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

  • ID: 2251348
  • Book
  • 384 Pages
  • John Wiley and Sons Ltd
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Before digital computers ever existed, Alan Turing envisioned their power and versatility...but also proved what computers could never do.

In an extraordinary and ultimately tragic life that unfolded like a novel, Turing helped break the German Enigma code to turn the tide of World War II, later speculated on artificial intelligence, fell victim to the homophobic witchhunts of the early 1950s, and committed suicide at the age of 41. Yet Turing is most famous for an eerily prescient 1936 paper in which he invented an imaginary computing machine, explored its capabilities and intrinsic limitations, and established the foundations of modern–day programming and computability.

This absorbing book expands Turing′s now legendary 36–page paper with extensive annotations, fascinating historical context, and page–turning glimpses into his private life. From his use of binary numbers to his exploration of concepts that today′s programmers will recognize as RISC processing, subroutines, algorithms, and others, Turing foresaw the future and helped to mold it. In our post–Turing world, everything is a Turing Machine from the most sophisticated computers we can build, to the hardly algorithmic processes of the human mind, to the information–laden universe in which we live.

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Introduction vii

I Foundations 1

1 This Tomb Holds Diophantus 3

2 The Irrational and the Transcendental 13

3 Centuries of Progress 35

II Computable Numbers 55

4 The Education of Alan Turing 57

5 Machines at Work 79

6 Addition and Multiplication 97

7 Also Known as Subroutines 111

8 Everything Is a Number 127

9 The Universal Machine 143

10 Computers and Computability 163

11 Of Machines and Men 189

III Das Entscheidungsproblem 199

12 Logic and Computability 201

13 Computable Functions 231

14 The Major Proof 259

15 The Lambda Calculus 281

16 Conceiving the Continuum 299

IV And Beyond 323

17 Is Everything a Turing Machine? 325

18 The Long Sleep of Diophantus 351

Selected Bibliography 361

Index 366

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Charles Petzold
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