Book:Rudy Rucker/Mind Tools

Contents

 * INTRODUCTION: THE FIVE MODES OF THOUGHT
 * Mathematics as Information
 * Number and Space
 * Logic and Infinity
 * Psychological Roots of Mathematical Concepts
 * Information and Communication
 * A History of Ideas


 * 1 NUMBER
 * Zero and One
 * Numbers and Logs
 * Number Patterns
 * Numerology, Numberskulls, and Crowds
 * The Mind Reckoner
 * Words as Numbers
 * The Limits of Knowledge


 * 2 SPACE
 * Math Space and Real Space
 * Tiles, Cells, Pixels, and Grids
 * Algebraic Curves
 * Wiggles and Whorls
 * Endless Complexity
 * Fractals
 * Life Is a Fractal in Hilbert Space
 * Hilbert Space


 * 3 LOGIC
 * The Laws of Thought
 * The Syllogism
 * Symbolic logic
 * Exploring Logical Space
 * Godel's Theorem
 * Turing Machines
 * Unsolvable Problems
 * The Ocean of Truth


 * 4 INFINITY AND INFORMATION
 * How Big Is Infinity?
 * Information and the Continuum Problem
 * Infinitesimals in Perspective
 * Algorithmic Complexity
 * Inconceivability
 * Runtime
 * Everything Is Information


 * Index