Elephants are wise in that they’re concerned with (some of) the things that matter most — social bonds and creature comforts. But, as far as we know, they can’t scrutinize these concerns in abstraction, or reflect on the nature of wisdom or the metanormative conditions of their own experience.
We can do that — due to some freak accident of evolution that probably has to do with the recursivity of language and the self-referential nature of subjective experience. And again, when I say “we,” I mean some humans sometimes. Many “wise” humans are just like the elephants.