In the sense here, an agent that can see the future is 'infinitely intelligent'.

Seeing the future has a tendency of becoming paradoxical when you start acting on that information though.

I don't think that's true. A beast with ability to see two days in advance could easily kill a human, but still not be able to do anything else, like beat him at chess or make tools.

Your example seems reasonable, but not as a rebuttal to the paradoxical nature of seeing the future.

The paradoxes are the same as in time travel. Imagine your best sees itself hunted down two days in advance; it simply goes somewhere else so the hunters don't find it. Then it didn't really see the future, did it?

> it didn't really see the future, did it

depends on your model of time and the universe, i suppose. perhaps "a future" vs "the future".

Magical powers (and powerful, potentially paradoxical ones at that) are an extremely blatant violation of "all else being equal".