Definitions: (1) satisfying or assuring by argument or proof; (2) persuasive of the truth, rightness, or reality of something; plausible
Every one of us is different in some way, but for those of us who are more different, we have to put more effort into convincing the less different that we can do the same thing they can … just differently. — Marlee Beth Matlin (1965-) American deaf actress, & author
Your self-belief does occasionally take a knock and you have to be pretty strong to keep convincing yourself you’re doing the right thing. — Martin Hugh Michael O’Neill (1952-) Northern Irish professional football manager
Note: Of course, one also has to have a higher sense of what “the right thing” is.
Comment: There is both mental logic and emotional conviction in a convincing argument.