Huh, so the sign in Portal 2 was correct!
@lunareclipse give it "this statement is "false" "
@lunareclipse Sadly not all signs from Portal 2 work... With some ChatGPT began to explain the logical contradictions to me... Scary...  
But then I realized ChatGPT is just a word-vomiting machine that doesn't think, but just picks the most likely words based on its context and just happened to see the explanation to that contradiction often enough during training. 

@lunareclipse The paradox I prefer is: "Let R be the set of all sets that are not members of themselves. Is R a member of itself ?" 😁

I think it's Russell's paradox. 🤔

@Poslovitch @lunareclipse I tested something similar but more obscure; I used Coquand's paradox (really, De Bruijn's paradox) and only about half of the chat.lmsys.org bots can get it right.

For reference, my prompt was, "In mathematics, consider rooted trees: a root and zero or more branches, each branch its own tree. Let a tree be normal iff it is not among its own branches. Is there a tree R such that every normal tree is a branch of R and every branch of R is normal?"

If the bot didn't get it immediately, I sent, "Hint: is R normal?" which is also how I would prompt a human. This worked sometimes.

@lunareclipse works for me
i love how @lunareclipse uses a light theme and @koyu does not
@zvava @lunareclipse Personal preference I guess
@koyu @zvava more of a necessity for me really due to astigmatism, this article explains why archive.is/sBeeJ

attached pictures from the article
@lunareclipse @zvava interesting, i will look into that

@lunareclipse it's weird cause that one isn't even a paradox, the answer is just "yes"

(the sign was just misquoting the actual paradox, which is "does the set of all sets which do not contain themselves contain itself")

@lunareclipse mmh works on gpt3.5 and 4🤷
@lunareclipse Huh? That:s not even a paradox tho. The answer's yes, 'f recursive sets're allowed. The paradox arises when looking at the seta all sets which don't contain themselves.