Hello,

I am asked to translate both $\displaystyle \forall x \exists y Q(x,y)$ and $\displaystyle \exists y \forall x Q(x,y)$, where $\displaystyle Q(x,y)$ is a propositional function that represents the statement, "x has sent an e-mail message to y," where the domain for both x and y consists of students in one's class.

I feel as though the two quantified statements would translate into the same English statement, aren't both statements the same?