irrationality

plural irrationalities

1. The quality or state of being irrational.
   1. countableuncountableThe state of being illogical or absurd.

      Synonyms: absurdity, illogicality, fallaciousness

   2. countableuncountablemathematicsThe property of being an irrational number.
   3. countableuncountableThe state of being incapable of reason or abstract thought.

      Man introduces reason into the world of Nature, destroying irrational struggle and waste. But this activity is outside of self, distant, only reflected. Man sees this irrationality only with his intellect.

      1905, Leo Tolstoy, The Complete Works of Count Tolstoy, page 523

      Synonyms: unreason, mindlessness

2. countableSomething that is irrational; the result of an illogical or absurd thought or action.

   Synonyms: absurdity