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irrational

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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/

Adjective

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.

Derived terms

Translations

The translations below need to be checked and inserted above into the appropriate translation tables, removing any numbers. Numbers do not necessarily match those in definitions. See instructions at Help:How to check translations.

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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