: The Road from Leibniz to Turing explores the fascinating lives, ideas, and discoveries of seven remarkable mathematicians. It tells the stories of the unsung heroes of the computer age – the logicians. The story begins with Leibniz in the 17th century and then focuses on Boole, Frege, Cantor, Hilbert, and Gödel, before turning to Turing. Turing’s analysis of algorithmic processes led to a single, all-purpose machine that could be programmed to carry out such processes—the computer. Davis describes how this incredible group, with lives as extraordinary as their accomplishments, grappled with logical reasoning and its mechanization. By investigating their achievements and failures, he shows how these pioneers paved the way for modern computing. Bringing the material up to date, in this revised edition Davis discusses the success of the IBM Watson on Jeopardy, reorganizes the information on incompleteness, and adds information on Konrad Zuse. A distinguished prize-winning logician, Martin Davis has had a career of more than six decades devoted to the important interface between logic and computer science. His expertise, combined with his genuine love of the subject and excellent storytelling, make him the perfect person to tell this story.

The Universal Computer

The Universal Computer

The Road from Leibniz to Turing

  • Author: Martin Davis
  • Publisher: W. W. Norton & Company
  • ISBN: 9780393047851
  • Category: Computers
  • Page: 257
  • View: 3928
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Chronicles the history and development of computers and the software that makes them tick, explaining the core principles driving every calculation, stored record, and mouse click.

Business Research Methodology (With Cd)

Business Research Methodology (With Cd)

  • Author: Srivastava
  • Publisher: Tata McGraw-Hill Education
  • ISBN: 1259081907
  • Category: Business
  • Page: 210
  • View: 6533
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Classic graduate-level introduction to theory of computability. Discusses general theory of computability, computable functions, operations on computable functions, Turing machines self-applied, unsolvable decision problems, applications of general theory, mathematical logic, Kleene hierarchy, more.

Discrete Structures, Logic, and Computability

Discrete Structures, Logic, and Computability

  • Author: James L. Hein
  • Publisher: Jones & Bartlett Publishers
  • ISBN: 1284070409
  • Category: Computers
  • Page: 1050
  • View: 7873
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Following the recent updates to the 2013 ACM/IEEE Computer Science curricula, Discrete Structures, Logic, and Computability, Fourth Edition, has been designed for the discrete math course that covers one to two semesters. Dr. Hein presents material in a spiral medthod of learning, introducing basic information about a topic, allowing the students to work on the problem and revisit the topic, as new information and skills are established. Written for prospective computer scientist, computer engineers, or applied mathematicians, who want to learn about the ideas that inspire computer science, this edition contains an extensive coverage of logic, setting it apart from similar books available in the field of Computer Science.

Turing's Cathedral

Turing's Cathedral

The Origins of the Digital Universe

  • Author: George Dyson
  • Publisher: Pantheon
  • ISBN: 0375422773
  • Category: Science
  • Page: 401
  • View: 6291
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Documents the innovations of a group of eccentric geniuses who developed computer code in the mid-20th century as part of mathematician Alan Turin's theoretical universal machine idea, exploring how their ideas led to such developments as digital television, modern genetics and the hydrogen bomb.

The Annotated Turing

The Annotated Turing

A Guided Tour Through Alan Turing's Historic Paper on Computability and the Turing Machine

  • Author: Charles Petzold
  • Publisher: John Wiley & Sons
  • ISBN: 0470229055
  • Category: Computers
  • Page: 372
  • View: 3267
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Provides an expansion of Turing's original paper, a brief look at his life, and information on the Turing machine and computability topics.

The Undecidable

The Undecidable

Basic Papers on Undecidable Propositions, Unsolvable Problems and Computable Functions

  • Author: Martin Davis
  • Publisher: Courier Corporation
  • ISBN: 9780486432281
  • Category: Mathematics
  • Page: 413
  • View: 6625
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"A valuable collection both for original source material as well as historical formulations of current problems." — The Review of Metaphysics "Much more than a mere collection of papers. A valuable addition to the literature." — Mathematics of Computation An anthology of fundamental papers on undecidability and unsolvability by major figures in the field , this classic reference is ideally suited as a text for graduate and undergraduate courses in logic, philosophy, and foundations of mathematics. It is also appropriate for self-study. The text opens with Godel's landmark 1931 paper demonstrating that systems of logic cannot admit proofs of all true assertions of arithmetic. Subsequent papers by Godel, Church, Turing, and Post single out the class of recursive functions as computable by finite algorithms. Additional papers by Church, Turing, and Post cover unsolvable problems from the theory of abstract computing machines, mathematical logic, and algebra, and material by Kleene and Post includes initiation of the classification theory of unsolvable problems. Supplementary items include corrections, emendations, and added commentaries by Godel, Church, and Kleene for this volume's original publication, along with a helpful commentary by the editor.

