(Page 1180b) Notes for: The Principle of Computational Equivalence | Intelligence in the Universe Bird songs Essentially all birds produce calls of some kind, but complex ...

(Page 0085) To get behavior that is more complicated than simple nesting, it follows therefore that one must consider substitution systems whose rules depend not only on the ...

(Page 0136) Mathematical Constants The last few sections [ 2 , 3 , 4 ] have shown that one can set up all sorts of systems based on numbers in which great complexity can ...

(Page 0201) becomes possible. And indeed, the pictures on the next two pages [ 202 , 203 ] show examples of what can happen if the rules are allowed to depend on the number ...

(Page 0205) the idea is to do all possible replacements at each step -- and then to keep all the possible different sequences that are generated. The pictures below show what ...

(Page 0307) further. And then in the first case, the subsequent motion looks quite random. But in the second case it is fairly regular. So why is this? A little analysis ...

(Page 0648) On each page the underlying rules for the universal cellular automaton are exactly the same. But on the first page , the initial conditions are set up so as to ...

(Page 0715) The Principle of Computational Equivalence Basic Framework Following the discussion of the notion of computation in the previous chapter , I am now ready in this ...

(Page 1004b) Notes for: Implications for Everyday Systems | Growth of Plants and Animals Branching in plants Almost all kinds of plants exhibit some form of branching, and ...

(Page 1031h) Notes for: Fundamental Physics | The Relationship of Space and Time History [of views of time] The idea of representing time graphically like space has a long ...