As Eliezer pointed out on HN, there is a way to define numbers that dominate BB values as decisively as BB dominates the Ackermann function, but you actually need some math knowledge to make the next step, not just stack BB(BB(...)) or something. (To be more precise, once you make the step, you can beat any person who’s “creatively” using BB’s and oracles but doesn’t know how to make the same step.) And after that quantum leap, you can make another quantum leap that requires you to understand another non-trivial bit of math, but after that leap he doesn’t know what to do next, and I, being a poor shmuck, don’t know either. If you want to work out for yourself what the steps are, don’t click the link.
As Eliezer pointed out on HN, there is a way to define numbers that dominate BB values as decisively as BB dominates the Ackermann function, but you actually need some math knowledge to make the next step, not just stack BB(BB(...)) or something. (To be more precise, once you make the step, you can beat any person who’s “creatively” using BB’s and oracles but doesn’t know how to make the same step.) And after that quantum leap, you can make another quantum leap that requires you to understand another non-trivial bit of math, but after that leap he doesn’t know what to do next, and I, being a poor shmuck, don’t know either. If you want to work out for yourself what the steps are, don’t click the link.