I consider atheism thus to be logically deducted from the theory pool. If I take my own rationality seriously (and yours, my reader’s, as well–even if you are an atheist), then whatever ultimate reality is, I will not consider it to have specifically ‘atheistic’ characteristics.
Does this mean atheism is necessarily false? No. I may not in fact be capable of thinking. If I am not capable of thinking, then my deductive removal of atheism falls immediately to the ground, of course! But at the same time, if I am not capable of thinking, then my qualification (in atheism’s favor) concerning this deduction cannot be considered reliable, either.
I have therefore discovered that atheism either is not true, or at best can neither be discovered nor even usefully (appearances notwithstanding) proposed.
I should therefore, for all practical purposes, conclude that some type of ‘not-atheism’ is true.
Notice I have been saying “should therefore conclude”. This is, in some respects, weaker than a ‘must’: logical conclusions do not equate to a necessary behavior on my part. I can act. I can choose to reject this and flatly assert atheism, if I wish. I can pretend that atheism ‘makes sense’, if I wish; and at this point such an action on my part (not necessarily on the part of other people) would be pretending, as I would no longer have certain complex and difficult barriers insulating me and allowing an honest mistake due to miscalculation.
Thus, ‘should’ is the correct word; for it also carries a moral imperative, itself not necessarily binding in the behavioral sense (else it would not be a ‘mere’ ‘should’). Having gotten to this point, I find that I ‘should’ conclude (and by assenting to the conclusion thereby ‘believe’) God exists. (I am not yet saying that I should believe in God; that’s a related matter, regarding personal trust, but I will discuss it later.)