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illogical  
If you describe an action, feeling, or belief as illogical, you are critical of it because you think that it does not result from a logical and ordered way of thinking.  adj 
 (disapproval)   (=irrational, unreasonable) 
It is illogical to oppose the repatriation of economic migrants...  
♦  illogically  adv 
Illogically, I felt guilty.