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What does irrationality mean?

Looking for the meaning or definition of the word irrationality? Here's what it means.

Noun
  1. The quality or state of being irrational; want of the faculty or the quality of reason; fatuity.
  2. Something which is irrational or brought forth by irrational action, judgement, idea or thought.
  3. (mathematics) The property of being irrational.
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Examples
The same stress that can be life-threatening in broken heart syndrome can also drive people to irrationality.
And some courts have taken judicial notice of the irrationality of certain pseudosciences, including phrenology and astrology.
Is it any wonder the country is in the grip of so much appeasement, irrationality and ignorance?
It is tempting to criticize the trial by ordeal, wager of law and judicial combat for their apparent irrationality and cruelty.
He railed against the creation of artificial dichotomies, such as head versus heart, reason versus irrationality.
What interests us here is not so much the completely irrationality of Carr's ravings, but the underlying reason for it.

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