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ir·ra·tion·al

[ih-rash-uh-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.
4.
not endowed with the faculty of reason: irrational animals.
5.
Mathematics.
a.
(of a number) not capable of being expressed exactly as a ratio of two integers.
b.
(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.
a.
of or pertaining to a substitution in the normal metrical pattern, especially a long syllable for a short one.
b.
noting a foot or meter containing such a substitution.
noun
8.
Mathematics, irrational number.
00:10
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a stew of meat, vegetables, potatoes, etc.
a gadget; dingus; thingumbob.

Origin:
1425–75; late Middle English < Latin irratiōnālis. See ir-2, rational

ir·ra·tion·al·ly, adverb
ir·ra·tion·al·ness, noun
non·ir·ra·tion·al, adjective, noun
non·ir·ra·tion·al·ly, adverb
non·ir·ra·tion·al·ness, noun


3. unreasonable, ridiculous; insensate.
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Based on the Random House Dictionary, © Random House, Inc. 2013.
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Collins
World English Dictionary
irrational (ɪˈræʃənəl) [Click for IPA pronunciation guide]
 
adj
1.  inconsistent with reason or logic; illogical; absurd
2.  incapable of reasoning
3.  maths
 a.  not rational
 b.  (as noun): an irrational
4.  in Greek or Latin verse prosody
 a.  of or relating to a metrical irregularity, usually the occurrence of a long syllable instead of a short one
 b.  denoting a metrical foot where such an irregularity occurs
 
ir'rationally
 
adv
 
ir'rationalness
 
n

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
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Etymonline
Word Origin & History

irrational
c.1470, "not endowed with reason" (of beats, etc.), from L. irrationalis "without reason," from in- "not" + rationalis "reason" (see reason). Meaning "illogical, absurd" is attested from 1641.
Online Etymology Dictionary, © 2010 Douglas Harper
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American Heritage
Medical Dictionary

irrational ir·ra·tion·al (ĭ-rāsh'ə-nəl)
adj.
Not rational; marked by a lack of accord with reason or sound judgment.

The American Heritage® Stedman's Medical Dictionary
Copyright © 2002, 2001, 1995 by Houghton Mifflin Company. Published by Houghton Mifflin Company.
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