Tim May wrote:
Except I'll add that I don't agree physics is stumped by most complex
systems. Physics doesn't try to explain messy and grungy situations,
nor should it. Turbulence is a special case, and I expect progress will
be made, especially using math (which is why Navier-Stokes issues
Tim May wrote:
As I hope I had made clear in some of my earlier posts on this, mostly
this past summer, I'm not making any grandiose claims for category
theory and topos theory as being the sine qua non for understanding the
nature of reality. Rather, they are things I heard about a decade or
From Osher Doctorow [EMAIL PROTECTED], Sunday Dec. 1, 2002 1243
Sorry for keeping prior messages in their entirety in my replies.
Let us consider the decision of category theory to use functors and
morphisms under composition and objects and commuting diagrams as their
fundamentals. Because of
Hal Finney wrote:
That would be true IF you include descriptions that are infinitely long.
Then the set of all descriptions would be of cardinality c. If your
definition of a description implies that each one must be finite, then the
set of all of them would have cardinality aleph-zero.
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