It is self-defeating to say that something does not exist. ”God does not exist” is about God. A statement can be about something only if that something exists. No relation without relata. Therefore, God exists.
I’m glad we’ve got that settled, but I’m pretty sure this is not what most people are talking about when they discuss whether or not God exists. They’re talking about the actual being, not the concept.
Evidence to the contrary doesn’t exist – which means it does. But there’s no such thing a perfectly valid and sound proof that God doesn’t exist; at least, there wasn’t until I just now offered up that statement about one, thereby bringing just such a well-reasoned proof into existence.
Furthermore, it also means that any number of conflicting and contradictory, even logically impossible statements must be true; so the moon is made entirely of green cheese, as well as being made entirely of rocks and minerals, as well as being a hollow metal sphere, as well as being just a painted design on the dome of the sky.