= 27d567bc2d48d9f40e9ccc20ea370b15)
Cyan comments on We won't be able to recognise the human Gödel sentence - Less Wrong Discussion
You are viewing a comment permalink. View the original post to see all comments and the full post content.
= 783df68a0f980790206b9ea87794c5b6)
Loading…= b715d02e85f7b3b4ae65ca3d3e450868)
Subscribe to RSS Feed
Powered by Reddit
= f037147d6e6c911a85753b9abdedda8d)
You are viewing a comment permalink. View the original post to see all comments and the full post content.
Comments (33)
Theorem 1: Stuart Armstrong cannot prove this sentence is true. (G-SA)
Proof (by contradiction): Suppose not-G-SA is true, that is, Stuart Armstrong can prove G-SA. Then by G-SA, we would have a contradiction. So not-G-SA is false (or our logic contains a contradiction, in which case the principle of explosion applies).
Theorem 2: Cyan cannot prove this sentence is true. (G-Cyan)
Proof left as an exercise for the reader.