this post was submitted on 23 Oct 2024
131 points (98.5% liked)

Asklemmy

43956 readers
785 users here now

A loosely moderated place to ask open-ended questions

Search asklemmy ๐Ÿ”

If your post meets the following criteria, it's welcome here!

  1. Open-ended question
  2. Not offensive: at this point, we do not have the bandwidth to moderate overtly political discussions. Assume best intent and be excellent to each other.
  3. Not regarding using or support for Lemmy: context, see the list of support communities and tools for finding communities below
  4. Not ad nauseam inducing: please make sure it is a question that would be new to most members
  5. An actual topic of discussion

Looking for support?

Looking for a community?

~Icon~ ~by~ ~@Double_A@discuss.tchncs.de~

founded 5 years ago
MODERATORS
you are viewing a single comment's thread
view the rest of the comments
[โ€“] CanadaPlus@lemmy.sdf.org 3 points 1 month ago* (last edited 1 month ago)

Basically, if two quantities are the same, you can pair them off. It's possible to prove you cannot pair off all real numbers with all integers. (It works for integers and all rational numbers, though)

How many infinities you accept as meaningful is a matter of preference, really. You don't even have to accept basic infinity or normal really big numbers as real, if you don't want to. Accepting "all of them" tends to lead to contradictions; not accepting, like, 3 is just weird and obtuse.