Contents (Notes) General Notes 849 Notes 1 The Foundations for a New Kind of Science 859 Notes 2 The Crucial Experiment 865 Notes 3 The World of Simple Programs 883 Notes 4 Systems Based on Numbers 901 Notes 5 Two Dimensions and Beyond 927 Notes 6 Starting from Randomness 947 Notes 7 Mechanisms in Programs and Nature 967 Notes 8 Implications for Everyday Systems 991 Notes 9 Fundamental Physics 1017 Notes 10 Processes of Perception and Analysis 1067 Notes 11 The Notion of Computation 1107 Notes 12 The Principle of Computational Equivalence 1125

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