Definition of non sequitur
1
: an inference (see inference sense 1) that does not follow from the premises (see premise entry 1 sense 1)
specifically
: a fallacy resulting from a simple conversion of a universal affirmative (see affirmative entry 1 sense 3) proposition or from the transposition of a condition and its consequent (see consequent entry 1 sense 1)
2
: a statement (such as a response) that does not follow logically from or is not clearly related to anything previously said
We were talking about the new restaurant when she threw in some non sequitur about her dog.
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Merriam-Webster unabridged
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The first known use of non sequitur was in 1540
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