1670s, from un- (1) "not" + past participle of convince (v.). Unconvincing is recorded from 1650s.
Entries linking to unconvinced
un- 1
prefix of negation, Old English un-, from Proto-Germanic *un- (source also of Old Saxon, Old Frisian, Old High German, German un-, Gothic un-, Dutch on-), from PIE *n- (source of Sanskrit a-, an- "not," Greek a-, an-, Old Irish an-, Latin in-), combining form of PIE root *ne- "not." Often euphemistic (such as untruth for "lie").
The most prolific of English prefixes, freely and widely used in Old English, where it forms more than 1,000 compounds. It underwent a mass extinction in early Middle English, but emerged with renewed vigor 16c. to form compounds with native and imported words. It disputes with Latin-derived cognate in- (1) the right to form the negation of certain words (indigestable/undigestable, etc.), and though both might be deployed in cooperation to indicate shades of meaning (unfamous/infamous), typically they are not.
It also makes words from phrases (such as uncalled-for, c. 1600; undreamed-of, 1630s; uncome-at-able, 1690s; unputdownable, 1947, of a book; un-in-one-breath-utterable, Ben Jonson; etc., but the habit is not restricted to un-; such as put-up-able-with, 1812). As a prefix in telegramese to replace not and save the cost of a word, it is attested by 1936.
convince v.
1520s, "to overcome in argument," from Latin convincere "to overcome decisively," from assimilated form of com-, here perhaps an intensive prefix (see com-), + vincere "to conquer" (from nasalized form of PIE root *weik- (3) "to fight, conquer"). Meaning "to firmly persuade or satisfy by argument or evidence" is from c. 1600. Related: Convinced; convincing; convincingly.
To convince a person is to satisfy his understanding as to the truth of a certain statement; to persuade him is, by derivation, to affect his will by motives; but it has long been used also for convince, as in Luke xx. 6, "they be persuaded that John was a prophet." There is a marked tendency now to confine persuade to its own distinctive meaning. [Century Dictionary, 1897]