[I'd put this in an open thread, but those don’t seem to happen these days, and while this is a quote it isn't a Rationality Quote.]
You know, one of the really weird things about us human beings […] is that we have somehow created for ourselves languages that are just a bit too flexible and expressive for our brains to handle. We have managed to build languages in which arbitrarily deep nesting of negation and quantification is possible, when we ourselves have major difficulties handling the semantics of anything beyond about depth 1 or 2. That is so weird. But that's how we are: semantic over-achievers, trying to use languages that are quite a bit beyond our intellectual powers.
— Geoffrey K. Pullum, Language Log, “Never fails: semantic over-achievers”, December 1, 2011
This seems like it might lead to something interesting to say about the design of minds and the usefulness of generalization/abstraction, or perhaps just a good sound bite.
Or it might lead to formalizing how many layers of negation (I don't know what he means by quantification) it's safe to use, not to mention thinking about why one is using multiple layers of negation.
Why say "never fails to disappoint" if what you mean "is reliably excellent"?
A related question-- sometimes layers of negation are necessary to describe complex systems like biology or government-- something starts to happen, but something else limits it, and then another part of the system steps in to try to keep the limits from being overdone, and so on. I'm apt to lose track-- what's apt to help?
When I see something like "a referendum to overturn a law repealing a ban on X" and get confused, one thing I do is count the negations. In my example there are three, so people who support the referendum are against X and vice versa. Even if there are nuances that simple negation-counting misses (like "always fails to verb" vs. "doesn't always verb successfully", which both have one), that gives me a basic framework that then lets me add the nuances back in without getting confused.