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The Collaborative International Dictionary
Unmeaningness

Unmeaning \Un*mean"ing\, a.

  1. Having no meaning or signification; as, unmeaning words.

  2. Not indicating intelligence or sense; senseless; expressionless; as, an unmeaning face.

    There pride sits blazoned on the unmeaning brow.
    --Trumbull. [1913 Webster] -- Un*mean"ing*ly, adv. -- Un*mean"ing*ness, n.

Wiktionary
unmeaningness

n. (context dated English) The quality of being unmeaning; insignificance.