I have already disproved math as a science.
Math says 1 + 1 = 2.
To prove this, math says that 2 is defined as "1 + 1".
Math says 1 + 1 isnt equal to 3.
But if I define 3 as "1 + 1", then 1 + 1 = 3
And I define 2 as "1+1+1".
So 1 + 1 isnt 2.
If you disagree with my definition, that is okay, I disagree with yours too.
Also, you cant prove that 2 is defined as "1 + 1".
Now, about God.
I define God as most powerful being which exists.
So we see that God exists by definition. If you present a different definition, I will reject it as unproved.
The only other definition which I would accept is "God is divine being above logic and above everything else.".
So in this way, we see that God logically must exist, because there is nothing which can prevent him from existing, as he is immune to all limiting conditions.
So God can create himself out of nothing, and any logical counter argument doesnt apply because God is above logic.