Reading the article, and your comment, I think that you are right that those prayers aren't thought-terminating cliches. They do have a meditative purpose like

Reading the article, and your comment, I think that you are right that those prayers aren't thought-terminating cliches. They do have a meditative purpose like you describe. However, Wikipedia says "the admonition given to Catholic schoolchildren to recite the Hail Mary or rosary to ward off 'impure thoughts'"; if such an admonition is made in response to when the schoolchildren will say something that the teacher didn't want, then this will be a thought-terminating cliche, although the prayer itself isn't. Wikipedia also mentions 'when certain members of Islam label something haram ... that employs the use of the tactic since it states that something is forbidden and "There is no need for any more consideration of whether it is bad."'; in such a case, I think that this use of "haram" is also a thought-terminating cliche, if you cannot explain why it is bad. > I'm entitled to my opinion, so let's just agree to disagree. I agree that you are entitled to your opinion, although, like other comments mention, I think that "let's just agree to disagree" is also a thought-terminating cliche. However, of course even despite such a saying, responses can still be made anyways; so, if they are discussed/argued despite that, then it can be less of a problem. And, rather than merely saying "agree to disagree", you had presented your arguments for why you disagreed with it, so that is better than merely saying that you will disagree, or will agree to disagree; so, more discussion, argument for/against it can be possible, rather than shutting it out. (Of course, you can agree or disagree with me, too. However, it is good to make the argument of why you will agree or disagree, if you can.)