User blog comment:XYZeed/What does the omega symbol mean in size?/@comment-36856644-20190810092428

ω (omega) is a sort of infinity. the difference being, that it actually isnt really infinite. its a strange concept, really.

if you add 1 to infinity, you get infinity. if you add 1 to ω, you get ω + 1.

you can also have ω + 2, ω + 3, ω + 4, ω + ω (ω * 2), ω * ω (ω2). And so on and so on, until you reach ωω ω ω . ..

ε0 is equal to ω tetrated to ω. After that comes ε1, which is just ε0 tetrated to ε0. ε2 is ε1 tetrated to ε1 and so on and so on.

ζ0 is equal to εε ε ε ...  same rules apply here. ζ1 is ζ0 tetrated to ζ0...

The last one in this chain is η0. Same rules apply as above.

After that comes Γ0. It takes the rules already asserted, and creates NEW symbols. Example: Γ0 is ω, Γ1 is ε0, Γ2 is ζ0, Γ3 is η0 and so on.

The gamma function has many extentions, but they get actually really complex. It's been around a year since I actually indulged in set theory, but I still do remember alot. If you are interested in this, I recomend watching Giroux Studios series titled Extremely Large Numbers. He explains the FGH and the ordinals as well.