(Page 1068b) Notes for: Processes of Perception and Analysis | Defining Complexity History [of complexity definitions] There have been terms for complexity in everyday ...

(Page 0005) all its development over the past few thousand years mathematics itself has continued to concentrate only on rather specific types of abstract systems -- most ...

(Page 0012) Some Past Initiatives My goals in this book are sufficiently broad and fundamental that there have inevitably been previous attempts to achieve at least some of ...

(Page 0024) An important feature of cellular automata is that their behavior can readily be presented in a visual way. And so the picture below shows what one cellular ...

(Page 0026) This time the rule specifies that a cell should be black when either its left neighbor or its right neighbor -- but not both -- were black on the step before. And ...

(Page 0041) instructions one can get all sorts of complex behavior is similar to the phenomenon we have seen in cellular automata. But there is an important difference. For ...

(Page 0071) Mobile Automata One of the basic features of a cellular automaton is that the colors of all the cells it contains are updated in parallel at every step in its ...

(Page 0095) Cyclic Tag Systems The basic operation of the tag systems that we discussed in the previous section is extremely simple. But it turns out that by using a slightly ...

(Page 0193) Network Systems One feature of systems like cellular automata is that their elements are always set up in a regular array that remains the same from one step to ...

(Page 0327) The Phenomenon of Continuity Many systems that we encounter in nature have behavior that seems in some way smooth or continuous. Yet cellular automata and most of ...