Computability, Complexity, and Languages

Computability, Complexity, and Languages

Fundamentals of Theoretical Computer Science

  • Author: Martin D. Davis,Elaine J. Weyuker
  • Publisher: Academic Press
  • ISBN: 1483264580
  • Category: Reference
  • Page: 446
  • View: 1746
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Computability, Complexity, and Languages: Fundamentals of Theoretical Computer Science provides an introduction to the various aspects of theoretical computer science. Theoretical computer science is the mathematical study of models of computation. This text is composed of five parts encompassing 17 chapters, and begins with an introduction to the use of proofs in mathematics and the development of computability theory in the context of an extremely simple abstract programming language. The succeeding parts demonstrate the performance of abstract programming language using a macro expansion technique, along with presentations of the regular and context-free languages. Other parts deal with the aspects of logic that are important for computer science and the important theory of computational complexity, as well as the theory of NP-completeness. The closing part introduces the advanced recursion and polynomial-time computability theories, including the priority constructions for recursively enumerable Turing degrees. This book is intended primarily for undergraduate and graduate mathematics students.

Computability and Unsolvability

Computability and Unsolvability

  • Author: Martin Davis
  • Publisher: Courier Corporation
  • ISBN: 0486151069
  • Category: Mathematics
  • Page: 288
  • View: 487
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Classic graduate-level introduction to theory of computability. Discusses general theory of computability, computable functions, operations on computable functions, Turing machines self-applied, unsolvable decision problems, applications of general theory, mathematical logic, Kleene hierarchy, more.

The Essential Turing

The Essential Turing

  • Author: Alan Mathison Turing
  • Publisher: Oxford University Press
  • ISBN: 0198250797
  • Category: Computers
  • Page: 613
  • View: 8095
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Lectures, scientific papers, top secret wartime material, correspondence, and broadcasts are introduced and set in context by Jack Copeland, Director of the Turing Archive for the History of Computing."--Jacket.

1089 and All that : a Journey Into Mathematics

1089 and All that : a Journey Into Mathematics

  • Author: D. J. Acheson
  • Publisher: Oxford University Press, USA
  • ISBN: 9780198516231
  • Category: Mathematics
  • Page: 178
  • View: 5521
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This excellent book, written by the established author David Acheson, makes mathematics accessible to everyone. Providing an entertaining and witty overview of the subject, the text includes several fascinating puzzles, and is accompanied by numerous illustrations and sketches by world famous cartoonists. This unusual book is one of the most readable explanations of mathematics available.

Thinking about G”del and Turing

Thinking about G”del and Turing

Essays on Complexity, 1970-2007

  • Author: Gregory J. Chaitin
  • Publisher: World Scientific
  • ISBN: 9812708952
  • Category: Mathematics
  • Page: 347
  • View: 7837
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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.

The Book of Why

The Book of Why

The New Science of Cause and Effect

  • Author: Judea Pearl,Dana Mackenzie
  • Publisher: Basic Books
  • ISBN: 0465097618
  • Category: Computers
  • Page: 432
  • View: 2015
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How the study of causality revolutionized science and the world "Correlation is not causation." This mantra, chanted by scientists for more than a century, has led to a virtual prohibition on causal talk. Today, that taboo is dead. The causal revolution, instigated by Judea Pearl and his colleagues, has cut through a century of confusion and established causality--the study of cause and effect--on a firm scientific basis. His work explains how we can know easy things, like whether it was rain or a sprinkler that made a sidewalk wet; and how to answer hard questions, like whether a drug cured an illness. Pearl's work enables us to know not just whether one thing causes another: it lets us explore the world that is and the worlds that could have been. It shows us the essence of human thought and key to artificial intelligence. Anyone who wants to understand either needs The Book of Why.

Worldviews

Worldviews

An Introduction to the History and Philosophy of Science

  • Author: Richard DeWitt
  • Publisher: John Wiley & Sons
  • ISBN: 144439276X
  • Category: Science
  • Page: 392
  • View: 5565
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Updated throughout and with three entirely new chapters, Worldviews: An Introduction to the History and Philosophy of Science, Second Edition furthers its reputation as the definitive introductory text on the historical developments and philosophical issues that inform our scientific view of the world around us. Represents an innovative introduction to the history and philosophy of science, designed especially for those coming to the subject for the first time Updated new edition features the addition of chapters focusing on scientific laws, evolutionary theory, and implications of evolution Covers the key historical developments and philosophical themes that have impacted our scientific view of the world around us Analyzes the transitions from the Aristotelian worldview to the Newtonian worldview to a new and currently developing worldview Explores challenges to the Western scientific worldview brought on by recent discoveries

I Am a Strange Loop

I Am a Strange Loop

  • Author: Douglas R. Hofstadter
  • Publisher: Basic Books
  • ISBN: 0465030785
  • Category: Philosophy
  • Page: 412
  • View: 9115
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An original, endlessly thought-provoking, and controversial look at the nature of consciousness and identity argues that the key to understanding selves and consciousness is the "strange loop," a special kind of abstract feedback loop inhabiting our brains.

