noun, plural inconsistencies for 2.
the quality or condition of being inconsistent.
an inconsistent thing, action, remark, etc.
Also, inconsistence.

1640–50; in-3 + consistency Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
inconsistency (ˌɪnkənˈsɪstənsɪ)
n , pl -cies
1.  lack of consistency or agreement; incompatibility
2.  an inconsistent feature or quality
3.  logic
 a.  the property of being inconsistent
 b.  a self-contradictory proposition

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
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Example sentences
While their eye would accept scenes of violence, their mind began to balk at
  repeated inconsistencies.
Truth is in every sect and party, though they speak inconsistencies among
  themselves and contradictions to one another.
The sophistications of intolerance are refuted by their inconsistencies.
No author ever drew a character, consistent to human nature, but what he was
  forced to ascribe to it many inconsistencies.
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