Kinda like (2/2)+(3/3) but way more complicated
Kinda like (2/2)+(3/3) but way more complicated
The standard way when using ordinal arithmetic is: Take the ordinal 1, which is {{}}. Replace each element with a ordered pair of the form {{a},{a,b}} with second element being 0 (that is {}). Repeat with second element 1. Take a union. Take find the ordinal with this order. Overall: otp({ {{{}},{{},{}}}, {{{}},{{},{{}}}} }) Or simplified
otp({ {{{}}}, {{{}},{{},{{}}}} })
(10^googol^)^0^ + (TREE(3))^0^
Although that's fairly easy to write. It's hard to calculate, if you calculate the brackets first.
I saw somewhere that someone had decoded how an AI had learnt to do basic arithmetic. And it appeared to be using a massive expression containing lots of sin & cosines to do basic addition