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Surely it follows that you are placing faith in logic. What if logic has some flaw that we are simply too limited (as humans) to realise? For the purposes of this argument, you have faith that logic is the only way to truth.
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Humans thoughts are at their core based upon logic and reasoning. logic is in turn based on evidence, mountains upon mountains of evidence. faith does not enter into it.
As for the chair, i am not putting faith in it as i have evidence to provoke logical conclusions. i think you are maybe confusing faith, decision making without evidence or against evidence, and your chair faith, looking at the evidence, not being sure about the outcome but deciding on the best possible alternative based on the evidence. your chair faith is essentially logic.
I do however agree on your last sentence regarding the sum up of the debate, quite well done. it then comes to evidence supported logic vs non-evidential faith.