noun, plural irrationalities for 2.
the quality or condition of being irrational.
an irrational, illogical, or absurd action, thought, etc.

1560–70; irrational + -ity Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
irrationality or irrationalism (ɪˌræʃəˈnælɪtɪ)
1.  the state or quality of being irrational
2.  irrational thought, action, or behaviour
irrationalism or irrationalism

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
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Example sentences
It leads to irritability, irrationality, and irascibility.
Irrationality plus greed, of course, and a substantial dose of ignorance.
There is nothing that humans' rationality or irrationality can do about it.
Point out the irrationality of my arguments, please.
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