Insistence is refusing to let a demand drop. His insistence on it, at her insistence, quiet insistence.
The repetition is what makes it insistence rather than a request — insisting means asking again after being refused. At somebody's insistence is the standard formula for recording who pushed. Note insist; and that the Latin means to stand on, so insisting is standing on the point and not moving.
1nouninsistenceRefusing to let a demand drop.
“At my mother's insistence, I wore a coat, and I was glad I did.”
insistence is a persisting demand.
Latin insistere is in plus sistere, to stand. Assist, consist and persist come from the same standing.
Old French
insister — to insist
Middle English
insistence
English, today
insistence
From Middle English insistence, derived from Old French insister (“to insist”). Compare Middle French insistance. Morphologically insist + ence.
Etymology from Wiktionary, CC BY-SA