I was just thinking about the song Finite Simple Group (Of Order 2), and if you have studied graduate level math and haven’t heard it, you really should:
If you haven’t studied graduate level math, the many, many puns will not be funny—in many cases they get the meaning at least approximately correct in both senses, which is the ideal form for a pun. There is something interesting to contemplate without watching the video, though.
It is curious how context-dependent humor can be. This can, of course, become a problem. For about a year after I left grad school, I could barely make jokes which other people would understand. In fact, I often could barely make jokes because I was constantly interrupting them with, “oh, wait, that won’t make any sense to you.”
The problem was not that I couldn’t think of things to joke about that would be of general interest, but that all of the similes and analogies which sprang to mind were esoteric. Since the essence of wit is making suddenly obvious connections which are normally hidden, it proved disastrous because I couldn’t find the things which would make the connections obvious to others.
One of the things necessary for the skill of comedy, then, is to keep familiar with the things one’s audience will be familiar with, whatever those are. As can be seen by the laughter which Kleinfour (the a cappella group in the video) got, this can be esoteric if your audience happens to be made up of people who all share that esoteric knowledge.
Just a subset of the dictum, know your audience, I suppose.