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Pavitra comments on Blues, Greens and abortion - Less Wrong Discussion
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If we agree due to correctness, then the causal chain from reality to belief should follow similar lines in each person's reasoning, and we should give similar (or at least compatible) justifications for our mutual conclusion.
If we agree due to bias, then we would likely discover wildly divergent rationalizations for our common premise, and we should find multiple mutually contradictory justifications.