Lacking just or logical inference or argument(noun)
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Use "inconsequence" in a sentence
"After noting the odd inconsequence of J. Sutter, the young, black, journalist-for-hire protagonist of John Henry Days — inconsequence, that is, compared to the folk hero of the title, and “the prophetic thunders and righteous wrath of Frederick Douglass and W.E. B."
"But his friend, who was used to this kind of inconsequence in him, kept the thread."
""The Misfits" 1961, wild horses being rounded up and wild emotions unleashed in Nevada is, despite the star power of Monroe, Gable and Montgomery Clift, a frenzy of inconsequence."