'illogicality' originates from the Latin word 'illogicus,' where 'in-' meant 'not' and 'logikos' meant 'pertaining to reasoning.'

'illogicus' transformed into the French word 'illogique,' and eventually became the modern English word 'illogicality' through Middle English.

Initially, it meant 'not pertaining to reasoning,' but over time it evolved into its current meaning of 'lack of logic or sound reasoning.'