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drnickbone comments on On Terminal Goals and Virtue Ethics - Less Wrong
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If I am insane and think I'm the Roman emperor Nero, and then reason "I know that according to the history books the emperor Nero is insane, and I am Nero, so I must be insane", do I have knowledge that I am insane?
Note that this also messes up counterfactual accounts of knowledge as in "A is true and I believe A; but if A were not true then I would not believe A". (If I were not insane, then I would not believe I am Nero, so I would not believe I am insane.)
We likely need some notion of "reliability" or "reliable processes" in an account of knowledge, like "A is true and I believe A and my belief in A arises through a reliable process". Believing things through insanity is not a reliable process.
Gettier problems arise because processes that are usually reliable can become unreliable in some (rare) circumstances, but still (by even rarer chance) get the right answers.
The insanity example is not original to me (although I can't seem to Google it up right now). Using reliable processes isn't original, either, and if that actually worked, the Gettier Problem wouldn't be a problem.