I highly recommend reading this paper. The researchers have taken Félix's suggestion to the next level and beyond.
The preprint is 155 pages long, consisting of prompts to GPT-4 and analyses of results. The paper highlights the strengths and limitations of GPT-4 in far more detail than popular accounts.
The sections on mathematics are particularly intriguing and mysterious. On the one hand, GPT-4 writes spectacularly well. I get a strong impression that its responses involve planning. But this impression seems to be misleading, as its math mistakes show.
Summary thoughts
I do not understand why GPT-4 (or its predecessors) can create coherent text with the limitations revealed in the paper. The more I learn about GPT systems, the more mysterious they seem.
Nobody, including experts, can predict where all this will lead. Current AI research is true intelligent design :-)
Edward