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WordNet-Online 
 Definitions from WordNet
Noun illogicality has 1 sense 
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| Definitions from the WebIllogicalityNoun: The state or quality of being illogical; lack of reasoning or clear thinking. Example sentences: 
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| illliterate illness illnesses illocution illocutionary illogic illogical illogicalities illogicality illogically illogicalness illtreated illuion illumate illume illuminance illuminant 
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