what is after infinity??
if first FINITE, then INFINITE, then what? like no matter how many infinities you put together, you will never reach ININFINITE?
i asked my calculus professor this and he told me there are different sizes of infinities. Then I asked like WHAT is to INFINITE that INFINITE is to FINITE? and he was like maybe you should define a new mathematical concept then
Should I do it? do I get nobel prize?
it's already invented sorry man
you can search "aleph null" on google to read more about it :-)))
>>8947902
no way man
fuck
sometimes I feel like I was born in the wrong century
all the good inventions are gone
>>8947897
Infinite is not a specific amount in the same way 10 and 40000086585 are.
Aleph_Aleph_G
Where G is Graham's Number
>>8947911
then what is it? a scale of countability or something for bijections between infinite sets? how do you quantify countability?
watch this and learn https://www.youtube.com/watch?v=ce_4UsdatQE
>>8948050
The "largest infinity" would be Hilbert Space, correct?
>>8947916
How am I supposed to know, I'm a NEET
>>8948050
"nothing is to infinite as infinite is to finite"
get into set theory bruh
>>8947917
the God Emperor already walks among us
>>8947897
It's not that simple, but an example would be the difference between real numbers and natural numbers. There is an infinite number of natural numbers, but between each natural number there is an infinite number of real numbers as well, so [math]\mathbb{N}\subset\mathbb{R}[/math]. Similarly, you have [math]\mathbb{R}\subset\mathbb{C}[/math] and so on - thus you can see that different infinite sets can be strict subsets of another infinite subset. However, they are all still infinite, and, in the way you phrased it, there is nothing "beyond infinity".
>>8947902
aleph is a size of a set, infinity is the limit of real numbers
>>8948414
But isn't it also the size of the set of natural numbers?