> This is one of those things where a surprising fact isn't astounding, but just makes me think the definitions are badly chosen. After all -- of course if you

> This is one of those things where a surprising fact isn't astounding, but just makes me think the definitions are badly chosen. After all -- of course if you pick definitions in weird ways, you get weird results. I agree that it's not astounding. I think it's surprising because the definitions are well chosen, and intuitive in most cases, but this mathematical object just falls through the cracks.