The once and future Turing: computing the world

Preface

Introduction

Part One: Inside our computable world, and the mathematics of universality. Algorithms, equations, and logic ; The forgotten Turing ; Turing and the primes ; Cryptography and computation after Turing ; Alan Turing and enigmatic statistics

Part Two: The computation of processes, and not computing the brain. What Alan Turing might have discovered ; Designed versus intrinsic computation ; Dull rigid human meets ace mechanical translator

Part Three: The reverse engineering road to computing life. Turing's theory of developmental pattern formation ; Walking tightrope: the dilemma of hierarchical instabilities in Turing's morphogenesis

Part Four: Biology, mind, and the outer reaches of quantum computation. Answering Descartes: beyond Turing ; The ghost in the quantum Turing machine

Part Five: Oracles, infinitary computation, and the physics of the mind. Turing's 'Oracle': from absolute to relative computability and back ; Turing transcendent: beyond the event horizon ; On attempting to model the mathematical mind

Afterword.