this post was submitted on 03 Jan 2024
120 points (76.5% liked)

Showerthoughts

29793 readers
967 users here now

A "Showerthought" is a simple term used to describe the thoughts that pop into your head while you're doing everyday things like taking a shower, driving, or just daydreaming. A showerthought should offer a unique perspective on an ordinary part of life.

Rules

  1. All posts must be showerthoughts
  2. The entire showerthought must be in the title
  3. Avoid politics
    • 3.1) NEW RULE as of 5 Nov 2024, trying it out
    • 3.2) Political posts often end up being circle jerks (not offering unique perspective) or enflaming (too much work for mods).
    • 3.3) Try c/politicaldiscussion, volunteer as a mod here, or start your own community.
  4. Posts must be original/unique
  5. Adhere to Lemmy's Code of Conduct

founded 1 year ago
MODERATORS
you are viewing a single comment's thread
view the rest of the comments
[–] gregorum@lemm.ee 2 points 10 months ago* (last edited 10 months ago) (1 children)

That’s the whole point of OPs example; infinity can still be bound by limits.

such as there being no constants? can that not be a limit?

[–] usualsuspect191@lemmy.ca 3 points 10 months ago

We can't really know what's possible I suppose, it's more that there's sort of different "levels" of infinity where one level can contain another within itself, but both are still infinite just the same. When people imagine infinity they picture everything, but it doesn't need to be.

Hilbert's hotel is a good example that illustrates how infinities are weird.