Still, it's worth repeating the fundamental elements of argument here. If your paper has these essential features, then you've probably presented a sound argument. It's important to understand that an argument can be logical without necessarily being true.
All women are brilliant.
I am a woman. Therefore, I am brilliant. Indeed, it is. The test for logic in this instance is not whether the statement is reasonable, but whether the argument follows the almost mathematical construction of the syllogism. John Q. has been exposed to the E-Boli virus.