Longman Dictionary of Contemporary English homepage

illogical

 adjective
     
il‧lo‧gi‧cal
not sensible or reasonable [≠ logical]:
illogical and unreasonable fear
it is illogical to do something
It is illogical to assume you can do the work of three people.
—illogically adverb
—illogicality noun [uncountable]
Definition from the Longman Dictionary of Contemporary English
Advanced Learner's Dictionary.

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