Now suppose you discover that Alice has been paid handsomely to make this statement, and that she would gladly have made the opposite claim had her boss wanted her to.
Are we to assume that Alice would have presented a equally convincing-sounding argument for the opposite side had that been her boss' demand, or would she just have asserted the statement "There is a largest prime number" without an accompanying argument?
Hmm... I am not sure. Because the value of her testimony (as distinguished from her argument) is null whichever side she supports, I am not sure the answer matters. But I could be wrong. Does it matter?
Abram Demski and Grognor
Much of rationality is pattern-matching. An article on lesswrong might point out a thing to look for. Noticing this thing changes your reasoning in some way. This essay is a list of things to look for. These things are all associated, but the reader should take care not to lump them together. Each dichotomy is distinct, and although the brain will tend to abstract them into some sort of yin/yang correlated mush, in reality they have a more complicated structure; some things may be similar, but if possible, try to focus on the complex interrelationships.