Jason Cawley
Wolfram Science Group
Phoenix, AZ USA
Registered: Aug 2003
Posts: 712 |
He is thinking first of physics, his own past field. But also chemistry, materials science, geology, etc. He is also thinking of the formal methods, the use of differential equations to describe fields, which show significantly greater complexity in 2 or 3 dimensions (PDEs vs. ODEs) and are usually studied in that context. Thus the comments about shapes and knotted structures. His overall point is that the forms of complexity possible (at least in the broad sense of behaviorial classes) have already appeared in the one dimensional case, when it comes to the complexity generated by simple programs. Later in the book he cites examples of computational universality in 1D systems to emphasis the point.
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03-04-2009 05:10 PM
