I don't know if I agree with the parameters of this debate. Logic certainly isn't infallible, or else we wouldn't have paradoxes (for example, "this is a lie"). It does however provide the most effective tools for navigating the world around us and making sense of our experiences.
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The very foundation of a debate is logic, anyway. The negators will employ logic in constructing an opposing argument, and the affirmers will use logic to counter it. The very act of reading a Bible requires feats of logic (one doesn't simply gain literacy by divine inspiration, unless you're Mohammed).
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I'm all for interpretations of the Bible and contextual readings, but assuming the infallibility of anything - the Bible, the Constitution, the local phone directory - is fundamentally irrational behaviour. It precludes critical thinking and evaluation, and as such, cannot be debated in any meaningful way.