Mathematical maturity should be well defined if you are using it as a prerequisite. Mathematicians, of all people, should be good at coming up with such precise definitions.
What happens when people tell you about problems that require experts in a specific area to solve, and you are not an expert in that area? Do you still try to help?
Like I will tell my friends and family about problems I am having at work because they are my friends and family and I assume that they care about how my life is going. If they are able to provide solutions, I will not rule it out for them. But most likely they are not because they have different jobs. When people attempt to give advice on things they don't know about, I assume they are more interested in appearing smart than my well being.
At least for me, I would love advice that perfectly solves all my problems. But probably this advice doesn't exist, because if it did, I would have figured it out already. I often have conversations that go like this -
Me: I have this problem that sucks.
Other person: Have you tried A?
Me: No, I thought about that already. A isn't a good idea because of B.
Other person: Well, what about C?
Me: No, I thought about that too. C isn't a good idea because of D.
Other person: (Angrily) Well, I don't know how to help you then.
And so now in addition to having to deal with a hard problem to solve, I have to deal with making other people angry about how they can not solve my hard problems.
I know many people who are very happy to talk to me online but are not willing to hang out with me in real life. In my case it's because I'm inherently unlikeable, but I suspect if I were unaware of this, I would assume it's because people like to be online.
What do you do when your friends don't pick up, or if they aren't willing to go on outings with you? I think the biggest contributor to my loneliness is that no one seems to like me. I reach out to hang out, and usually, get rejected.
The rumor that I heard was that the student leadership of Senior House was dealing cocaine to students, and was using their clout to do so (for example, by advertising to mailing lists of Senior House residents). Which might have been fine normally, but this was during this turnaround process, which made MIT administration think that people were not taking this seriously. At one point MIT thought it would be fine to allow only those students who were taking the turnaround seriously, and sort of recreate the image of Senior House. Then Senior House alumni started internet harassment campaigns against specific people in the MIT administration, so MIT decided to just shut the dorm down.