Wonderful article! After a long time shaking my head at people still trying to solve the continuum hypothesis, a few years ago, I started to very slowly change my opinion to: perhaps that might still happen!
During that time, one or perhaps a few hunches have sneaked in and I'd like to check if they even make sense (are answered in the literature, etc...), but I haven't managed to capture my ideas in proper questions.
[Edit: So I might ask people to talk me out of it. My feeling clearly says that there's something I don't understand. Phew, I almost forgot that this is dangerous territory.]
Logic is subtle and quite complicated. I really like the outlook at the end. Two front lines, and a dazzling result asking to change the rules.