What is the difference between transcendental and irrational?
transcendental | irrational | Hypernyms |
(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.
Not rational; unfounded or nonsensical.
* July 18 2012 , Scott Tobias, AV Club The Dark Knight Rises [http://www.avclub.com/articles/the-dark-knight-rises-review-batman,82624/]
(mathematics, arithmetic, number theory, not comparable) Of a real number, that cannot be written as the ratio of two integers.
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:
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
Adjective
(en adjective)Antonyms
* (mathematics) algebraicHypernyms
* (mathematics) irrationalDerived terms
* transcendental ego * transcendental function * transcendentalize * transcendental meditation * transcendental number * transcendentalismirrational
English
Adjective
(en adjective)- an irrational decision
- 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.
- The number π is irrational .
Antonyms
* (mathematics) rationalHyponyms
* (mathematics) transcendentalDerived terms
* irrational number * irrationality * irrationalize * irrationalizationNoun
(en noun)- 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.