timtyler comments on A Request for Open Problems - Less Wrong
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Comments (104)
Note that in general, this sort of specification is uncomputable. To find the lexicographically first object which can't be described in less than a million bits, we would have to make a list of all objects which can be described in less than a million bits (and return the first thing that's not on the list). But we don't know if our UTM will halt for any given string with less than a million bits, so we can never know if our list is complete.
Not a serious problem - just consider objects which can't be described in less than a million bits after a million timesteps instead.
If a problem is so serious that you have to change your prior, then I'd call that a serious problem.
Did you understand why the problem is not serious? Your comment was nit-picking the example. Other similar examples make exactly the same point - but are not vulnerable to such nit-picking.