3. An alien comes up to you and tells you the following: You can give the alien one statement expressible in the language of ZFC. The statement must be a known mathematical conjecture (. P=NP would be ok. But “P=NP has a proof of length less than Ackerman(100) in ZFC would be not ok since that’s not a conjecture.) If the statement has a proof or disproof the alien will provide it. If the supply is undecidable the alien will shoot you with its raygun. If you don’t supply a conjecture it will also shoot you with its raygun. What conjecture do you ask about?
There are so many reasons why working as a guide is the obvious choice for me. I love to travel, experience wild places, meet interesting people, and stay physically active. Guiding enables me to keep doing all of that but mostly it just validates the sense I have of myself as a liaison between people and the world outside. When people travel we take time to reflect upon the world and our place in it, which although more important than ever we seldom do anymore. So I believe that encouraging and enabling people to simply be in the world is a worthy contribution and, having spent my entire adult life so far pursuing adventure, it must be what I'm most qualified to do.