Clippy comments on Bayes' rule =/= Bayesian inference - Less Wrong
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There are a (pretty common) class of reasoning problems for which equals(correct reasoning, Bayesian inference) is widely believed here in LW. There are other problems and other forms of correct reasoning for which Bayesian inference is simply inapplicable.
For example, the following syllogism cannot be completed by Bayesian inference.
A. Nothing is better than total happiness.
B. A paper clip is better than nothing.
C. ???
That's not a very good example, because a paperclip is, in fact, better than happiness. At least, human::happiness.
This is a great LW name.