this post was submitted on 06 Jan 2024
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I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!

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[–] [email protected] 11 points 10 months ago (1 children)
[–] [email protected] -5 points 10 months ago (3 children)

That's not a true statement. 2∞ < ∞ and ∞ < 2∞ is how you'd write it.

Otherwise you could subtract infinity from both sides and get 0 = ∞.

[–] [email protected] 3 points 10 months ago

Except subtraction is not applicable in this case

[–] [email protected] 1 points 10 months ago

even if that's not how you can write it, one gets the same issue in yours subtracting infinity from both sides

[–] [email protected] 1 points 10 months ago

Not true. 2∞ is not bigger or smaller than ∞. This is explained by Hilbert's hotel. And subtracting infinity from infinity is undefined so you do not get 0 = ∞.