Fascinating stuff: i love it when math gets deep and trippy, thanks.

i have to leave this nugget of math here if u haven't heard of it, its one of my faves:

TREE(3), for a while a record holder of fastest growing function.

ok so huge number building functions and proofs use special symbols and special functions.

there is one called Knuth's up arrow.

put one arrow between two 3s and you have 16

put two arrows in and you have 65536

three arrows gives us a number with roughly 7 trillion digits in it!!!

i cant really easily describe the next one

TREE(x) grows faster though.

TREE(x) concerns trees that you can make from a certain number of colored seeds, the x in the function. you construct different trees and the number of possible unique trees gives you the output number (its actually a little more complicated but its too hard to explain for me)

TREE(1) is 1 (there is only one possible tree, the seed sitting alone)

TREE(2) is 3 (one of the seeds, the other one and the two connected to each other)

TREE(3) though is CRAZY. it IS finite but the number cannot fit in the observable universe even if every digit is written on a single particle. or even in a single planck volume. it probably cant fit in trillions and sextillions of universes but it is NOT infinite.

this blows my mind. but there's more:

using set theory you can prove that the proof in conventional maths that TREE(3) is finite, requires you to invent more functions (+, -, divide, multiply, e, squareroots etc.) than you can fit in the observable universe!!!!!!!!!!!!!

it just blows my mind that these conceptual structures are out there. things that dwarf the universe which is already so big it's hard to wrap ones head around.

and then there's always infinity!!!!!

"With every thought word and deed, each individual sets forth influence in their surroundings which is subject to no barriers and reaches every level of creation"

".....its our responsibility to uplift the consciousness of the ENTIRE fucking world......" Saul Williams, DJ Krust tune.