The Annotated Turing

Author: Charles Petzold
Publisher: John Wiley & Sons
ISBN: 9780470229057
Release Date: 2008-06-16
Genre: Computers

Provides an expansion of Turing's original paper, a brief look at his life, and information on the Turing machine and computability topics.

Alan Turing His Work and Impact

Author: S. Barry Cooper
Publisher: Elsevier
ISBN: 9780123870124
Release Date: 2013-03-18
Genre: Mathematics

In this 2013 winner of the prestigious R.R. Hawkins Award from the Association of American Publishers, as well as the 2013 PROSE Awards for Mathematics and Best in Physical Sciences & Mathematics, also from the AAP, readers will find many of the most significant contributions from the four-volume set of the Collected Works of A. M. Turing. These contributions, together with commentaries from current experts in a wide spectrum of fields and backgrounds, provide insight on the significance and contemporary impact of Alan Turing's work. Offering a more modern perspective than anything currently available, Alan Turing: His Work and Impact gives wide coverage of the many ways in which Turing's scientific endeavors have impacted current research and understanding of the world. His pivotal writings on subjects including computing, artificial intelligence, cryptography, morphogenesis, and more display continued relevance and insight into today's scientific and technological landscape. This collection provides a great service to researchers, but is also an approachable entry point for readers with limited training in the science, but an urge to learn more about the details of Turing's work. 2013 winner of the prestigious R.R. Hawkins Award from the Association of American Publishers, as well as the 2013 PROSE Awards for Mathematics and Best in Physical Sciences & Mathematics, also from the AAP Named a 2013 Notable Computer Book in Computing Milieux by Computing Reviews Affordable, key collection of the most significant papers by A.M. Turing Commentary explaining the significance of each seminal paper by preeminent leaders in the field Additional resources available online

The Essential Turing

Author: Alan Mathison Turing
Publisher: Oxford University Press
ISBN: 9780198250791
Release Date: 2004-09-09
Genre: Computers

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.

Turing s Vision

Author: Chris Bernhardt
Publisher: MIT Press
ISBN: 9780262034548
Release Date: 2016-05-13
Genre: Biography & Autobiography

In 1936, when he was just twenty-four years old, Alan Turing wrote a remarkable paper in which he outlined the theory of computation, laying out the ideas that underlie all modern computers. This groundbreaking and powerful theory now forms the basis of computer science. In Turing's Vision, Chris Bernhardt explains the theory, Turing's most important contribution, for the general reader. Bernhardt argues that the strength of Turing's theory is its simplicity, and that, explained in a straightforward manner, it is eminently understandable by the nonspecialist. As Marvin Minsky writes, "The sheer simplicity of the theory's foundation and extraordinary short path from this foundation to its logical and surprising conclusions give the theory a mathematical beauty that alone guarantees it a permanent place in computer theory." Bernhardt begins with the foundation and systematically builds to the surprising conclusions. He also views Turing's theory in the context of mathematical history, other views of computation (including those of Alonzo Church), Turing's later work, and the birth of the modern computer. In the paper, "On Computable Numbers, with an Application to the Entscheidungsproblem," Turing thinks carefully about how humans perform computation, breaking it down into a sequence of steps, and then constructs theoretical machines capable of performing each step. Turing wanted to show that there were problems that were beyond any computer's ability to solve; in particular, he wanted to find a decision problem that he could prove was undecidable. To explain Turing's ideas, Bernhardt examines three well-known decision problems to explore the concept of undecidability; investigates theoretical computing machines, including Turing machines; explains universal machines; and proves that certain problems are undecidable, including Turing's problem concerning computable numbers.

