inconsistence

noun, plural in·con·sist·en·cies for 2.

1. the quality or condition of being inconsistent.
2. an inconsistent thing, action, remark, etc.

noun plural -cies

1. lack of consistency or agreement; incompatibility
2. an inconsistent feature or quality
3. logic
   1. the property of being inconsistent
   2. a self-contradictory proposition