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The Collaborative International Dictionary
Inapplicableness

Inapplicable \In*ap"pli*ca*ble\, a. [Pref. in- not + applicable.] Not applicable; incapable of being applied; not adapted; not suitable; as, the argument is inapplicable to the case.
--J. S. Mill.

Syn: Unsuitable; unsuited; unadapted; inappropriate; inapposite; irrelevant. -- In*ap"pli*ca*ble*ness, n. -- In*ap"pli*ca*bly, adv.

Wiktionary
inapplicableness

n. The state or quality of being inapplicable; inapplicability.