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But although what I wrote seemed to be very well received, I gradually came to realize that technical papers scattered across the journals of all sorts of fields could never successfully communicate the kind of major new intellectual structure that I seemed to be beginning to build.
In the actual building of the index in this book, sorting, processing and checking were done using a variety of automated Mathematica procedures, operating on a symbolic representation of the full text and index of the book.
But in practice methods based, for example, on genetic programming seem to do at best only about as well as all sorts of other methods discussed in this chapter.
But now, with the discovery that simple programs can capture the essential mechanisms for all sorts of complex behavior in nature, one can imagine just sampling such programs to explore generalizations of the forms we see in nature.
One can look at all sorts of other physical systems, but so far as I can tell the story is always more or less the same: whenever there is behavior of significant complexity its most plausible explanation tends to be some explicit process of evolution, not the implicit satisfaction of constraints.
But despite all sorts of discussion over the years, no clear understanding has ever emerged of just why such processes should in the end actually lead to much complexity at all.
For even though the individual cells in the array might be extremely small, one might still imagine that one would for example see all sorts of signs of the overall orientation of the array.
Most likely the intrinsic properties of a particle—like its electric charge—will be associated with some sort of core that corresponds to a definite network structure involving a roughly fixed number of nodes.
And certainly there are all sorts of situations in which rules are constrained to have behavior that is too simple to support universality.
And in the context of such models what I have discovered is that there is indeed all sorts of evidence for the Principle of Computational Equivalence.