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.

cousin_it comments on Explanations for Less Wrong articles that you didn't understand - Less Wrong Discussion

18 Post author: Kaj_Sotala 31 March 2014 11:19AM

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

Comments (118)

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

Comment author: John_Maxwell_IV 01 April 2014 07:17:29AM 3 points [-]

I was reading Eliezer's cartoon proof of Lob's theorem the other day and I didn't get it. My assumption was that in order to understand it, I would need a decent background in mathematical logic, e.g. actually know what Peano Arithmetic is as opposed to abstracting it away as a talking head that tells us things. (I know vector calculus, linear algebra, programming, and basic logic but that's about as far as I go.) If Lob's theorem is something that I should be able to understand the proof of given that background, I'd be interested to know that.

Comment author: cousin_it 01 April 2014 10:24:06AM 0 points [-]

If you already understand Gödel's first and second incompleteness theorems, then you can find a much simpler proof of Löb's theorem in this pdf, pages 6-7.