Omega and One Mug
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)
The Urban Dictionary Mug
Customer Reviews
I love this mug , it is the best present I have ever received, it reminds me of what I was snd where I am today. I am praying for my own downfall
Love it! No issues at any part in the process
A gift for my sis who got betrayed by her supposed to be friend. His loss for ever RIH stan
Speedy shipping and as always love the mug especially since I created the word!
My brother is a marathon runner, but he’s British. Instead of drinking water from a bottle like a sane person, he uses this to drink his black tea during runs. Now I can die in peace knowing he’s drinking from a mug with the definition of the word “objectumsexual” for some reason.
Bought this without checking the back for my 12 year old cousin's birthday who adores trains! He's a lil autistic. I thought to 'run a train' meant to work on it and keep it running, much like my cousin is always talking about how he wants to drive a train. I was distraught to hear him turn over the mug on his bday in front of his two very strict puritan parents. My auntie and uncle are threatening to put me on a list now and threatening to sue me for defamation or some shit idk i didnt go to law school cus im not a nerd lols. (unlike them who both went to university) i got a kick ass job as a bouncer for an under 18s club - youd be surprised how big 12 year olds get- but they are just stupid. im worried i might get fired if this leaks.) Thanks a bunch! (sarcasn) - im feeling p down atm, if anyone could cheer me up, my number is 0800 1111, if anyone wants to do whats on the mug LOL (serious). btw, i kept the mug for myself since i found it decently adequate and quite tasteful. /srs
Thanks guys, I knew I was hot but not *that* hot
Great way to wake up and clear your head every morning with the reminder of the day you woke up dumb enough to spend $32.95 for a basic coffee mug
Couldn't wait until the mug got home. Immediately after i bought it i wet myself. I couldn't help it. I got so bored of waiting i ordered 5 more mugs. And then another 5. And then ANOTHER 5. And now i have fucking 60 mugs that say schizophrenia on them. I only intended on gifting this mug to my schizophrenic younger sibling as a last gift before i inevitably must suffocate him with his own pillow. Now with all these mugs and have decided to put one mug on the old couple across the street's doorstep each day until eventually they are convinced that they are schizophrenic and see things that aren't there. Next i will get them to be taken to a mental institute where they will be locked up to live in an all-white facility for the rest of their lives. My hope is that i can do this to all of the neighbors on my street so i can finally get enough space so that i can run my hamster experiments in peace without my neighbors always wonder what the small hamster screams coming from my basement are. Anyways nice mug 8/10.
I dont remember writing "I have dementia" in this cup ? a bit strange... nice cup tho.
I dont even own the mug. I just wanted to write a review about how epic it is>>> fuck you
my kids loved it. delicious and a great snack. would buy again.
it was great 💀
Gave it to my girl, she loved it.
Best mug I have ever had
love shoving it up my ass on a daily!!!!!
WOW THIS MUG MATCHES MY NAME I'M DEFINITELY GETTING THIS FOR MY BIRTHDAY
WOW I LOVE THIS SO MUCH IT EVEN MATCHES MY NAME! I'm definitely getting this mug for my birthday!
I got morb’d
This jar is amazing for vomiting in! i definitely recommend if you have ugly kids!