this post was submitted on 20 Nov 2025
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Mildly Infuriating

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Home to all things "Mildly Infuriating" Not infuriating, not enraging. Mildly Infuriating. All posts should reflect that. Please post actually infuriating posts to !actually_infuriating@lemmy.world

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[–] BedbugCutlefish@lemmy.world 67 points 16 hours ago* (last edited 16 hours ago) (19 children)

Nah, that's silly. Asia obviously has the longest coastline.

Sure, based on that paradox, the specific measurement of a given coastline will differ. But if you pick a standard (i.e., 1km straight lines), Asia is easily the longest. Doesn't matter what standard you pick.

The only way the paradox matter here is of you pick different standards for different coastlines. Which, os obviously wrong.

[–] SmoothOperator@lemmy.world 5 points 11 hours ago (10 children)

Isn't it a bit like saying "there's obviously more real numbers between 0 and 2 than between 0 and 1"? Which, to my knowledge, is a false statement.

[–] clay_pidgin@sh.itjust.works 4 points 11 hours ago (7 children)

If between 0 and 1 are an infinite number of real numbers, then between 0 and 2 are twice infinite real numbers, IIRC my college math. I probably don't.

[–] village604@adultswim.fan 4 points 10 hours ago (1 children)
[–] BananaIsABerry@lemmy.zip 1 points 3 hours ago (1 children)

Discrete math typically teaches that some infinities are greater than others.

[–] Tudsamfa@lemmy.world 2 points 3 hours ago (1 children)

Yes, but those are both the same infinite according to math, so no, they're still equal.

[–] CookieOfFortune@lemmy.world 1 points 2 hours ago (1 children)

? But they’re not the same infinity according to math.

[–] Tudsamfa@lemmy.world 2 points 2 hours ago (1 children)

They are literally both ℵ~1~ though?

[–] CookieOfFortune@lemmy.world 1 points 59 minutes ago (1 children)

Aren’t the number of real numbers and the number of integers also infinite? But they aren’t considered equal. The infinite for real numbers is considered larger.

[–] Tudsamfa@lemmy.world 2 points 43 minutes ago

Yes, the number of Intergers is ℵ~0~, the number of real numbers ℵ~1~, and this is what people generally mean with some infinities are bigger than others. Infinities can also be seem bigger than another, but be mathematically equal. The number of natural, real and rational numbers are all infinite, and might seem different, but they are all proven ℵ~0~.

Claypidgin was talking about the real numbers between [0,1] and [0,2], which are both ℵ~1~ infinite. Some infinities are indeed bigger than others, but those 2 are still the same infinity.

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