User blog comment:Boboris02/Breakthrough! Traditional OCF definition for TON/@comment-30754445-20180414193201/@comment-30118230-20180415122703

I don't really get why you are saying this. It's quite the opposite, oftentimes very intuitive things are very hard to prove in some formal system. It's not about how intuitive the statement is, but how strong of a statement is and what consequences it has. For an adequate example, you yourself said that you were surprised that there is a discussion of whether TON is well-founded or not, since given it's definition it seems almost trivial that it "works" as a function on ordinals.