Defn: The state or quality of being irreducible.
IRREDUCIBLE
Ir`re*du"ci*ble, a.
1. Incapable of being reduced, or brought into a different state; incapable of restoration to its proper or normal condition; as, an irreducible hernia.
2. (Math.)
Defn: Incapable of being reduced to a simpler form of expression; as, an irreducible formula. Irreducible case (Alg.), a particular case in the solution of a cubic equation, in which the formula commonly employed contains an imaginary quantity, and therefore fails in its application. — Ir`re*du"ci*ble*ness, n. — — Ir`re*du"ci*bly, adv.
IRREFLECTION
Ir`re*flec"tion, n.
Defn: Want of reflection.
IRREFLECTIVE
Ir`re*flect"ive, a.
Defn: Not reflective. De Quincey.
IRREFORMABLE
Ir`re*form"a*ble, a.