noun, plural il·log·i·cal·i·ties.
Examples from the Web for illogicality
Lewis Carroll gave mathematics a holiday: he carried logic into the wild lands of illogicality.The Victorian Age in Literature|G. K. Chesterton
As at the drawing of a curtain, Archie was aware of some illogicality in his position, and stood abashed.The Works of Robert Louis Stevenson - Swanston Edition Vol. XIX (of 25)|Robert Louis Stevenson
The illogicality of this curious argument did not strike Anne.Phoebe, Junior|Mrs [Margaret] Oliphant
What angered him above all was the impossibility of it all, the illogicality, the unthinkableness of it.The Hidden Force|Louis Couperus
Out of their own mouths these men convict themselves of inconsistency in their locutions and illogicality in their reasonings.