Conspiracy theories and false news stories often rely on a version of the conjunction fallacy to seem credible — the more resonant details are added to an outlandish story, the more plausible it begins to seem.
Indeed, President Kennedy chose to speak of such matters at Yale " because of the self-evident truth that a great university is always enlisted against the spread of illusion and on the side of reality."
While remembering these named fallacies can give us a shortcut to evaluating arguments, we can still use the Toulmin model on them when we forget or on other fallacies we don't recognize yet.