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In logic a fallacy is not a false belief but a pattern of reasoning that is both typical and in some way specious. Specious reasoning, by the very etymology of the term, appears correct but is not. Thus a logical fallacy is not just any old mistake in reasoning, but a typical or recurrent mistake that has some tendency to seduce or mislead our thinking. A taxonomy of fallacies is useful insofar as it helps prevent one from seducing oneself or being seduced by others.
By the way, the study of logic won't get you very far, but it is fun and of some use, especially at a time when shockingly mendacious and dimwitted people have taken over the government of the greatest nation on Earth. Examples are legion from the top down. You know their names.
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