noncontradiction

noun
non·con·tra·dic·tion | \ˌnän-ˌkän-trə-ˈdik-shən \

Definition of noncontradiction 

: absence of logical contradiction … the law of noncontradiction, which states that contradictory propositions cannot both be true at the same time and in the same sense.— Pat Zukeran

First Known Use of noncontradiction

1853, in the meaning defined above

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The first known use of noncontradiction was in 1853

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