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The Collaborative International Dictionary
Irrefragableness

Irrefragable \Ir*ref"ra*ga*ble\, a. [F. irr['e]fragable, L. irrefragabilis. See Refragable.] Not refragable; not to be gainsaid or denied; not to be refuted or overthrown; irrefutable; unanswerable; incontestable; undeniable; as, an irrefragable argument; irrefragable evidence. -- Ir*ref"ra*ga*ble*ness, n. -- Ir*ref"ra*ga*bly, adv.

Syn: Incontrovertible; unanswerable; indisputable; unquestionable; incontestable; indubitable; undeniable; irrefutable.

Wiktionary
irrefragableness

n. The quality or degree of being irrefragable.