Turing s Cathedral

Author: George Dyson
Publisher: Penguin UK
ISBN: 9780718194505
Release Date: 2012-03-01
Genre: Science

How did computers take over the world? In late 1945, a small group of brilliant engineers and mathematicians gathered at the newly created Institute for Advanced Study in Princeton, New Jersey. Their ostensible goal was to build a computer which would be instrumental in the US government's race to create a hydrogen bomb. The mathematicians themselves, however, saw their project as the realization of Alan Turing's theoretical 'universal machine.' In Turing's Cathedral, George Dyson vividly re-creates the intense experimentation, incredible mathematical insight and pure creative genius that led to the dawn of the digital universe, uncovering a wealth of new material to bring a human story of extraordinary men and women and their ideas to life. From the lowliest iPhone app to Google's sprawling metazoan codes, we now live in a world of self-replicating numbers and self-reproducing machines whose origins go back to a 5-kilobyte matrix that still holds clues as to what may lie ahead.

Philosophical Explorations of the Legacy of Alan Turing

Author: Juliet Floyd
Publisher: Springer
ISBN: 9783319532806
Release Date: 2017-05-29
Genre: Science

This volume presents an historical and philosophical revisiting of the foundational character of Turing’s conceptual contributions and assesses the impact of the work of Alan Turing on the history and philosophy of science. Written by experts from a variety of disciplines, the book draws out the continuing significance of Turing’s work. The centennial of Turing’s birth in 2012 led to the highly celebrated “Alan Turing Year”, which stimulated a world-wide cooperative, interdisciplinary revisiting of his life and work. Turing is widely regarded as one of the most important scientists of the twentieth century: He is the father of artificial intelligence, resolver of Hilbert’s famous Entscheidungsproblem, and a code breaker who helped solve the Enigma code. His work revolutionized the very architecture of science by way of the results he obtained in logic, probability and recursion theory, morphogenesis, the foundations of cognitive psychology, mathematics, and cryptography. Many of Turing’s breakthroughs were stimulated by his deep reflections on fundamental philosophical issues. Hence it is fitting that there be a volume dedicated to the philosophical impact of his work. One important strand of Turing’s work is his analysis of the concept of computability, which has unquestionably come to play a central conceptual role in nearly every branch of knowledge and engineering.

World Game

Author: Josh Pang
Publisher: Josh Pang
Release Date:

My thesis explores the idea that Buckminster Fuller’s World Game is really a formal calculus capable of representing world-scale sustainability problem-solving according to the fundamental principles of a (blockchain) database + (Fuller projection) map + (machine learning) simulation in the form of a game. These computational media comprise an operational formalism which embraces all effective procedures for world-scale problem-solving. If this hypothesis is true, then that would mean World Game’s comprehensive use of the aforementioned fundamental principles are necessary for a sustainable Earth-scale civilization. Furthermore, the protocol for solution formation in the form of World Game “game” is sufficient for solving the problem of “making the world work for 100% of humanity in the shortest possible time through spontaneous cooperation without ecological offense or the disadvantage of anyone” — the objective of World Game. If this hypothesis of sufficiency is true, that means World Game’s principles are in effect synonymous with the process of making the world work. In plain English, a problem-solving engine like World Game is necessary for the survival of humanity, period.

Holy Sci Fi

Author: Paul J. Nahin
Publisher: Springer Science & Business Media
ISBN: 9781493906185
Release Date: 2014-04-09
Genre: Science

Can a computer have a soul? Are religion and science mutually exclusive? Is there really such a thing as free will? If you could time travel to visit Jesus, would you (and should you)? For hundreds of years, philosophers, scientists and science fiction writers have pondered these questions and many more. In Holy Sci-Fi!, popular writer Paul Nahin explores the fertile and sometimes uneasy relationship between science fiction and religion. With a scope spanning the history of religion, philosophy and literature, Nahin follows religious themes in science fiction from Feynman to Foucault and from Asimov to Aristotle. An intriguing journey through popular and well-loved books and stories, Holy Sci-Fi! shows how sci-fi has informed humanity's attitudes towards our faiths, our future and ourselves.

Turing Machine Universality of the Game of Life

Author: Paul Rendell
Publisher: Springer
ISBN: 9783319198422
Release Date: 2015-07-21
Genre: Technology & Engineering

This book presents a proof of universal computation in the Game of Life cellular automaton by using a Turing machine construction. It provides an introduction including background information and an extended review of the literature for Turing Machines, Counter Machines and the relevant patterns in Conway's Game of Life so that the subject matter is accessibly to non specialists. The book contains a description of the author’s Turing machine in Conway’s Game of Life including an unlimited storage tape provided by growing stack structures and it also presents a fast universal Turing machine designed to allow the working to be demonstrated in a convenient period of time.

