Conviction is “a firmly held belief” and “firmness of belief”: It is my conviction [not persuasion] that the defendant newspaper’s First Amendment rights have been violated.I say this with total conviction [not persuasion]: we are headed for a recession.
Persuasion is “the act or ability to get someone else to accept your opinion, belief, or viewpoint,” “a set of beliefs,” and “a group of people with particular beliefs,” as in: She used great persuasion in conveying her position to the voters; a politician of the conservative persuasion.
<taken from Microsoft Encarta Dictionary>
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