Etymology
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non sequitur (n.)

1530s, in logic, "an inference or conclusion that does not follow from the premise," a Latin phrase, "it does not follow," from non "not" + third person singular present indicative of sequi "to follow" (from PIE root *sekw- (1) "to follow").

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Definitions of non sequitur

non sequitur (n.)
a reply that has no relevance to what preceded it;
non sequitur (n.)
(logic) a conclusion that does not follow from the premises;
From wordnet.princeton.edu