irrational

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[edit] English

[edit] 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".

[edit] Pronunciation

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

[edit] Adjective

irrational (comparative more irrational, superlative most irrational)

Positive
irrational

Comparative
more irrational

Superlative
most irrational

  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.

[edit] Derived terms

[edit] Translations

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[edit] Noun

Singular
irrational

Plural
irrationals

irrational (plural irrationals)

  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

[edit] Translations