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[-] hendrik@palaver.p3x.de 1 points 2 weeks ago

And that's why nothing in nature is infinite. Except human stupidity if you want to believe Einstein.

[-] Karyoplasma@discuss.tchncs.de 1 points 2 weeks ago

Oh, I believe him. Self-evident.

[-] kitnaht@lemmy.world 0 points 2 weeks ago

But there are infinities which are larger and smaller than other infinities.

-infinity is smaller than +infinity for the most simple example.

[-] kabi@lemm.ee 0 points 2 weeks ago* (last edited 2 weeks ago)

Sure, "-∞ < ∞" is a useful concept, but it is not the same thing as when we talk about the sizes of infinities. What we mean by that is how many numbers it contains: (1,2,3,4...) contains fewer numbers than (1.0,...,1.1,...,1.5,...,2.0,...,2.5,...), but how large the actual numbers are, doesn't matter. The second example contains just as many numbers, is just as "large", as (1.0,...,2.0).

edit: Sorry for the snarky tone, I was going for nerd maths boy. Hope I at least am technically correct.

[-] kitnaht@lemmy.world -1 points 2 weeks ago

Yeah, I was going for simple rather than correct. I didn't want to get into explaining Cantor's Diagonalization to Lemmy folk.

[-] ch00f@lemmy.world -1 points 2 weeks ago

That’s why my coffee shop hands out Gabriel’s Horn shaped cups. Bottomless, but finite volume. What a scam.

this post was submitted on 10 Jan 2025
4 points (83.3% liked)

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