Surprisingly (to me) many people think that GPT-N will never exceed human level intelligence because it was trained on the internet. I think that argument is obviously wrong.

Another is that I am sure a large chunk of people will never concede that the AI is smarter than them. Literally never, no matter how smart the bot gets. I mean, probably a lot of people think they are as smart as anyone else. They won't agree that someone else is smarter than them, and they certainly won't agree that some bot is smarter than them. It's also a loaded assessment, like they will think that if they agree to that, then they are also implicitly agreeing to cede their personal agency to the bot.

Another possibility is that GPT-N successors that surpass human level cognition will be banned by regulation, like some drugs or nuclear explosives or bio weapons. They could even be pre-emptively banned at some level below human level, and maybe it would never be publicly acknowledged that it's technically possible to go above human level.