Main Entry: non se·qui·tur
Pronunciation: 'nän-'se-kw&-t&r also -"tur
Function: noun
Etymology: Latin, it does not follow
Date: 1540
1 : an inference that does not follow from the premises; specifically : a fallacy resulting from a simple conversion of a universal affirmative proposition or from the transposition of a condition and its consequent
2 : a statement (as a response) that does not follow logically from anything previously said

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(Definition courtesy of WWWebster Dictionary.)