Etymology
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assent (v.)

c. 1300, "agree to, approve;" late 14c. "admit as true," from Old French assentir "agree; get used to" (12c.), from Latin assentare/adsentare, frequentative of assentire "agree with, approve," from ad "to" (see ad-) + sentire "to feel, think" (see sense (n.)). Related: Assented; assenting.

assent (n.)

early 14c., "consent, approval," from Old French assent, a back-formation from assentir "to agree" (see assent (v.)). "Assent is primarily an act of the understanding; consent is distinctly the act of the will: as, I assent to that proposition; I consent to his going" [Century Dictionary].

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Definitions of assent
1
assent (v.)
to agree or express agreement;
The Maestro assented to the request for an encore
Synonyms: accede / acquiesce
2
assent (n.)
agreement with a statement or proposal to do something;
he gave his assent eagerly
Synonyms: acquiescence
From wordnet.princeton.edu