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Isn't there a false dilemma fallacy? Who invented all these fallacies? They seem to be unavoidable.

There's the fallacy fallacy, which says "just because you can match an argument to a fallacy doesn't mean you've proven anything":

http://rationalwiki.org/wiki/Fallacy_fallacy

It seems to be saying "you can't prove the conclusion of the argument is false", not "you can't prove anything". You can still prove the argument is invalid.

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