by Leons poopyhead August 19, 2021
by fredj14 October 19, 2023
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)
by SauceQuest31 December 29, 2022
To describe an absolute beast, that you pull on a challenge night, that you would only have a relationship with via facebook.
by Crazy_Horse January 13, 2009
Someone who gets with a girl out of their league once. Now they think they can get with any girl they see. It tends to break confidence when they have a One Shot. Soon they start getting rejected by every girl they ask.
by Cashhomie42 June 17, 2018
Snap one it’s fucking Friday’s.
by Moneyminey October 04, 2019
by DJ Paul. June 21, 2008