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# irrational

Go to the truth beyond the mind. Love is the bridge.
Stephen Levine

## English

### Etymology

From ancient Greece circa 500 B.C. "Irrational" originally meant only that a number could not be expressed as a ratio. But for the pythagoreans it came to mean something threatening, a hint that their world view might not make sense, which is today the other meaning of "irrational".

### Pronunciation

• enPR: ĭră'sh(ə)nəl, {{IPA|/ɪˈræʃ.(ə.)nəl/, SAMPA: /I"r{S.(@.)n@l/

irrational (comparative {{{1}}}, superlative {{{2}}})
 Positive irrational Comparative{{{1}}} Superlative{{{2}}}
1. Not rational; unfounded or nonsensical.
an irrational decision
2. (mathematics) (no comparative or superlative) Of a real number, that cannot be written as the ratio of two integers.
The number π is irrational.

#### Translations

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### Noun

 Singular irrational Plural {{{1}}}
irrational ({{{1}}})
1. A real number that can not be expressed as the quotient of two integers, an irrational number.
the quotient of two irrationals a and b is a rational if and only if there is an integer n>0 and an integer m such that a*n = b*m

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### En-De

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