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The Collaborative International Dictionary
Admissibleness

Admissible \Ad*mis"si*ble\, a. [F. admissible, LL. admissibilis. See Admit.] Entitled to be admitted, or worthy of being admitted; that may be allowed or conceded; allowable; as, the supposition is hardly admissible. -- Ad*mis"si*ble*ness, n. -- Ad*mis"si*bly, adv.

Wiktionary
admissibleness

n. The state or quality of being admissible.