(Page 0933g) Notes for: Two Dimensions and Beyond | Substitution Systems and Fractals Fractal dimensions Certain features of nested patterns can be characterized by so-called ...

(Page 1010d) Notes for: Implications for Everyday Systems | Growth of Plants and Animals Parametrizations of [biological] growth The idea that different objects -- say ...

(Page 1080g) Notes for: Processes of Perception and Analysis | Auditory Perception Sound compression Sound compression has in practice mostly been applied to human speech. In ...

(Page 1082d) Notes for: Processes of Perception and Analysis | Statistical Analysis History [of statistics] Some computations of odds for games of chance were already made in ...

(Page 0750) this book even systems with very simple underlying rules can still perform computations that are as sophisticated as in any system. And what this means is that to ...

(Page 0831) And indeed this is true of any system. But as a practical matter we often end up describing what systems do in terms of purpose when this seems to us simpler than ...

(Page 1134c) Notes for: The Principle of Computational Equivalence | Computational Irreducibility [Computation of] mathematical functions The number of bit operations needed ...

(Page 1185a) Notes for: The Principle of Computational Equivalence | Intelligence in the Universe Teleology There is a common tendency to project human purposes onto natural ...

(Page 1048a) Notes for: Fundamental Physics | The Phenomenon of Gravity Differential geometry Standard descriptions of properties like curvature -- as used for example in ...

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