I think if the mathematician (or anyone) gets to that point, he's solved the problem even if the answer is in the form of a probing question. There might be co

I think if the mathematician (or anyone) gets to that point, he's solved the problem even if the answer is in the form of a probing question. There might be confusion about whether or not the host "cheats" and always shows a goat, but if you're asking this question you get to the answer. The issue is that people don't get to this question. I think that's not a wording-misdirection thing, it's something about how people think.