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The Collaborative International Dictionary
Unanswerableness

Unanswerable \Un*an"swer*a*ble\, a. Not answerable; irrefutable; conclusive; decisive; as, he have an unanswerable argument. -- Un*an"swer*a*ble*ness, n. -- Un*an"swer*a*bly, adv.

Wiktionary
unanswerableness

n. The state of being unanswerable.