In a sense, I'm a mind reader. In writing this, I believe that you think that I want you to think that I intend to persuade you of something I believe. Got that?
It's what cognitive scientists call mind reading -- the ability to speculate on intention. In the example above, there are five levels of mind-reading intentionality. Chimps can "mind read" to two levels. For example, a chimp can think (one level) that I want it to believe (two levels) I've eaten a cookie, when really I've hidden the cookie on a shelf. Dogs can manage one level (they think I've eaten the cookie).
There's a continuum at work here, and it depends on the size and complexity of the brain's frontal lobe. Humans can mind read better than chimps, chimps are better than monkeys, and monkeys are better than dogs.