Irrational vs Arational - What's the difference?

irrational | arational |


As adjectives the difference between irrational and arational

is that irrational is not rational; unfounded or nonsensical while arational is (chiefly|philosophy) not within the domain of what can be understood or analyzed by reason; not rational, outside the competence of the rules of reason.

As a noun irrational

is a real number that can not be expressed as the quotient of two integers, an irrational number.

irrational

English

Adjective

(en adjective)
  • Not rational; unfounded or nonsensical.
  • an irrational decision
  • * July 18 2012 , Scott Tobias, AV Club The Dark Knight Rises [http://www.avclub.com/articles/the-dark-knight-rises-review-batman,82624/]
  • Where the Joker preys on our fears of random, irrational acts of terror, Bane has an all-consuming, dictatorial agenda that’s more stable and permanent, a New World Order that’s been planned out with the precision of a military coup.
  • (mathematics, arithmetic, number theory, not comparable) Of a real number, that cannot be written as the ratio of two integers.
  • The number π is irrational .

    Antonyms

    * (mathematics) rational

    Hyponyms

    * (mathematics) transcendental

    Derived terms

    * irrational number * irrationality * irrationalize * irrationalization

    Noun

    (en noun)
  • A real number that can not be expressed as the quotient of two integers, an irrational number.
  • * 1946 , (Bertrand Russell), History of Western Philosophy , I.24:
  • The square root of 2, which was the first irrational to be discovered, was known to the early Pythagoreans, and ingenious methods of approximating to its value were discovered.

    arational

    English

    Adjective

    (en adjective)
  • (chiefly, philosophy) Not within the domain of what can be understood or analyzed by reason; not rational, outside the competence of the rules of reason.
  • * 1938 , Marten Ten Hoor, "The Philistines over Philosophy," The Journal of Philosophy , vol. 35, no. 20, p. 542:
  • If the end-product of a man's philosophizing about the nature of the cosmos is the ultimate, arational matter, this will affect his moral opinion of the cosmos.
  • * 1974 , , "Why Should I Believe in Science?" Philosophy and Phenomenological Research , vol. 34, no. 4, p. 484:
  • Scientific knowledge is conceptual, rational, and testable. Mystical knowledge is usually aconceptual, arational , and does not lend itself to interpersonal testing.
  • *1996 , (David Foster Wallace), Infinite Jest , Abacus 2013, p. 146:
  • *:Regarded with the objectivity of hindsight, the illusion appears arational , almost fantastic: it would be like being able both to lie and to trust other people at the same time.
  • * 2001 , Ronald De Sousa, "Moral Emotions," Ethical Theory and Moral Practice , vol. 4, no. 2, p. 109:
  • On the first view, emotions are purely biological phenomena. . . . They are arational and amoral, like other natural bodily functions.

    Synonyms

    * non-rational