If it were a brand new joke that the interlocutor invented, for which there are no existing discussions, it wouldn't be able to do anything beyond giving some evasive answer instead of "I don't know".
Either way, I think the poster above is wrong. ChatGPT does have a model of the world, or better said, of a world sufficiently similar to our own to often make very good predictions about what we want to hear.
And pick N so it is not 3 (which is the common version on the internets). If it can explain that version, then it is going somewhere.
I tried it with 5 and the answer no longer indicates understanding of details of the puzzle:
""" Explain this joke:
5 logicians walk into a bar. The bartender asks: "Do you all want a drink?" The first logician says: I don't know The 2nd logician says: I don't know The third logician says: I don't know The 4th logician says: I don't know The fifth logician says: Yes!!
OpenAI:: This joke is a variation of a classic logic puzzle called the "liar paradox." In the joke, five logicians walk into a bar, and the bartender asks if they all want a drink. The first four logicians respond with "I don't know," indicating that they cannot answer the question definitively.
The fifth logician's response of "Yes!" seems to contradict the previous answers, but it is actually a valid answer based on a logical interpretation. The joke plays on the idea that logicians are known for their precise and analytical thinking, and the unexpected response from the fifth logician adds a humorous twist to the traditional paradox. """