Computer Science

Author: Kyle Kirkland
Publisher: Infobase Publishing
ISBN: 9780816074419
Release Date: 2010
Genre: Computers

Presents recent research and discoveries in the field of computer science, including information on artificial intelligence networks, bioinformatics, and encryption.

Business Research Methodology With Cd

Author: Srivastava
Publisher: Tata McGraw-Hill Education
ISBN: 0070159106
Release Date: 1958
Genre: Business

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.

Computability Theory

Author: Neil D. Jones
Publisher: Academic Press
ISBN: 9781483218489
Release Date: 2014-06-20
Genre: Mathematics

Computability Theory: An Introduction provides information pertinent to the major concepts, constructions, and theorems of the elementary theory of computability of recursive functions. This book provides mathematical evidence for the validity of the Church–Turing thesis. Organized into six chapters, this book begins with an overview of the concept of effective process so that a clear understanding of the effective computability of partial and total functions is obtained. This text then introduces a formal development of the equivalence of Turing machine computability, enumerability, and decidability with other formulations. Other chapters consider the formulas of the predicate calculus, systems of recursion equations, and Post's production systems. This book discusses as well the fundamental properties of the partial recursive functions and the recursively enumerable sets. The final chapter deals with different formulations of the basic ideas of computability that are equivalent to Turing-computability. This book is a valuable resource for undergraduate or graduate students.

Alan Turing s Systems of Logic

Author: Andrew W. Appel
Publisher: Princeton University Press
ISBN: 9780691164731
Release Date: 2014-11-16
Genre: Computers

Between inventing the concept of a universal computer in 1936 and breaking the German Enigma code during World War II, Alan Turing (1912-1954), the British founder of computer science and artificial intelligence, came to Princeton University to study mathematical logic. Some of the greatest logicians in the world--including Alonzo Church, Kurt Gödel, John von Neumann, and Stephen Kleene--were at Princeton in the 1930s, and they were working on ideas that would lay the groundwork for what would become known as computer science. This book presents a facsimile of the original typescript of Turing's fascinating and influential 1938 Princeton PhD thesis, one of the key documents in the history of mathematics and computer science. The book also features essays by Andrew Appel and Solomon Feferman that explain the still-unfolding significance of the ideas Turing developed at Princeton. A work of philosophy as well as mathematics, Turing's thesis envisions a practical goal--a logical system to formalize mathematical proofs so they can be checked mechanically. If every step of a theorem could be verified mechanically, the burden on intuition would be limited to the axioms. Turing's point, as Appel writes, is that "mathematical reasoning can be done, and should be done, in mechanizable formal logic." Turing's vision of "constructive systems of logic for practical use" has become reality: in the twenty-first century, automated "formal methods" are now routine. Presented here in its original form, this fascinating thesis is one of the key documents in the history of mathematics and computer science.

The Turing omnibus

Author: A. K. Dewdney
Publisher: W H Freeman & Co
ISBN: UOM:49015000367392
Release Date: 1989
Genre: Computers

Discusses a variety of topics in computer science, from cryptography and recursion to artificial intelligence and simulation

Computability and Logic

Author: George S. Boolos
Publisher: Cambridge University Press
ISBN: 9781107049277
Release Date: 2007-09-17
Genre: Philosophy

Computability and Logic has become a classic because of its accessibility to students without a mathematical background and because it covers not simply the staple topics of an intermediate logic course, such as Godel's incompleteness theorems, but also a large number of optional topics, from Turing's theory of computability to Ramsey's theorem. This 2007 fifth edition has been thoroughly revised by John Burgess. Including a selection of exercises, adjusted for this edition, at the end of each chapter, it offers a simpler treatment of the representability of recursive functions, a traditional stumbling block for students on the way to the Godel incompleteness theorems. This updated edition is also accompanied by a website as well as an instructor's manual.