ir·ra·tion·al·i·ty

[ih-rash-uh-nal-i-tee]
noun, plural ir·ra·tion·al·i·ties for 2.
1.
the quality or condition of being irrational.
2.
an irrational, illogical, or absurd action, thought, etc.

Origin:
1560–70; irrational + -ity

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Based on the Random House Dictionary, © Random House, Inc. 2013.
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World English Dictionary
irrationality or irrationalism (ɪˌræʃəˈnælɪtɪ) [Click for IPA pronunciation guide]
 
n
1.  the state or quality of being irrational
2.  irrational thought, action, or behaviour
 
irrationalism or irrationalism
 
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
Cite This Source
00:10
Irrationality has a plethora of syllables.
So is dichlorodiphenyltrichloroethane. Does it mean:
an obscure term ostensibly referring to a lung disease caused by silica dust, sometimes cited as one of the longest words in the English language.
a white, crystalline, water-insoluble solid, C14H9Cl5, usually derived from chloral by reaction with chlorobenzene in the presence of fuming sulfuric acid: used as an insecticide and as a scabicide and pediculicide: agricultural use prohibited in the U.S.
Example sentences
The darkest side seems to be the extreme irrationality of people.
Irrationality in social action must be replaced by careful planning as to which
  strategies are selected to attain specific goals.
We're stuck in this world of corruption, imperfection, and emotional
  irrationality.
Point out the irrationality of my arguments, please.
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