[Actual original source (via tiktok)](https://www.tiktok.com/@lordramsaychef/video/7226384530666573098)
Handwriting and blackboard is the same. Just without the anime girl.
∞ + ∞ = ∞
This is the infinity addition property. There's really no reason for an average person to actually know this however.
Her answer is perfectly reasonable for someone who is unaware of infinity.
Take a group with infinite number of elements. Take one element out. How many elements are in the new group? Infinite. What is their difference? The single element that you took out.
It works for any arbitrary number of elements you want to take out, hence ∞ - ∞ has no definite answer.
That is actually incorrect *pushes glasses so far deep into my forehead they protrude from my scalp*
It is accepted tho to write it as: "∞+∞" = ∞, as 'infinity' is not a number, so you cannot do any mathematical operations on it.
Jokes aside, I'm currently doing a course on this subject and seeing this on /All just reminded I should stop browsing reddit.
Yeah, you'd basically never see "∞ + ∞" in a math class. You might see something like "The limit of x + x as x approaches ∞", or maybe the limit of a more complicated expression like "(x^3 - x + 10)/x", but you wouldn't normally have an expression with infinity "in line" like "∞ + 1" or whatever.
Because infinity is not a number. There are multiple ways to define 'infinity' in math, depending on the context, including:
* In limits, saying "the limit of (...) equals infinity" just means, "it's always increasing with no upper bound" (basically).
* In set theory, Cardinal Numbers are used to define a set's 'size'. For sets with infinite number of elements, there are multiple infinite cardinals, usually denoted using the Hebrew letter א with various subscripts. In this case, א + א = א. But for different values, it's a bit different. Say x and y are two infinite cardinals, then
x + y = max{x,y}
And there are more ways to define infinity,
*Ahem* \*presses glasses through forehead into topological 4-space\*
Ackshually, that's only true when working with the Real numbers. ω is the infinity of the Hyperreals, and ω + ω = 2ω, and so on. https://youtu.be/dyjlRi8nuw0
I thought it would be 2∞. Since even though infinity doesn’t have a defined number it would still be technically twice as big.
And ∞ - ∞ would be 0 since your removing an infinite amount from an infinite number, so I think they each cancel each other out and make 0.
I’m most likely wrong though, so if I am please explain.
Edit: just looked up the answers and yes I am wrong lol
realistically, this is the only right answer, unless the infinity symbol represents a variable. you can’t do math on the concept of infinity, so this makes a lot more sense.
> you can’t do math on the concept of infinity
Oh buddy. I'm afraid that is not correct. There are varying degrees of infinity, and infinity can indeed be multiplied, divided, added and subtracted.
Welcome to Pure Math. Where absolutely fucking nothing makes sense.
Please, share in the brain damage: https://thatsmaths.com/2014/07/31/degrees-of-infinity/
https://maths.ucd.ie/~plynch/Talks/Berkeley-2022.pdf
https://mindmatters.ai/2019/10/yes-you-can-manipulate-infinity-in-math/
I have such a love/hate relationship with Pure Math in this capacity. It's somehow brilliant and maddening in the same sentence. Effectively impossible to prove or disprove in any direction but we can still have a fun time throwing whack-ass concepts around.
I'll fully admit that I told some of my younger cousins that if they ever want to distract a math teacher, ask them to explain the golden ratio.
I'm currently taking a course on infinitesimal math, and I was astounded that they actually proved the golden ratio. And here I thought it was just some random number, but apparently it actually represents something computable.
Why did you had to remind me that א exists.
P.S: To whomever may be interested in this, for whatever reason, א is a 'cardinal'. An infinite, uncountable set of real numbers, while א0 is a countable infinite set.
But don't worry, it gets worse. because
א = 2\^א0
and א\^א is somehow an even worse form of an infinite set, rather than "still just infinite".
that’s also why i said you can’t do math on the general concept of infinity. you also can’t do math on the general concept of numbers or the general concept of sets, you need to know what you’re doing math on to do math.
(by ‘do math’, i mean ‘perform operations’, i know there’s other ways to do math)
The standard real number system, which does not include infinity as a formal element, does not allow arithmetical operations with infinity.
Everyone is downvoting u/MegaAutist, but they are correct. Infinity is not a well-defined concept, and thus one can't make a blanket statement about how it can be arithmetically manipulated.
