Exactly my response when I first heard the “rules.” Then I thought, “okay, if those are the rules, then they’re the rules.” It’s like a game. You play by whatever arbitrary rules are set down. Now... given that... what is the largest positive integer you can come up with? Following the rules?
BTW, did you get a chance to check out the Googology Wiki? Fascinating. I can see I’ll be spending some time there.
Well without reading the Article and watching the film, the biggest number I had heard of before was the googolplex, or googol to the power of googol. To make that number bigger in a simple way, I would say googolplex! Or factorial googolplex. Which of course is googolplex * (googolplex-1) * (googolplex - 2)* .....* (googolplex -(googolplex-1)) = googolplex! I am sure there are much bigger though just from reading above, but this is more than I will ever need.