Omega and One

The symbol: w+1. This is the smallest ordinal number after "omega". Informally we can think of this as infinity plus one. One formulation of ordinals is to treat them as sets of all smaller ordinals. In order to say omega and one is "larger" than "omega" we define largeness to mean that one ordinal is larger than another if the smaller ordinal is included in the set of the larger. The set w+1 would be {w,0,1,2,3,...}. It would be composed of all the non-negative integers plus omega. Thus w+1 by this definition is larger. However, since the cardinality of every ordinal is represented by the cardinality of it's set, we can also show that in a sense w = w+1, since w={0,1,2,3,...} and w+1={w,0,1,2,...} we can pair off arguments as: {(0,w),(1,0),(2,1),(3,2),...}, which shows both sets have the same number of elements, even though w+1 includes one more. Confused? Basically there is two ways to look at comparison of infinities: the cardinal view and the ordinal view. By the ordinal view, omega and one is greater, by the cardinal view omega and omega plus one are the same thing. Cardinals don't play a large role in googology, but the countable ordinals do. So for our purposes the distinction between w and w+1 is important. (I copied this off a google site)

guy: yo I have omega and one pencils
guy 2: how the (AUUUUGGGGHHH) do you have omega and one

by SauceQuest31 December 29, 2022

One Direction

one of the best boybands in the world. they love everyone and everything. teenage girls get horny just thinking about them. so much sexual tension. boyfriends hate them.

girl: did you see the new One Direction music video! god they’re so hot
boyfriend: *thinks about how annoying this is*

by rockme1d April 8, 2020

one of the originals

a weird/embarrassing video (most of the time, a tiktok) that people end up mocking in the future and making comedic videos imitating it.

person 1: this is one of the originals
person 2: oh yeah, I've seen the other videos of this

by CheeseLover666 May 8, 2021

The One Piece...

The One Piece... Is a word that defines can we get much higher so high!!!!!

Hey, bro did you know the one piece... the one piece is reall! can we get much higher so high

by Anonyomus_9124796 September 16, 2022

One up

To exceed someones expectations

To add something extra to make something better than the usual

I'm going to one up everyone on this assignment!

by Dansysk October 10, 2014

Warm Ones

Lighting up a joint smoking weed

Yo lets go light some warm ones!!!

by -Daniel September 5, 2017

The creepy one

The ugly one in the corner of the room staring at you, or walking behind you... , you at you though the window when you dont know. Nothing like the shy one

No-one likes y.. i mean the creepy one

"The creepy ones staring at you"
"Dont look they'll come over"

by The lord of all lamas January 19, 2020