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irrational

American  
[ih-rash-uh-nl, -rash-nl] / ɪˈræʃ ə nl, -ˈræʃ nl /

adjective

  1. without the faculty of reason; deprived of reason.

  2. without or deprived of normal mental clarity or sound judgment.

  3. not in accordance with reason; utterly illogical.

    irrational arguments.

    Synonyms:
    insensate, ridiculous, unreasonable
  4. not endowed with the faculty of reason.

    irrational animals.

  5. Mathematics.

    1. (of a number) not capable of being expressed exactly as a ratio of two integers.

    2. (of a function) not capable of being expressed exactly as a ratio of two polynomials.

  6. Algebra. (of an equation) having an unknown under a radical sign or, alternately, with a fractional exponent.

  7. Greek and Latin Prosody.

    1. of or relating to a substitution in the normal metrical pattern, especially a long syllable for a short one.

    2. noting a foot or meter containing such a substitution.


noun

  1. Mathematics. irrational number.

irrational British  
/ ɪˈræʃənəl /

adjective

  1. inconsistent with reason or logic; illogical; absurd

  2. incapable of reasoning

  3. maths

    1. not rational

    2. ( as noun )

      an irrational

  4. prosody

    1. of or relating to a metrical irregularity, usually the occurrence of a long syllable instead of a short one

    2. denoting a metrical foot where such an irregularity occurs

"Collins English Dictionary — Complete & Unabridged" 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

Other Word Forms

  • irrationally adverb
  • irrationalness noun
  • nonirrational adjective
  • nonirrationalness noun

Etymology

Origin of irrational

First recorded in 1425–75; late Middle English, from Latin irratiōnālis; ir- 2 ( def. ), rational ( def. )

Example Sentences

Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.

A couple of weeks after the column External link ran, Greenspan made his famous “irrational exuberance External link” speech, warning investors against getting too excited about tech stocks.

From Barron's

While the motives that drive a knight are often human, political, or both, the logic is as miraculous and irrational as a muddy hedge knight crawling out from under a fallen dragon.

From Salon

Michael Taylor, chair of the Friends of Brockwell Park, told the meeting: "It is irrational to conclude that there is only limited temporary harm in the delicate heritage balance."

From BBC

This was an irrational fear, but this was where Shiffrin was at this point.

From The Wall Street Journal

Freight was another sector that some analysts said was subjected to irrational AI fears last week.

From MarketWatch