Re: Math and the mysterious
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3) Above and beyond the issue of mathematics, I think there is an underlying implication in Wigner's statement that it is not a priori obvious that the world had to behave in such a regular, systematic way that could yield to human explanation at all. (I didn't read the article, perhaps he makes this explicit.) And as far as I know, there is no rational explanation for that.
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I invoke the anthropic principle again. If the world were not orderly, life could not develop. Any kind of self-replicating system needs a consistent set of rules to follow for the process to be repeatable, a prerequisite of life. If the world were not orderly, we wouldn't be here to worry about it. So the fact that the world is orderly is not profound at all.
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