this post was submitted on 11 Dec 2023
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Science Memes

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[–] Mr_Fish@lemmy.world 89 points 11 months ago (4 children)

Where is i? Is it safe? Is it alright?

[–] kpw@kbin.social 19 points 11 months ago

Please stop talking about your imaginary girlfriend, it's embarrassing honestly.

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[–] ivanafterall@kbin.social 77 points 11 months ago (1 children)

Nope, you fell for the classic sibling blunder:

What about INFINITY PLUS ONE!?

[–] Yondoza@sh.itjust.works 28 points 11 months ago* (last edited 11 months ago) (4 children)

It's Infinity! Infinity -1? also infinity! Well what about infinity times infinity? Believe it or not, infinity! ♾️

[–] rockerface@lemm.ee 16 points 11 months ago (1 children)

Infinity gangsta when aleph null walks in

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[–] ApexHunter@lemmy.ml 7 points 11 months ago (2 children)

What about infinity times zero?

[–] rockerface@lemm.ee 11 points 11 months ago

For that one we're going to call my good friend L'Hôpital. That guy rules!

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[–] CarbonIceDragon@pawb.social 72 points 11 months ago (5 children)

Last time I saw this kind of challenge it was on reddit and I just replied with ℝ, but people brought up that this leaves out complex numbers. I'll now contend, however, that any number not included in that isn't real.

[–] morrowind@lemmy.ml 31 points 11 months ago (4 children)
[–] eestileib@sh.itjust.works 16 points 11 months ago

Quaternions hello?

[–] hernanca@beehaw.org 6 points 11 months ago (1 children)

What about quaternions and octonions and ...

[–] yetAnotherUser@feddit.de 5 points 11 months ago

{x | x is a number}

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[–] BigDanishGuy@sh.itjust.works 6 points 11 months ago

Just like birds, complex numbers aren't real!

Screw you sqrt(-1), you aren't even a real number, you poser!

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[–] 768@sh.itjust.works 27 points 11 months ago (2 children)
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[–] veniasilente@lemm.ee 24 points 11 months ago (7 children)

Aren't there numbers past (plus/minus) infinity? Last I hear there's some omega stuff (for denoting numbers "past infinity") and it's not even the usual alpha-beta-omega flavour.

Come to think of it, is there even a notation for "the last possible number" in math? aka something that you just can't tack "+1" at the end of to make a new number?

[–] drbluefall@toast.ooo 26 points 11 months ago (1 children)

What you're probably thinking of is Ordinal numbers.

As for your second question, I don't think any "last number" could exist unless we explicitly declared one. And even then... I'm not sure what utility there would be in declaring a "last number".

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[–] humanplayer2@lemmy.ml 22 points 11 months ago* (last edited 11 months ago) (4 children)

Which of the infinities? There are many, many :D

The smallest infinity is the size of the natural numbers. That infinty, Aleph zero, is smaller than the infinity of the real numbers, Aleph one. "etc."

See https://en.m.wikipedia.org/wiki/Cardinal_number

[–] veniasilente@lemm.ee 6 points 11 months ago (1 children)

Which of the infinities? There are many, many :D

Oh no! Please don't tell me there are infinity infinities!

[–] weker01@feddit.de 6 points 11 months ago (1 children)

Unfortunately yes there are and it's a very big infinity of infinties....

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[–] DoomBot5@lemmy.world 5 points 11 months ago (1 children)

Wait, they ran out of greek letters and started using Hebrew ones now? When did that happen?

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[–] kerrigan778@lemmy.world 6 points 11 months ago* (last edited 11 months ago) (3 children)

There is nothing "past" infinity, infinity is more a concept than a number, there are however many different kinds of infinity. And for the record, infinity + 1 = infinity, those are completely equal. Infinity + infinity = infinity x 2 = still the same kind of infinity. Infinity times infinity is debatably a different kind of infinity but there are fairly simple ways of showing it can be counted the same.

Essentially the number of numbers between 1 and 2 is the same as the number of numbers between 0 and infinity. They are still infinite.

[–] Leate_Wonceslace@lemmy.dbzer0.com 5 points 11 months ago* (last edited 11 months ago)

Hi, I'm a mathematician. My specialty is Algebra, and my research includes work with transfinites. While it's commonly said that infinity "isn't a number" I tend to disagree with this, since it often limits how people think about it. Furthermore, I always find it odd when people offer up alternatives to what infinity is; are numbers never concepts?

Regardless, here's the thing you're actually concretely wrong about: there are provably things bigger than infinity, and they are all bigger infinities. Furthermore, there are multiple kinds of transfinite algebra. Cardinal algebra behaves mostly like how you described, except every transfinite cardinal has a successor (e.g. There are countably many natural numbers and uncountably many complex numbers). Ordinal algebra, on the other hand, works very differently: if ω is the ordinal that corresponds to countable infinity, then ω+1>ω.

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[–] KmlSlmk64@lemmy.world 4 points 11 months ago (3 children)

IIRC Depends if you talk about cardinal or ordinal numbers. What I remember: In cardinal numbers (the normal numbers we think of, which denote quantity, etc.) have their maximum in infinity. But in ordinal numbers (which denote order - first, second, etc.) Can go past infinity - the first after infinity is omega. Then omega +1. And then some bigger stuff, which I don't remember much, like aleph 0 and more.

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[–] CJOtheReal@ani.social 21 points 11 months ago (2 children)
[–] Godort@lemm.ee 37 points 11 months ago (1 children)

i isn't a real number, you imagined it

[–] BolexForSoup@kbin.social 24 points 11 months ago (1 children)

From gatekeeping to gaslighting in 2 comments. Not bad!

[–] Uncle_Bagel@midwest.social 6 points 11 months ago

What a girlboss

[–] callyral@pawb.social 5 points 11 months ago

not a real number

[–] hansl@lemmy.world 17 points 11 months ago (3 children)

Oh you like math? Name all the sets of sets that don’t include themselves.

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[–] Stupidmanager@lemmy.world 15 points 11 months ago (2 children)
[–] morrowind@lemmy.ml 20 points 11 months ago* (last edited 11 months ago) (6 children)

[0-9]*\.?[0-9]*

edit: ok no empty strings [0-9]+\.?[0-9]*

[–] amoistgrandpa@lemm.ee 8 points 11 months ago (1 children)

That regex implies “” is a number

[–] dalekcaan@lemm.ee 21 points 11 months ago

If I had a nickel for every time that happened I'd have "" nickels.

[–] dsemy@lemm.ee 5 points 11 months ago (4 children)

I didn't realize '.' is a number.

\([0-9]+\.[0-9]\)?[0-9]* is more accurate I think.

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[–] Bizarroland@kbin.social 10 points 11 months ago

You also have to remember to put the +C at the end

[–] edinbruh@feddit.it 9 points 11 months ago (1 children)
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[–] Zerush@lemmy.ml 8 points 11 months ago
[–] callyral@pawb.social 7 points 11 months ago
[–] waigl@lemmy.world 6 points 11 months ago (4 children)
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[–] Leate_Wonceslace@lemmy.dbzer0.com 5 points 11 months ago

Fred.

(∀x:Number(x)=T)(Name(x)="Fred")

I name every number Fred.

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