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The Collaborative International Dictionary
Incommunicability

Incommunicability \In`com*mu`ni*ca*bil"i*ty\, n. [Cf. F. incommunicabilit['e].] The quality or state of being incommunicable, or incapable of being imparted.

Douglas Harper's Etymology Dictionary
incommunicability

1630s; see incommunicable + -ity.

Wiktionary
incommunicability

n. The quality or state of being incommunicable.