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

Walking On One's Lips

To be shit-faced drunk to the point of faceplanting the floor, and possibly having to use their lips to move across the room since they're too wasted to get up.

"You should've seen David the other night. He had so many drinks, the poor bastard was walking on his lips."

"Too much alcohol results in Walking On One's Lips"

by castlefreak2009 January 2, 2023

My GirlFriend the best one

She is just a girlfriend I could never not have, if I didn't have her my life can only be described as shit. She will never not be able to make you happy, she is caring, intelligent and really fucking hot. If your ever lucky enough to have her you need to treat her like a goddess.

My GirlFriend the best one is mine

by Grodder January 13, 2023

proper long one

Something long enough to get the job done

Oh man talk about a proper long one

by Luke-69 June 19, 2023

go suck a hairy one

Referring to giving oral to a hairy penis, typically said as an insult or said after an embarrassing joke.

Jeff: "You pull no girls, Jason."
Jason: "Go suck a hairy one.

by 9Daggers July 26, 2023

my mother told me one day i will buy

viking song or when you forgor what your mother told you you will buy

P1: hey man, who told you youll buy?
P2: my mother told me one day i will buy

by baysil September 15, 2023

You’re The One That I Want

I got chills, they're multiplying
And I'm losing control
'Cause the power you're supplying
It's electrifying!
You better shape up (do-do-do)
'Cause I need a man (do-do-do)
And my heart is set on you (and my heart is set on you)
You better shape up (do-do-do)
You better understand (do-do-do)
To my heart I must be true
Nothin' left, nothin' left for me to do (ooh)
You're the one that I want (you are the one I want)
Ooh, ooh, ooh, honey
The one that I want (you are the one I want)
Ooh, ooh, ooh, honey

You’re The One That I Want (you are the one I want)
Ooh, ooh, ooh
The one I need (the one I need)
Oh, yes, indeed (yes, indeed)
If you're filled with affection
You're too shy to convey
Meditate in my direction
Feel your way
I better shape up
'Cause you need a man, I need a man
Who can keep me satisfied
I better shape up (do-do-do)
If I'm gonna prove, you better prove
That my faith is justified, are you sure?
Yes, I'm sure down deep inside
You're the one that I want (you are the one I want)
Ooh, ooh, ooh, honey
The one that I want (you are the one I want)
Ooh, ooh, ooh, honey
The one that I want (you are the one I want)
Ooh, ooh, ooh
The one I need (the one I need)
Oh, yes, indeed (oh, yes, indeed)
You're the one that I want (you are the one I want)
Ooh, ooh, ooh, honey
The one that I want (you are the one I want)
Ooh, ooh, ooh, honey
The one that I want (you are the one I want)
Ooh, ooh, ooh
The one I need (the one I need)
Oh, yes, indeed (yes, indeed), ooh-ooh!
You're the one that I want (you are the one I want)
Ooh, ooh, ooh, honey
The one that I want (you are the one I want)
Ooh, ooh, ooh, honey
The one that I want (you are the one I want)
Ooh, ooh, ooh
The one I need (the one I need)
Oh, yes, indeed (oh, yes, indeed)
You're the one that I want (you are the one I want)
Ooh, ooh, ooh...

by Gothic Miscreant October 6, 2023