O O O OO O hi.
OOOO OO i've just stumbled upon this discussion - i'm
OO O trying to catch up. i have a question/comment -
OO OOO OO i'm wondering if it's been raised before - and
O OOO O O which message i should jump forward to to find
O OOOO its answer.
O O O
O OO OO Max Tegmark suggests that ".. all mathematical
O O OOOO structures are a priori given equal statistical
OO OO O weight" and Jurgen Schmidhuber counters that
O O OOO "there is no way of assigning nonvanishing
OOO O probability to all (infinitely many)
OO OOOOO mathematical structures" and he then goes on
O (i think) to assign a weighting based upon
OO OOO time-complexity.
O OO O O
O O OOO i have to say i find Tegmark's argument more
OOOOOO O persuasive - i can't see why the great
O OOOOO programmer should be worried about runtime.
O OOOOO OO furthermore, i feel intuitively that the
O O universes ought to have equal weight.
OO OO such a sort of probability can be defined, of
O O O course, by taking the limit as finite subsets
OOOOOOOO O approach the full infinite set. as long as we
O O OOO get the same answer regardless of the order in
O O O which we grow the subset, the limit can be said
OOO O O O to be defined.
O O O O
O O O the problem is - such a view predicts that we
O O OO live in a universe of high Kolmogorov complexity
OO OO O - not low complexity.
OOOOO OO O but i don't see why this is such a surprise
O O - living in such a universe, we ought to see
OO OO O events occur which we cannot effectively
O OOO O O predict. but that is exactly what we do see.
OO O O O thanks.
O O O