timtyler comments on A Request for Open Problems - Less Wrong

25 Post author: MrHen 08 May 2009 01:33PM

You are viewing a comment permalink. View the original post to see all comments and the full post content.

Comments (104)

You are viewing a single comment's thread. Show more comments above.

Comment author: Wei_Dai 09 May 2009 01:25:45AM 2 points [-]

I suspect the answer is no, at least not the kind of formal languages that have been suggested so far. The problem is this: as soon as you define a formal language, I can say "the lexicographically first object which can't be described in less than a million bits in your language". Given the uniqueness of this object, why should it be a priori as unlikely as a random million-bit string?

Comment author: timtyler 09 May 2009 08:16:17AM 1 point [-]

It doesn't sound too serious - if all the candidate languages have the same problem.

It is hard to deny that some languages are better than other ones, and so therefore there is a set of "best" ones. The intent of my first question was more along the lines of: is one formulation of Occam's razor optimal for all the different situations in which Occam's razor is used - or should we be using different descriptive languages under different circumstances.