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What does inconsistency mean?

Looking for the meaning or definition of the word inconsistency? Here's what it means.

Noun
  1. The state of being inconsistent.
  2. (logic) An incompatibility between two propositions that cannot both be true.
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Examples
There is no inconsistency between the express words of the policies and that custom.
The authors attribute this inconsistency to differences in intensive care unit administration and manpower.
The authors attributed this inconsistency to the two cultures' different expectations for children's behaviour.
This inconsistency is infuriating clubs and leaving them feeling that the whole process is something of a lottery.
Mr. Lander's inconsistency between this item and, say, the cupboards, is noteworthy.
The restless Blackpool away end were made more furious by the inconsistency of the referee in handing out yellow cards.

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