First off - the "logic and reason" used in the writings of the bible are VERY DIFFERENT than the Aristotelian model of deduction and induction we are accustomed to in the west. That logic is sometimes called Hebraic Block logic or Adductive logic. (do a google search on those terms)
That style of logic is NEVER abstract, (rather, it is relational) and rarely is what we would call circular (rather than linear). It can hold 2 things as being equally and simultaneously true that in western logic are contradictory and mutually exclusive.
So yes - western logic IS a hindrance to true biblical faith. To the western logic mind, this verse in Hebrews makes no sense:
Hebrews 11:3 By faith we understand that the worlds were prepared by the word of God, so that what is seen was not made out of things which are visible.
Faith comes by hearing the voice of God. (Rom 3) And that voice often runs counter to logic and sense. But it is true and always will be.
Yeah, I really don't know what you expect me to say. Aristotelian deduction and induction are used as the standard model of logic because, surprise surprise,
they work. They describe reality in an accurate and useful way, and can be used to investigate claims and determine whether or not they work. Regardless of what you believe or why, logic (I refuse to qualify that statement, because anything outside that framework should have a different term and should not be called "logic") will
always be of great benefit to you.
Meanwhile, your so-called "Adductive logic" is not a system of logic at all. Given what DaveW (not sure if this is you or not) wrote
on another forum, I don't think it would be uncharitable to describe it as straight-up doublethink:
Consideration of certain forms of block logic may give one the impression that divine sovereignty and human responsibility were incompatible. The Hebrews, however, sense no violation of their freedom as they accomplish God's purposes. The back and forth between human freedom and divine sovereignty is a function of block logic and the Hebrew mindset. What this boils down to is that Paul presents us with a paradox in Romans 9, one which he, as a Hebrew, saw no need to explain. "..[T]he Hebrew mind could handle this dynamic tension of the language of paradox" and saw no need to unravel it as we do."
I'm sorry, but that's nonsense. The problem with a paradox is that it introduces something that must simultaneously be true and not true, and therefore it violates the law of non-contradiction. The point where you can accept something as both true and not true is the point where you throw literally all ability to understand any part of reality out the window.
At best, one could claim that Adductive Logic is different and inferior to traditional logic.
Or maybe I just found a bogus source. Maybe you can make a thread about it and explain it more in-depth? Because none of the sources I found explained it in any way that made any sense.