# Irrational vs Antirational - What's the difference?

## As adjectives the difference between irrational and antirational

is that irrational is not rational; unfounded or nonsensical while antirational is lacking or (especially) opposed to reason and rational thought.

## As a noun irrational

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

# irrational

## English

• 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.