Etymology
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assertion (n.)

early 15c., assercioun, "a declaration, confirmation" from Old French assercion (14c.) or directly from Late Latin assertionem (nominative assertio), noun of action from past-participle stem of Latin asserere/adserere "to claim, lay claim to, appropriate," from ad "to" (see ad-) + serere "join together, put in a row" (from PIE root *ser- (2) "to line up"). By "joining oneself" to a particular view, one "claimed" or "maintained" it. From mid-15c. as "an unsupported statement."

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Definitions of assertion

assertion (n.)
a declaration that is made emphatically (as if no supporting evidence were necessary);
Synonyms: averment / asseveration
assertion (n.)
the act of affirming or asserting or stating something;
Synonyms: affirmation / statement
From wordnet.princeton.edu