🚀 go-pugleaf

In article <3750@uceng.UC.EDU> dmocsny@uceng.UC.EDU (daniel mocsny) writes:

   Can any phenomenon be so truly uncomputable that no logical process
   could behave equivalently (if not exactly)?

yes.

   The presence of such phenomena would seem to imply a universe where
   theory is of no value at all.

no.



virtually all chaotic dynamical systems have the characteristic of a
computational horizon beyond which any particular computer cannot keep
up with the physical system in doing the simulation.  

the reason for this is that sensitive dependence on initial conditions
requires that the arithmetic that needs to be done gets harder and
harder to do fast enough to keep up with real time.  before too long,
you have a system which requires a computer larger than the entire
universe to predict.

all of this assumes that real numbers have some relevance to the real
world, which would be pretty hard to verify.



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