1) Inconceivableness 
• (n.) The quality of being inconceivable; inconceivableness.
In`con·ceiv`a·bil'i·ty noun The quality of being inconceivable; inconceivableness. « The inconceivability of the Infinite.» Mansel. 
[n] - the state of being impossible to conceive
The property of being something that is unthinkable. Having self-contradictory properties such that mental representation is impossible. In metaphysics, Herbert Spencer's criterion of truth, that when the denial of a proposition is incapable of being conceived the proposition is to be accepted as necessary or true. Syn. with Inconceptible. -- J.K.....