convince / persuade

According to a traditional rule, convince is used to indicate mental acceptance, and persuade to indicate mental acceptance followed by action. Thus you convince someone of the truth of a statement or proposition but persuade someone to do something. By extension you use convince, but not persuade, with a that clause. Thus you should say By convincing me that no good could come of staying, he persuaded me to leave.    1
  If you accept this distinction, then you should not use convince with an infinitive: He persuaded (not convinced) me to go. In an earlier survey, a majority of the Usage Panel upheld this distinction. But the use of convince with an infinitive has become increasingly common even among reputable writers. In addition, both persuade and convince see frequent use with that clauses to indicate the acceptance of truth: I convinced (or persuaded) the receptionist that the matter was urgent. Thus, the traditional rule does not appear to have much of a future.    2

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