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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
The restless Blackpool away end were made more furious by the inconsistency of the referee in handing out yellow cards.
Our main problem has been our inconsistency which can let us down, but that means sometimes we end up doing ourselves justice.
The authors attributed this inconsistency to the two cultures' different expectations for children's behaviour.
The authors attribute this inconsistency to differences in intensive care unit administration and manpower.
Mr. Lander's inconsistency between this item and, say, the cupboards, is noteworthy.
One of the ironies of multiculturalism is its inconsistency with the other tenets of the liberal articles of faith, such as feminism.

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