Real numbers themselves can only exist as the limit of an infinite Cauchy series

As I was saying those two aren’t different

You’re intellectually masturbating right now

You don’t think integers and real numbers have different cardinality?

🐦

They’re the same set of aleph

No

To be a higher order you’d need an infinite set of infinities

Yes

This is a classic problem

So classic even I’ve heard of it 😂

https://en.m.wikipedia.org/wiki/Cantor%27s_diagonal_argument

That doesn’t even link, but it doesn’t matter because they’re not even infinitely filled in with people

So it’s non analogous

How does the preview work if it doesn’t link lmao

Click it

https://blogs.scientificamerican.com/roots-of-unity/the-fault-in-our-stars-faulty-math/

In set theory, Cantor's diagonal argument, also called the diagonalisation argument, the diagonal slash argument or the diagonal method, was published in 1891 by Georg Cantor as a mathematical proof that there are infinite sets which cannot be put into one-to-one correspondence with the infinite set of natural numbers.[1][2]:20–[3] Such sets are now known as uncountable sets, and the size of infinite sets is now treated by the theory of cardinal numbers which Cantor began.

Read the article I just linked

The point is you can show there is not a 1 to 1 mapping between natural numbers and real numbers

They’re the same set

You don’t fully grasp the infinite set I think

Also google the infinite hotel rooms video

Dis you read the article?

Yeh

He says it’s wrong that 0-1 has different numbers than 0-2

Essentially, the way to tell whether two sets are the same size is to see whether you can pair up elements so you use all the elements in each set exactly once. Georg Cantor, whom Green references earlier in the book, proved that there are indeed different sizes of infinity. But the infinities between 0 and 1 and 0 and 2 are not different sizes. Each number between 0 and 1 can be doubled to get a number between 0 and 2, and each number between 0 and 2 can be halved to get a number between 0 and 1.

The two rails are the same dude

But he acknowledges that cantor proved there are different levels of infinity

I never said there weren’t lmfao

Jesus Christ

I in fact explicitly said there were

Those two

Are not

Have sex

Different

That does not mean that all infinities are equal

The two rails are functionally mathematically equivalent