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Martin Davis on Computability, Computational Logic, and Mathematical Foundations

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Cover of 'Martin Davis on Computability, Computational Logic, and Mathematical Foundations'

Table of Contents

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    Book Overview
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    Chapter 1 My Life as a Logician
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    Chapter 2 Martin Davis and Hilbert’s Tenth Problem
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    Chapter 3 Extensions of Hilbert’s Tenth Problem: Definability and Decidability in Number Theory
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    Chapter 4 A Story of Hilbert’s Tenth Problem
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    Chapter 5 Hyperarithmetical Sets
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    Chapter 6 Honest Computability and Complexity
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    Chapter 7 Why Post Did [Not] Have Turing’s Thesis
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    Chapter 8 On Quantum Computation, Anyons, and Categories
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    Chapter 9 Taking Physical Infinity Seriously
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    Chapter 10 Banishing Ultrafilters from Our Consciousness
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    Chapter 11 What Is Essential Unification?
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    Chapter 12 DPLL: The Core of Modern Satisfiability Solvers
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    Chapter 13 On Davis’s “Pragmatic Platonism”
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    Chapter 14 Pragmatic Platonism
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    Chapter 15 Concluding Comments by Martin
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    Chapter 16 Martin Davis’s Bibliography 1950–2015
Attention for Chapter 4: A Story of Hilbert’s Tenth Problem
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