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)
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Located in Las Vegas! Come and see all of the wonderful products! Like our tattoo chicken or lemons! Just make sure they aren’t Omega Mart lemons, only regular ones!
(Hours of lore included. Check out the other Meow Wolf locations too!)
Oh oh oh! Omega Mart! You have no idea what’s in store for yooouuuu!
Located in Las Vegas! Come and see all of the wonderful products! Like our tattoo chicken or lemons! Just make sure they aren’t Omega Mart lemons, only regular ones!
(Hours of lore included. Check out the other Meow Wolf locations too!)
Oh oh oh! Omega Mart! You have no idea what’s in store for yooouuuu!
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Get the Omega Virgin mug.a Roblox SCPF game originally owned by s_w1ft. The game works like u can be a Class-D prisoner and riot or breach SCPs (monsters) or you can join the fatherless brigade (SCPF) and stop the thugs. Recently, swift was a bitch and got exposed for cybercrimes and got removed from his own group (lol?). now a femboy nigga owns the shithole and gawd damn he wants money.
"wanna hop on area-omega bro? i think i can kill some legos rn" -V14Rw
"nah not when xxx_kobe is a class-d. i dont want to get my ass on one of his clips" -boung991
"nah not when xxx_kobe is a class-d. i dont want to get my ass on one of his clips" -boung991
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