irrationality

noun5

1. •
   The quality or state of being irrational.
2. •
   The state of being illogical or absurd.
3. •
   Something that is irrational; the result of an illogical or absurd thought or action.
4. •
   The state of being incapable of reason or abstract thought.
5. •
   The property of being an irrational number.