the quality or state of being convincing or persuasive: The cogency of the argument was irrefutable.

1680–90; cog(ent) + -ency

noncogency, noun Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
cogent (ˈkəʊdʒənt)
compelling belief or assent; forcefully convincing
[C17: from Latin cōgent-, cōgēns, driving together, from cōgere, from co- together + agere to drive]

Collins English Dictionary - Complete & Unabridged 10th Edition
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Word Origin & History

1690, from cogent (q.v.).
Online Etymology Dictionary, © 2010 Douglas Harper
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Example sentences
Still, the underlying reasons for it have some cogency.
Aesthetics are not irrelevant in explaining reality, but they must take second place to cogency.
However, only three of the five students made gains related to writing clarity and cogency.
He is almost certainly right that a relationship exists, but there may be question of its cogency.
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