O like i said first, i'm not the first person to
O think along these lines. in one sense this is
disappointing, but in another, at least i'm no
OOO longer afraid i'm insane.
OOOO
OO Max Tegmark has a paper which was the cover
OO story for new scientist magazine. he too argues
OOOO that mathematical existence is the same as
OOO O physical existence. his system, however, uses
OO OO sets of axioms, not Turing machines. i think
OOOO Turing machines are easier to reason about (and
OOOO allow us to discuss complexity, for instance.)
OOOOO http://www.hep.upenn.edu/~max/toe_press.html
OOOOOO
OOO OO
OOO OOO Jurgen Schmidhuber does use Turing machines,
OOOOOOOO and does discuss Komogorov complexity. he,
OOOOOOOOOO however, imposes an ordering on his universes,
OOOOOOOOO and uses it to argue that typical universes
OOOOOOOOO ought to have small K-complexity. i don't see
OOOOOOOO why his ordering is valid, and i see good
O OOOOOOO reason why K-complexity ought to be large.
O OOO OOO http://www.idsia.ch/~juergen/toesv2/
OOOOOOOO O
OOOOOOOOOO i'm sure there are others - if you know of any
OOOOOOOOOO please send them my way.
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