User blog:Alejandro Magno/Imagining Large Numbers

Why did i even make this?

Ok, so... let's start with something small like, a million. That is one followed by 6 zeroes, or 1000000, or 10^6.

Let define 10^n = one followed by n zeroes.

So we can have huge things like:

10^10, 10^100 (googol), 10^1000, 10^10^6, 10^10^10, 10^10^100 (googolplex), 10^10^10^10,...

Now let's make something HUGE like:

10^10^10^...^10^10^10 with one million levels

THAT IS HUGE!

Let define a function:

big(n) = 10^10^10^...^10^10^10 with big(n-1) levels

and...

big(0) = one googol (10^100)

Now let's have big(big(100))! Or big(big(big(...(big(big(100)))...))) with 100 levels! Or with one million levels! One googol! big(100)!...

Let define:

big_0(n) = big(n)

big_m(n) = big_m-1(big_m-1(big_m-1(...(big_m-1(big_m-1(big_m-1(n-1))))...))) with n levels and big_m(0) = 10.

OMG! THAT IS HUGE!

But for googologists this is just a small step.

Let's continue with big_big(100)(100)! Or big_big_big(100)(100)(100)! Now have big(100) levels! OMG!

Of course, we can have that number of levels, and then repeat the process that number of times! Then change the number by that number, and repeat the process that number of times!!!!!!!!!!!!!!!

And then repeat this process that number of times, change the number to that number, repeat the number n (that number) times, repeat process n times, repeat, repeat, repeat,... have 100 levels, n levels, n levels, repeat process n times, nest, levels, purple, red, nuke, tree, paint,.......wut?

Ok, i give up. I think this was catastrophic. I mean, very bad. Let's say we did not did this, ok? :D