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First point: You state that infinite and singular are incompatible concepts. I disagree utilizing the following syllogisms:
1. Mathematical: the summation of a particular infinite series geometric series (mathematical expression I won't inflict on you an actual example plus from your previous notation you know them as well as me)can through careful analysis of limits be knowable, and might even be approximated as a calculable function. (the geometric series behind Tan and Sin come to mind if you want to get down and funky)the syllogism would be that 1. a series is infinite 2. It is knowable through study to a practical application of what it means
2. Linguistic: In your own posting your refer to an infinite mystery, where you correctly used mystery and not mysteries. The content of the mystery might be unknowable and unreachable, but the numer of mysteries, uno. A syllogism would be 1. There is a thing of infinite size
2. It is one thing 3. It is possible to know that thing in the sense of what it feels like, smells like,but its size/dimensions are unreachable

Second: Well I would agree with your syllogism that all constructs of the text of the Bible are finite, I might even agree that every denomination has things its wrong about, us being human.

....yet for reasons touched on above I think it is possible to know the infinite God of the Universe---being careful to say to know, not know or comprehend all that he is. Only through Jesus is it possible to know him in a personal way, for reasons of his infinity beyond comprhension that you reference