You're looking at Less Wrong's discussion board. This includes all posts, including those that haven't been promoted to the front page yet. For more information, see About Less Wrong.

jimrandomh comments on Gödel and Bayes: quick question - Less Wrong Discussion

1 Post author: hairyfigment 14 April 2011 06:12AM

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

Article Navigation

Comments (36)
Tags: math epistemology

Comments (36)

You are viewing a single comment's thread.

Comment author: jimrandomh 14 April 2011 12:09:06PM 1 point [-]

So, can we or can't we write a mathematically meaningful version of the statement, "This statement has less than .5 probability within the system"?

That would lead to a self-containing set, which is infinite. Infinite sets are allowed only if they're approached by a convergent limiting expression, which is not given here, so Bayesian statistics of the E.T. Jaynes variety would not assign that statement a probability at all.

Comment author: DanielLC 14 April 2011 05:39:59PM 4 points [-]

Gödel's sentence doesn't use a self-containing set. This is supposed to work the same.

Powered by Reddit Powered by Reddit