incompossible

CIDE DICTIONARY

incompossible, a. [Pref. in- not + compossible: cf. F. incompossible.].

 Not capable of joint existence; incompatible; inconsistent.  [1913 Webster]
"Ambition and faith . . . are . . . incompossible."

DEVIL DICTIONARY

incompossible

adj. Unable to exist if something else exists. Two things are incompossible when the world of being has scope enough for one of them, but not enough for both -- as Walt Whitman's poetry and God's mercy to man. Incompossibility, it will be seen, is only incompatibility let loose. Instead of such low language as "Go heel yourself -- I mean to kill you on sight," the words, "Sir, we are incompossible," would convey and equally significant intimation and in stately courtesy are altogether superior.