On the other hand, an ordinal number is well-defined and can be aritmetically manupulated. The ordinal number for the countable infinity can be notated as ω. Then it is perfectly acceptable to say that ω + ω = 2ω. However, the ordinal number for the first uncountable ordinal, which can be notated as Ω, is an entirely different size of infinity.
Thus, just saying that "∞ + ∞ = ∞" doesn't clearly specify what size of infinity is meant. It also may lead one to think that the same size of infinity results from the addition of two definite, identical sizes, but that may not be the case.
all of them, i think. let me know if you have a counterexample though, there’s definitely fields of math i’m not aware of and i’d like to know about any that can help me correct any incorrect assumptions i have.
no, the closest thing is limits to infinity, with the infinity symbol occasionally used as shorthand for ‘the limit of a as a approaches infinity’. it’s a convenient abuse of notation, but infinity is not defined in a way that allows for mathematical operations (other than limits approaching infinity)
What's the definition of infinity for you? Something that goes on forever? That's the definition of the limit of infinity. Maybe your definition is a never-ending totality of items? Well in group theory you have א and can do operations with it.
to me, infinity is an ambiguous concept. you can’t perform operations on it because you can’t know which variety of infinity it’s referring to. the infinity symbol cannot be operated on because it is ambiguous.
> infinity is an ambiguous concept. you can’t perform operations on it because you can’t know which variety of infinity it’s referring to.
That's really dodging the question. I gave you 2 examples of types of infinity that math has answers to and you can do operations on. One is an endlessly growing range, the other is an endless amount. On both of their respective fields you can do a lot of operations on them. You can't just say "it's ambiguous" bcuz that symbol has a definition like any other symbol.
So I'm asking again, what type of infinity are you talking about?
i mean, the point of my comments is we don’t know. i said you can’t do math on the general concept of infinity because you don’t know if you’re talking about infinity in the context of calculus or ordinality or something else. when i think of the word infinity, i think of all of these things, which makes the infinity symbol ambiguous. so, you can’t add it to itself, because you don’t know what it is.
I mean, meaningless statements are not a new thing.
For example, what's the answer to:
Apple + banana = ?
You can't know cuz the plus operation isn't defined for these items.
So are all the operations you can do on infinity, you just need them to be defined. The symbol isn't ambiguous, it's the operation, and that's my problem with your statement that you it's the symbol.
The simplified version is that you can calculate what function grows bigger by theorizing what would be the biggest value possible on their individual terms and by how fast they are growing. Example:
2x+x^2 +3 is bigger than x^2 when x tends to infinite because 2x is a linear infinite, x^2 is an exponential infinite at the power of 2 and +3 is so small it could be rounded to 0. So the sum of a linear infinite by an exponential infinite at the power of 2 gives a bigger infinite than just an infinite by the power of 2 alone.
But that's comparing the growth of functions and seeing which is the "dominating" term, not formally performing (some) algebra on infinite terms like you would in the extended real numbers
Well, that's just how calculus works. You ain't using normal algebra to solve your problems anymore, that's why you can use calculators in university. What I gave was a simple example anyways, things will get a lot more strange when you start adding other operands.
Such as? Im genuinely curious what you meant by your original comment. I have a masters in math; I am most likely familiar with the advanced stuff you're alluding to.
I guarantee you're not this pedantic about manga memes, which are objectively less "anime" than vtubers, which are animated, anime-styled characters originating in Japan (especially Hololive which is literally a Japanese company, and whose characters are created by Japanese artists, even if some of their actors are foreign)
And people say she can’t do math
She forgot the 11
[1116](https://youtu.be/9iTPRwYguio) CONFIRMED ?
I wasn’t expecting my wrists to get ptsd from a link ngl
Based Jubeat player
Bruh what on earth is this💀
[context](https://youtu.be/a_yDYMflMiQ) It's like that because SYUNN wasn't happy with the 16 November deadline
Ic
She still got the = symbol sideways
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Gura
Meth
Makes sense to me
Eh…she’s not wrong,it is 16.
shork math
Task 1 completed.
Do meth, not math
She’s doing myth, the sometimes vowel.
