(Not) too P to Q
Peter Howard sent in a listicle at NotAlwaysRight, "10 scams we're not too stupid to fall for", which describes ways that customers will try to fool cashiers, for example by switching price labels: "it doesn’t take a genius to realise that a $50 bottle of liquor would not be mislabeled as $0.99 cheese-balls in any universe."
Peter observes that the headline "10 scams we're not too stupid to fall for" is not exactly over-negation, in the sense that removing the negation makes things worse rather than better — but still, there's something wrong.
This case is quite similar to the original "No head injury is too trivial to ignore" example — see "No detail too small", 11/27/2009, and "No wug is too dax to be zonged", 11/28/2009. Like may other examples of what we've taken to calling misnegation, such cases illustrate the fact that the interaction of negation and scalar predicates is hard enough for people to analyze that they easily jump to an interpretation that makes sense, even if it isn't the correct compositional analysis of the phrase in question.
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