Illogicality is a 12 letter English word. It's valid Words with friends word worth 22 points.
You can make 324 anagrams from letters in illogicality (acgiiillloty).
First recorded in 1820-30; illogical + -ity
As at the drawing of a curtain, Archie was aware of some illogicality in his position, and stood abashed.
I can never insist enough, my dear Cyril, upon the illogicality of American life.
The illogicality of this curious argument did not strike Anne.
Muscari, with the illogicality of a lover, admired this filial devotion, and yet was irritated by it.
The Utilitarians thought themselves justified in taking advantage of the illogicality of mankind.
The illogicality of this letter would be amusing if it had not been so disastrous.
Out of their own mouths these men convict themselves of inconsistency in their locutions and illogicality in their reasonings.
Life is not an illogicality; yet it is a trap for logicians.
Lewis Carroll gave mathematics a holiday: he carried logic into the wild lands of illogicality.
What angered him above all was the impossibility of it all, the illogicality, the unthinkableness of it.
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