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chaosmosis comments on The noncentral fallacy - the worst argument in the world? - Less Wrong
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I love the article, but this is a bad name for a fallacy, as it hinders neutral discussion of its relative badness compared to other fallacies.
If I could pick a name, I'd probably choose something like "tainting categorization".
I'd choose something like "the fallacy of naive deduction" because it reminds me of those awful proofs that the Greeks used to write which were essentially just the premises that contained their hidden assumptions, and then extremely simple deductions which followed straightforwardly from the premises.