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I prefer LLMs as opposed to AI. AI has the word 'intelligence' preceded by the word 'artificial'; meaning not natural, not real. I am not as sanguine about the intelligence aspect as you are. LLMs are excellent tools due to their ability to sort and analyze extremely large data sets, but they cannot perform abstract or critical thinking. You dwell on math solutions, which are a special subset of STEM. Math is a tool used in the sciences to bring clarity to complex or abstract theories. One of the problems behind the current stagnation in theoretical physics is that many physicists let math drive their theories instead of using it as a tool. This causes theories such as 'string', 'multiverse', and 'dark matter/energy' to dead-end.

LLMs can only do what they have been programmed to do. Humans are still the only ones able to perform imaginative, abstract, critical thinking.

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