Stefan: If you have a concrete proposal along these lines, please feel free to share it (the MO.3 discussion that I implicitly linked to -- see the second link -- might be a good place).

My apologies; I hadn't seen the comment activity before posting my answer (which in any case makes oblique and hopefully tame reference to an earlier version of the question).

Relax, Timothy. There are no plans to institute any such policy (as should be clear from the discussion here, it is agreed that people can have good reasons for employing pseudonyms).

Here might be a reasonable place to add that a number of MO users seem to have a very broad sense of constitutes 'spam' (often used in place of Very Low Quality). It would be clearer and more useful if we could reserve it for the sense of unsolicited advertising (the original sense had to do with bulk emails, but I'd happily include mentions of one's vixra preprints as part of 'spam' in the present sense).

For what interest it might have, I think MSE has well over 10 times that much per day.

Hm, maybe not enough high-rep users are not asking many questions themselves (these days)? I'm curious to know.

@Kaveh Actually, I made all of those points.

@DanielMoskovich In the vast majority of cases, it seems posters who post those questions that MO rejects are not too fussy about the website, as they make absolutely no attempt to find out what MO is and if it's right for them; really they just want someone to answer the question. Abstractly I guess I see Mark's point, but in practice this is IMO way too fussy a procedure. The small number of people who object to having their question migrated to another site could just delete the question; heck, it's going to be closed anyway on MO. Usually migration is a favor and convenience; saves time.

Perhaps not clearly off-topic, but it does look like a peculiar question to me. I am guessing OP saw the stated theorem ("Th.") in a book or paper somewhere and wants to know what it's good for. It would help to know what book or paper it was, so that some needed context could be divined.

With regard to the practice of completely closing questions versus migrating them (primarily to MSE): I am generally sympathetic to what fedja suggests, except that some questions are just so badly written that I'd feel guilty just dumping such trash on MSE, which is already overrun (I like fedja's "overflown"!). I really don't feel much remorse if the poster can't take some minimal care writing something coherent; consign it to the ashes.

@AndresCaicedo Yes, you're right. I know Paul a little and I think I understand a little of where he is coming from and his sense of justice. While censoring posts might seem like an act of "political suppression", it's really not; it's just that we have a policy of removing offensive posts. I trust Paul will understand and will in the future exercise his skills as a writer to get his points across without name-calling.