The following text is written by an otherwise great writer who is a native speaker of English language. Nevertheless, I don't get the bold part. Is it written incorrectly?
A special form of this requirement is that the belief has been acquired in a reliable way. Thinking of a belief's being based on grounds, this would amount to the requirement that the belief be based on such grounds that forming beliefs like that on the basis of grounds like that is a generally reliable way of forming beliefs, one that can be relied on provide mostly true beliefs.