impossibility

noun3

1. •
   Something that is impossible.

   • Meeting the deadline is an impossibility; there is no way we can be ready in time.
2. •
   The quality of being impossible.

   • After long reasonyng, there wer certain appoynted, to declare the impossibilite of this demaunde to the Cardinal, — 1548
3. •
   (no longer used) The state of being unable to do something.

   • […] out of their own torment, they [the damned] see the felicitie of the saints; togither with their impossibility of attayning it. — 1607