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non sequitur

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non se⋅qui⋅tur

  [non sek-wi-ter, -toor; Lat. nohn se-kwi-toor]
Use non sequitur in a Sentence
–noun
1. Logic. an inference or a conclusion that does not follow from the premises.
2. a statement containing an illogical conclusion.
Origin:
< L: it does not follow
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2009.
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non se·qui·tur   (nŏn sěk'wĭ-tər, -tŏŏr')   
n.  

  1. An inference or conclusion that does not follow from the premises or evidence.

  2. A statement that does not follow logically from what preceded it.


[Latin nōn sequitur, it does not follow : nōn, not + sequitur, third person sing. present tense of sequī, to follow.]
The American Heritage® Dictionary of the English Language, Fourth Edition
Copyright © 2009 by Houghton Mifflin Company.
Published by Houghton Mifflin Company. All rights reserved.
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Cultural Dictionary

non sequitur [(non sek-wuh-tuhr)]

A thought that does not logically follow what has just been said: “We had been discussing plumbing, so her remark about astrology was a real non sequitur.” Non sequitur is Latin for “It does not follow.”

The American Heritage® New Dictionary of Cultural Literacy, Third Edition
Copyright © 2005 by Houghton Mifflin Company.
Published by Houghton Mifflin Company. All rights reserved.
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Word Origin & History

non sequitur 
1533, from L., lit. "it does not follow."
Online Etymology Dictionary, © 2001 Douglas Harper
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