"Intelligence" is used most commonly to refer to a class or collection of cognitive abilities. I don't think there is a consensus on an exact collection or specific class that the word covers, even if you consider specific scientific domains.

LLMs have honestly been a fun way to explore that. They obviously have a "kind" of intelligence, namely pattern recall. Wrap them in an agent and you get another kind: pattern composition. Those kinds of intelligences have been applied to mathematics for decades, but LLMs have allowed use to apply them to a semantic text domain.

I wonder if you could wrap image diffusion models in an agent set up the same way and get some new ability as well.