Kristen wrote:... Although it is philosophy; the book isn't written with the consideration of logic.
That depends on your definition of logic. I'm certain that for Nietzsche himself, his arguments where entirely logical. It's certainly a matter of perspective.
As the philosopher Thomas Hobbs said, "For such is the nature of men that how so ever they may acknowledge many others to be more witty, or more eloquent or more learned, yet they will hardly believe there be many so wise as themselves; for they see their own wit at hand, and other men's at a distance."