This is what Math is, abstract syntactic rules. GPTs however seem to struggle in particular at counting, probably because their structure does not have a notion of order. I wonder if future LLMs built for math will basically solve all math (if they will be able to find any proof that is provable or not).
Grounding LLMs to images will be super interesting to see though, because images have order and so much of abstract thinking is spatial/geometric in its base. Perhaps those will be the first true AIs
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