(Page 0955f) Notes for: Starting from Randomness | Special Initial Conditions Fractal dimensions [of additive cellular automata] The total number of nonzero cells in the ...

(Page 0009) a foundation -- leading to the notion that general observations about living systems should normally be analyzed on the basis of evolutionary history rather than ...

(Page 0517) But if one has a system that yields the same causal network independent of the scheme used to apply its underlying rules, then the situation is different. And in ...

(Page 0674) Implications of Universality When we first discussed cellular automata, Turing machines, substitution systems, register machines and so on in Chapter 3 , each of ...

(Page 0780) any proof -- regardless of length -- exists for a specific result in a mathematical system with particular axioms. So what are the implications of this? Probably ...

(Page 0852f) Stephen Wolfram: A New Kind of Science | Online The Book Store Downloads Education Archives Forum Jump to Page Look Up in Index Search General Notes > Section 1 ...

(Page 1136a) Notes for: The Principle of Computational Equivalence | The Phenomenon of Free Will Responsibility [and free will] It is often assumed that if there are definite ...

(Page 0004) From the tradition of the existing sciences one might expect that its answer would depend on all sorts of details, and be quite different for different types of ...

(Page 0040) For our everyday experience has led us to expect that an object that looks complicated must have been constructed in a complicated way. And so, for example, if we ...

(Page 0042) Why These Discoveries Were Not Made Before The main result of this chapter -- that programs based on simple rules can produce behavior of great complexity -- ...