irremediable adj.

word-forming element meaning "not, opposite of, without" (also im-, il-, ir- by assimilation of -n- with following consonant, a tendency which began in later Latin), from Latin in- "not," cognate with Greek an-, Old English un-, all from PIE root *ne- "not."

In Old French and Middle English often en-, but most of these forms have not survived in Modern English, and the few that do (enemy, for instance) no longer are felt as negative. The rule of thumb in English has been to use in- with obviously Latin elements, un- with native or nativized ones.

c. 1400, "affording remedy or relief;" early 15c., of a disease, "able to be remedied, capable of being cured" (Chauliac), from Old French remédiable, from Latin remediabilis "that may be healed, curable," from stem of remediare "to heal, cure," from remedium "a cure, remedy" (see remedy (n.)).

mid-15c., irremediabili, from irremediable + -ly (2).