The Advent of the Algorithm

The Advent of the Algorithm

The 300-Year Journey from an Idea to the Computer

  • Author: David Berlinski
  • Publisher: Houghton Mifflin Harcourt
  • ISBN: 9780156013918
  • Category: Computers
  • Page: 345
  • View: 641
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Describes the invention of the algorithm, first theorized by Leibniz, and the dramatic implications of this mathematical discovery on the development of computer technology and the working of DNA.

Alan Turing: Life and Legacy of a Great Thinker

Alan Turing: Life and Legacy of a Great Thinker

  • Author: Christof Teuscher
  • Publisher: Springer Science & Business Media
  • ISBN: 3662056429
  • Category: Computers
  • Page: 542
  • View: 7314
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Written by a distinguished cast of contributors, Alan Turing: Life and Legacy of a Great Thinker is the definitive collection of essays in commemoration of the 90th birthday of Alan Turing. This fascinating text covers the rich facets of his life, thoughts, and legacy, but also sheds some light on the future of computing science with a chapter contributed by visionary Ray Kurzweil, winner of the 1999 National Medal of Technology. Further, important contributions come from the philosopher Daniel Dennett, the Turing biographer Andrew Hodges, and from the distinguished logician Martin Davis, who provides a first critical essay on an emerging and controversial field termed "hypercomputation".

Alan Turing: The Enigma

Alan Turing: The Enigma

The Book That Inspired the Film "The Imitation Game"

  • Author: Andrew Hodges
  • Publisher: Princeton University Press
  • ISBN: 1400865123
  • Category: Biography & Autobiography
  • Page: 768
  • View: 5155
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A NEW YORK TIMES BESTSELLER The official book behind the Academy Award-winning film The Imitation Game, starring Benedict Cumberbatch and Keira Knightley It is only a slight exaggeration to say that the British mathematician Alan Turing (1912-1954) saved the Allies from the Nazis, invented the computer and artificial intelligence, and anticipated gay liberation by decades--all before his suicide at age forty-one. This New York Times–bestselling biography of the founder of computer science, with a new preface by the author that addresses Turing's royal pardon in 2013, is the definitive account of an extraordinary mind and life. Capturing both the inner and outer drama of Turing’s life, Andrew Hodges tells how Turing’s revolutionary idea of 1936--the concept of a universal machine--laid the foundation for the modern computer and how Turing brought the idea to practical realization in 1945 with his electronic design. The book also tells how this work was directly related to Turing’s leading role in breaking the German Enigma ciphers during World War II, a scientific triumph that was critical to Allied victory in the Atlantic. At the same time, this is the tragic account of a man who, despite his wartime service, was eventually arrested, stripped of his security clearance, and forced to undergo a humiliating treatment program--all for trying to live honestly in a society that defined homosexuality as a crime. The inspiration for a major motion picture starring Benedict Cumberbatch and Keira Knightley, Alan Turing: The Enigma is a gripping story of mathematics, computers, cryptography, and homosexual persecution.

Turing (A Novel about Computation)

Turing (A Novel about Computation)

  • Author: Christos H. Papadimitriou
  • Publisher: MIT Press
  • ISBN: 9780262250788
  • Category: Fiction
  • Page: 296
  • View: 8944
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Our hero is Turing, an interactive tutoring program and namesake (or virtual emanation?) of Alan Turing, World War II code breaker and father of computer science. In this unusual novel, Turing's idiosyncratic version of intellectual history from a computational point of view unfolds in tandem with the story of a love affair involving Ethel, a successful computer executive, Alexandros, a melancholy archaeologist, and Ian, a charismatic hacker. After Ethel (who shares her first name with Alan Turing's mother) abandons Alexandros following a sundrenched idyll on Corfu, Turing appears on Alexandros's computer screen to unfurl a tutorial on the history of ideas. He begins with the philosopher-mathematicians of ancient Greece -- "discourse, dialogue, argument, proof...can only thrive in an egalitarian society" -- and the Arab scholar in ninth-century Baghdad who invented algorithms; he moves on to many other topics, including cryptography and artificial intelligence, even economics and developmental biology. (These lessons are later critiqued amusingly and developed further in postings by a fictional newsgroup in the book's afterword.) As Turing's lectures progress, the lives of Alexandros, Ethel, and Ian converge in dramatic fashion, and the story takes us from Corfu to Hong Kong, from Athens to San Francisco -- and of course to the Internet, the disruptive technological and social force that emerges as the main locale and protagonist of the novel.Alternately pedagogical and romantic, Turing (A Novel about Computation) should appeal both to students and professionals who want a clear and entertaining account of the development of computation and to the general reader who enjoys novels of ideas.