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Etymology edit

irrational +‎ -ity

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Noun edit

irrationality (countable and uncountable, plural irrationalities)

  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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