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What is the difference between transcendental and irrational?

transcendental | irrational | Hypernyms |

Irrational is a hyponym of transcendental.

Irrational is a hypernym of transcendental.



As nouns the difference between transcendental and irrational

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

As adjectives the difference between transcendental and irrational

is that transcendental is concerned with the a priori or intuitive basis of knowledge, independent of experience while irrational is not rational; unfounded or nonsensical.

transcendental

English

Noun

(en noun)
  • (obsolete) A transcendentalist.
  • Adjective

    (en adjective)
  • (philosophy) Concerned with the a priori or intuitive basis of knowledge, independent of experience.
  • Superior, surpassing all others.
  • Extraordinary.
  • Mystical or supernatural.
  • (mathematics, number theory) Of, or relating to a number that is not the root of any polynomial that has positive degree and rational coefficients.
  • Antonyms

    * (mathematics) algebraic

    Hypernyms

    * (mathematics) irrational

    Derived terms

    * transcendental ego * transcendental function * transcendentalize * transcendental meditation * transcendental number * transcendentalism

    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.