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Adjective illogical has 2 senses
illogical, unlogical - lacking in correct logical relationAntonyms:  logical, dianoetic, discursive, formal, ratiocinative
 
confused, disconnected, disjointed, disordered, garbled, illogical, scattered, unconnected - lacking orderly continuity; "a confused set of instructions"; "a confused dream about the end of the world"; "disconnected fragments of a story"; "scattered thoughts"Antonym:  coherent (indirect, via incoherent)
 
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