inconsistency inconsistency /ˌɪnkənˈsɪstənsi/

noun

1. The quality of being inconsistent and lacking a harmonious uniformity among things or parts  ( inconsistency )
   the quality of being inconsistent and lacking a harmonious uniformity among things or parts
   
2. The relation between propositions that cannot both be true at the same time  ( inconsistency , mutual exclusiveness , repugnance , incompatibility )
   the relation between propositions that cannot both be true at the same time