At least in the Christian sense, "belief" and "faith" are the same word and are synonyms of "trust". So you just said "Religious trust is predicated on trust in the absense of evidence". That really doesn't make sense. So maybe you'll see why Christian's are making a point of disagreeing with your definitions around religion and "belief".
Belief isn't the opposite of reason or evidence. They're not in conflict at all. Belief is the opposite of self-reliance and distrust.
As I understand it, the "faith" Christians refer to is a deeply held belief in religious principles regardless of the presence or absence of empirical evidence to support that belief.
Contrast that with a "rationalist" it skeptic's practice of rejecting beliefs not supported by evidence, and only tentatively adopting beliefs as true until they are disproven.
I'm am really trying not to moralize religious belief. That is difficult for me to do and perhaps explains gaps in my perception here. My point was a religious person will continue to hold religious beliefs despite observable phenomena that directly contradict scripture and dogma.
The Greek root word for both "faith" and "belief" in the Bible is "pistis".
"In Greek mythology, Pistis was the personification of good faith, trust and reliability"
https://en.wikipedia.org/wiki/Pistis
There's no reason one couldn't be skeptical, find satisfying answers to questions, then have a lot of faith (trust) in something.
> My point was a religious person will continue to hold religious beliefs despite observable phenomena that directly contradict scripture and dogma.
I'm not sure what scientific evidence would disprove that an omniscient, omnipotent, omnipresent God exists. Any real objection to a god's existence would have to be predicated on some metaphysical assumptions (like, God wouldn't design evolution or create fossil records). What looks like misplaced trust might actually be a disagreement or misunderstanding about metaphysical axioms.
I suppose I am painting with a broad brush when I assume the motivations behind religious beliefs. Either way I am way off topic here.
I understand that reasoned knowledge is inductive, which is why I claimed it is based upon "the best available body of evidence". When a belief is shown to be false we must reject it and reevaluate what we believe to be true. That is why one of the most exciting events in the scientific realm is proving a belief to be false, as that means we have fundamentally altered the corpus of human knowledge.
A thought exercise to hopefully make it easier to empathize with these people. Imagine you are transported back several hundred years into a Catholic ruled country. You don't believe in God but you don't discuss that with strangers because you often hear people say things like "Reasonable people cannot disagree about Scripture, which is overwhelmingly on the side of eternal damnation on those who don't believe."
Imagine you hear this stuff in the market, at your job, and from the street corners. No amount of hearing this is going to convince you to believe in God. If anything this reinforces the feelings you have that religious people are hateful and ignorant.