Incorrect comments on GAZP vs. GLUT - Less Wrong
You are viewing a comment permalink. View the original post to see all comments and the full post content.
You are viewing a comment permalink. View the original post to see all comments and the full post content.
Comments (166)
I don't think we even need turing-completeness, really. Take a total language, and give it a loop-timeout of say 3^^^^3. It can compute anything we care about, and is still guaranteed to terminate in bounded time.
(I'm reminded of Godel's letter discussing P=NP - should such an algorithm be found, mathematicians could be replaced by a machine that searches all proofs with less than a few million symbols; anything that couldn't be proved with that many symbols would be of little to no interest to us.)
Are you sure? Maybe there are exist concise, powerful theorems that have really long proofs.
Oh good grief, since everyone here is intent on nitpicking the observation to death, here is his bloody letter: http://rjlipton.wordpress.com/the-gdel-letter/