Are Theists Illogical for Believing in God?

[Caecilian]

One way of looking at it might be this:

Any system of logic has axioms. These are statements that are assumed to be true, and cannot be deduced from within the system.

A particular set of axioms applies within our universe- for example, the axiom of equality (x = x). The axioms that apply in our universe produce a logic that applies in our universe.

However, the set of axioms that apply in our universe is a very small sub-set of the total set of possible axioms.

There is no real reason at all to think that the axioms that apply in our universe will necessarily apply in other universes. Other universes may have the same, or different axioms to ours, or indeed no axioms at all (why not?).

As I said before, we find it difficult, if not impossible, to conceive of what those other, very different, universes would be like. But so what? Since when was possibility limited by the human imagination?