P1. It is logically justified to say "I believe God is possible".
P2. Lacking belief that God is possible isnt logically justified, but is ignorance.
P3. Choosing ignorance when presented with logically justified belief is unjustified
C. Atheist's lack of belief is unjustified
By modal logic, claims are divided on 4 categories:
- Necessary (true always and everywhere)
- Contingent (true somewhere or at some time, but not everywhere or not at all times
- Possible (true in some place or some time)
- Impossible (not true in any place or any time)
God cannot be impossible by modal logic, because saying that "unproved" means "God exists" is impossible would mean "God doesnt exist" is impossible too, a contradiction.
So if saying "God exists somewhere" is not impossible, and "God doesnt exist anywhere" is not impossible (counter ontological), what remains is that God is possible.
However, a belief "God doesnt exist" cannot be logically justified, but is self-contradictive. To say that lack of proof means something doesnt exist would mean nothing can exist, because something must exist first in order to be proof for it. In other words, claim commits circular contingency where existence depends on proof and proof depends on existence. We generally dont say that atoms didnt exist before we had proof for them. To claim that would be absurd.