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CronoDAS comments on A Dialogue On Doublethink - Less Wrong
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It's not that hard to accidentally believe a contradiction, since we're not logically omniscient and "consistency checking" is a computationally intractable problem except in simple cases. Proving that an arbitrary sentence of propositional logic isn't a contradiction is an NP-complete problem, and human beliefs are more complicated than statements in propositional logic.
I agree with you in theory, but in practice there are plenty of contradictions which are pretty darned obvious. i.e. the limiting factor in human rationality seems to be the human tendency to self-deception and hypocrisy. As opposed to the computational difficulty of finding contradictions.