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One low hanging fruit thing that comes to mind is that LLMs are terrible at board games like chess, checkers or go.
ChatGPT is a giant cheater.
GPT3 was cheating and playing poorly, but original GPT4 played already in level of relatively good player, even in mid game (not found in the internet, do require understanding the game, not just copying). GPT4 turbo probably isn't so good, openai had to make it dummer (read: cheaper)
So are three year olds. Do three year old humans possess general intelligence?
Three year olds aren't all that smart, but they learn in a way that ChatGTP 3 and ChatGPT 4 don't.
A 3 year old will become a 30 year old eventually, but ChatGPT 3 just kinda stays ChatGPT3 forever. LLMs can be trained offline, but we don't really know if that converges to some theoretical optimum at some point and how far away from the best possible LLM we are.