Azdgari... No I think you understood me correctly, but I guess a different way to put it might be that A math system as what you say mimics the natural world is the only one that can make logical sense... If it is the only one that is logical then it is the only one that is true.
What is the logical sense of the square root of -7? Do the axioms of our familiar arithmetic yield a meaningful answer to that, according to their own rules? No, we have to invent an ad-hoc solution of a variable, or use algebra that avoids having to actually carry out that calculation. It's an illogical result of our math. The system is not perfect. But then, why would it be?
A non-commutative system of algebra, on the other hand, avoids the issue by having no simple function called "square root" in the first place - a * b and b * a do not have the same meaning, even in cases when a = b. This leads to problems down the line as well, of course. But every system of math will. See Godel's theorem.
But I really want to answer your faith is foolish point...
No i don't think faith is foolish...
Faith is what they have. Faith is what one has in the absence of reason or evidence. So why attack faith with what you consider to be reason and/or evidence? Unless, of course, faith
What I do think is that religious people become afraid that logic is against them so they reject it when talking about there faith.
See my footnote on "faith" above. We are now using it in two senses. I wasn't explicit in my meaning when I first used it, and I should have been. But now I have been, and if you continue to use "faith" to mean multiple things, useful communication will not take place.
With that kind of mindset they start to cling to very specific sentences in the bible that reflects how they feel. If people can except logic into their faith they can maybe see things like "Oh god making gays and then hating them" doesn't really make sense and could have be tainted by the feelings of the Bible's writers. Faith is one thing but Faith and logic is so much more.... Hope that answers your question.
What useful role does faith play in the first place, then? Surely one's beliefs could only be improved by replacing more of one's faith-based beliefs with logic/evidence-based beliefs.