If it's worth saying, but not worth its own post (even in Discussion), then it goes here.
Notes for future OT posters:
1. Please add the 'open_thread' tag.
2. Check if there is an active Open Thread before posting a new one. (Immediately before; refresh the list-of-threads page before posting.)
3. Open Threads should be posted in Discussion, and not Main.
4. Open Threads should start on Monday, and end on Sunday.
Paradox at the heart of mathematics makes physics problem unanswerable
Undecidability of the Spectral Gap (full version) by Toby Cubitt, David Perez-Garcia, Michael M. Wolf
Ask an unbounded question, get an uncomputable answer by Scott Aaronson