The Cabbage, Goat, and Wolf problem intrigued me the other day too... so I did a fantasy world. There aren't incompatible pairs but there are limitations on what can be done. Imagine a universe where there are three types of people: wizards, warriors, and priests. Wizards can open a portal that allows two people to go through at a time, but they cannot go through the portal themselves. Priests can summon people from…
That doesn't seem that impressive. The likelihood of reading text having "sphere" in the same context (i.e. within some small number of tokens) as "roll away" is higher than by random chance, because humans have observed and described this behavior in text. There's no indication that GPT4 understands what "roll away" means in any meaningful way: just that it associates the phrase with the word "sphere". It might have…
But what I am most interested by is the degree of its symbolic manipulation and abstract reasoning given messy data. How is that not intelligence ?