(Page 1177b) Notes for: The Principle of Computational Equivalence | Implications for Mathematics and Its Foundations Mathematics and the brain A possible reason for some ...

(Page 1193c) Notes for: The Principle of Computational Equivalence | Implications for Technology Searching for technology Many inventions are made by pure ingenuity ...

(Page 1193e) Notes for: The Principle of Computational Equivalence | Implications for Technology [Implications for] chemistry Chemical compounds are a little like cellular ...

(Page 0878a) Notes for: The Crucial Experiment | Why These Discoveries Were Not Made Before Close approaches [to core discoveries] The basic phenomena in this chapter have ...

(Page 1147d) Notes for: The Principle of Computational Equivalence | Undecidability and Intractability Quantum computers In an ordinary classical setup one typically ...

(Page 1056a) Notes for: Fundamental Physics | Quantum Phenomena History [of quantum theory] In classical physics quantities like energy were always assumed to correspond to ...

(Page 0865a) Notes for: The Crucial Experiment | How Do Simple Programs Behave? Implementing cellular automata It is convenient to represent the state of a cellular automaton ...

(Page 0989c) Notes for: Mechanisms in Programs and Nature | Origins of Simple Behavior Self-organized criticality The fact that in traditional statistical mechanics nesting ...

(Page 1121b) Notes for: The Notion of Computation | Universality in Turing Machines and Other Systems [Universal] recursive functions The general recursive functions from ...

(Page 0874b) Notes for: The Crucial Experiment | Why These Discoveries Were Not Made Before The concept of rules Processes based on rules occur in a great many areas of human ...