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The Collaborative International Dictionary
Irrecoverableness

Irrecoverable \Ir`re*cov"er*a*ble\, a. Not capable of being recovered, regained, or remedied; irreparable; as, an irrecoverable loss, debt, or injury.

That which is past is gone and irrecoverable.
--Bacon.

Syn: Irreparable; irretrievable; irremediable; unalterable; incurable; hopeless. -- Ir`re*cov"er*a*ble*ness, n. -- Ir`re*cov"er*a*bly, adv.

Wiktionary
irrecoverableness

n. The quality of being irrecoverable.