NASA has had some projects to try to notify ETs of our presence on Earth. AFAIK they're still doing it? They should have asked transhumanists what the expected value of being contacted by ET is.
People are still doing it, not NASA though. Their rationalizations can get pretty funny. It seems stupid but rather harmless; it's hard to find a set of assumptions under which there's a nontrivial probability that it matters.
David Stove's "What Is Wrong With Our Thoughts" is a critique of philosophy that I can only call epic.
The astute reader will of course find themselves objecting to Stove's notion that we should be catologuing every possible way to do philosophy wrong. It's not like there's some originally pure mode of thought, being tainted by only a small library of poisons. It's just that there are exponentially more possible crazy thoughts than sane thoughts, c.f. entropy.
But Stove's list of 39 different classic crazinesses applied to the number three is absolute pure epic gold. (Scroll down about halfway through if you want to jump there directly.)
I especially like #8: "There is an integer between two and four, but it is not three, and its true name and nature are not to be revealed."