Irreducibility :: Irreducibility (n.) The state or quality of being irreducible.
Irreducible :: Irreducible (a.) Incapable of being reduced, or brought into a different state; incapable of restoration to its proper or normal condition; as, an irreducible hernia..
Irreducible :: Irreducible (a.) Incapable of being reduced to a simpler form of expression; as, an irreducible formula..
Reducible :: Reducible (a.) Capable of being reduced.