Contents

pp v-viii

Contributors

pp ix-x

Preface

pp xi-xii

Introduction

pp xiii-xviii

Part One - Inside Our Computable World, and the Mathematics of Universality

pp 1-3

1 - Algorithms, Equations, and Logic

pp 4-19

2 - The Forgotten Turing

pp 20-33

3 - Turing and the Primes

pp 34-52

4 - Cryptography and Computation after Turing

pp 53-77

5 - Alan Turing and Enigmatic Statistics

pp 78-89

Part Two - The Computation of Processes, and Not Computing the Brain

pp 90-91

6 - What Alan Turing Might Have Discovered

pp 92-105

7 - Designed versus Intrinsic Computation

pp 106-116

8 - Dull Rigid Human meets Ace Mechanical Translator

pp 117-128

Part Three - The Reverse Engineering Road to Computing Life

pp 129-130

9 - Turing's Theory of Developmental Pattern Formation

pp 131-143

10 - Walking the Tightrope: The Dilemma of Hierarchical Instabilities in Turing's Morphogenesis

pp 144-159

Part Four - Biology, Mind, and the Outer Reaches of Quantum Computation

pp 160-162

11 - Answering Descartes: Beyond Turing

pp 163-192

12 - The Ghost in the Quantum Turing Machine

pp 193-296

Part Five - Oracles, Infinitary Computation, and the Physics of the Mind

pp 297-299

13 - Turing's ‘Oracle’: From Absolute to Relative Computability and Back

pp 300-334

14 - Turing Transcendent: Beyond the Event Horizon

pp 335-360

15 - On Attempting to Model the Mathematical Mind

pp 361-378

Afterword

pp 379-379