Definition: incompossible

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Source: Webster's Revised Unabridged Dictionary (1913)

Incompossible \In`com*pos"si*ble\, a. [Pref. in- not +
   compossible: cf. F. incompossible.]
   Not capable of joint existence; incompatible; inconsistent.
   [Obs.]

         Ambition and faith . . . are . . . incompossible.
                                                  --Jer. Taylor.
   -- In`com*pos`si*bil"i*ty, n. [Obs.]

Source: THE DEVIL'S DICTIONARY ((C)1911 Released April 15 1993)

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.