Locke discusses the formation of propositional thoughts, but takes for granted the difference between thinking P and believing that P. Hume does the reverse: theorizes about belief, while helping himself to propositional thoughts. He rightly holds that wondering does not differ from believing in propositional content; the only difference he can find is in how vivaciously the relevant propositional idea occurs in the person's mind. This is a bad account of belief, though there is much instructive philosophy in Hume's arguments for it.
Keywords: belief, Hume, idea, Locke, proposition, vivacity