illogical
adjective
                                                                                                                            
                                                            il·log·i·cal
                    
                                                                                                              
                                                                                                                                  (ˌ)i(l)-ˈlä-ji-kəl 
                                                      
                                                          
            1
                    
                                          
              
          
                                                      : not observing the principles of logic                                      
              
                             
an illogical argument
                         
                
                    2
                    
                                          
              
          
                                                      : devoid of logic : senseless                                      
              
                             
illogical policies
                         
                
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  Merriam-Webster unabridged




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