(Page 0937b) Notes for: Two Dimensions and Beyond | Multiway Systems General properties [of multiway systems] The merging of states (as done above by Union ) is crucial to ...

(Page 0967a) Notes for: Mechanisms in Programs and Nature | Universality of Behavior History [of universality of behavior] That very different natural and artificial systems ...

(Page 0981c) Notes for: Mechanisms in Programs and Nature | Origins of Discreteness Phase transitions The discrete transitions shown in cellular automata in this section are ...

(Page 0994e) Notes for: Implications for Everyday Systems | The Breaking of Materials Phenomenology of microscopic fracture Different materials show rather different ...

(Page 1017c) Notes for: Fundamental Physics | The Notion of Reversibility Inverse [cellular automaton] rules Some reversible rules are self-inverse, so that applying the same ...

(Page 1023c) Notes for: Fundamental Physics | Conserved Quantities and Continuum Phenomena Local conservation laws Whenever a system like a cellular automaton (or PDE) has a ...

(Page 1040i) Notes for: Fundamental Physics | Space, Time and Relativity Posets The way I set things up, collections of events can be thought of as partially ordered sets ...

(Page 1042a) Notes for: Fundamental Physics | Space, Time and Relativity Standard treatment [of relativity] In a standard treatment of relativity theory one way to begin is ...

(Page 1143a) Notes for: The Principle of Computational Equivalence | Undecidability and Intractability History [of computational complexity theory] Ideas of characterizing ...

(Page xi) It has been a great challenge for me to capture the things I have discovered over the past twenty years in a book of manageable size. And to do so I have often ...