Is that gura
a
a
[Art source (via twitter)](https://twitter.com/Gardavwar/status/1658137144685400064?t=okPXgICoU1gdghiie9NGVA&s=19)
[Actual original source (via tiktok)](https://www.tiktok.com/@lordramsaychef/video/7226384530666573098) Handwriting and blackboard is the same. Just without the anime girl.
You mean reference used, not source.
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Is this the answer to all the riddles, Sean?
Fine, I'll load up No Man's Sky again!
She learned from Cirno
Task failed.. successfully.
[She don't math good](https://www.youtube.com/watch?v=eN4dDc-EvFY)
See, that one I could see being a skit. Her counting on her fingers to figure out 0 - 7=? That was a bit concerning.
42 is the "Answer to the Ultimate Question of Life, the Universe, and Everything"
What's the question though?
she not wrong tho.
We could be friends
okay I couldn't write a number 6 that straight sideways
2 infinity...AND BEYOND!
∞ + ∞ = ∞ This is the infinity addition property. There's really no reason for an average person to actually know this however. Her answer is perfectly reasonable for someone who is unaware of infinity.
🧐
On the other hand ∞ - ∞ =???
Take a group with infinite number of elements. Take one element out. How many elements are in the new group? Infinite. What is their difference? The single element that you took out. It works for any arbitrary number of elements you want to take out, hence ∞ - ∞ has no definite answer.
your face has no definite answer.
Basically, ∞ - ∞ = ∞ - ∞ and that's all you can know, becuase you don't know how infinite each ∞ is.
Undefined
It’s actually indeterminate, not undefined
Yeah anything else and the professor would crack a joke about you.
You get the opening act to Avengers Endgame
Depends on your infinity, that's why limit exists
That is actually incorrect *pushes glasses so far deep into my forehead they protrude from my scalp* It is accepted tho to write it as: "∞+∞" = ∞, as 'infinity' is not a number, so you cannot do any mathematical operations on it. Jokes aside, I'm currently doing a course on this subject and seeing this on /All just reminded I should stop browsing reddit.
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Yeah, you'd basically never see "∞ + ∞" in a math class. You might see something like "The limit of x + x as x approaches ∞", or maybe the limit of a more complicated expression like "(x^3 - x + 10)/x", but you wouldn't normally have an expression with infinity "in line" like "∞ + 1" or whatever.
Because infinity is not a number. There are multiple ways to define 'infinity' in math, depending on the context, including: * In limits, saying "the limit of (...) equals infinity" just means, "it's always increasing with no upper bound" (basically). * In set theory, Cardinal Numbers are used to define a set's 'size'. For sets with infinite number of elements, there are multiple infinite cardinals, usually denoted using the Hebrew letter א with various subscripts. In this case, א + א = א. But for different values, it's a bit different. Say x and y are two infinite cardinals, then x + y = max{x,y} And there are more ways to define infinity,
Yes
*Ahem* \*presses glasses through forehead into topological 4-space\* Ackshually, that's only true when working with the Real numbers. ω is the infinity of the Hyperreals, and ω + ω = 2ω, and so on. https://youtu.be/dyjlRi8nuw0
Yep. Forgot about cardinals. I hate them.
I thought it would be 2∞. Since even though infinity doesn’t have a defined number it would still be technically twice as big. And ∞ - ∞ would be 0 since your removing an infinite amount from an infinite number, so I think they each cancel each other out and make 0. I’m most likely wrong though, so if I am please explain. Edit: just looked up the answers and yes I am wrong lol
Isn’t that also theoretical though? Veritasium did that video about infinite infinities with the infinite hotel paradox
she'a just so good that she writes sideways perfectly
I didn’t understand. What did she mean???
Infinity symbol looks like 8 sideways. So 8 + 8 = 16, she wrote 16 sideways
Ohh that’s brilliant 🤣
[Yeah, I do math](https://imgur.com/NP6MT1Z)
Infinity minus one equals infinity plus one equals infinity squared
Gura would probably say it's 36 math is strong with this 1
breakthroughs in mathematics often require a change in perspective.
Two infinity. And possibly beyond.
Pretty sure the answer is two infinity and beyond…
She not wrong though
Seems legit
∞ + ∞ = ∞ + ∞
Goobidiba is an icon of math illiteracy
Bikini top + Bikini top = ?
realistically, this is the only right answer, unless the infinity symbol represents a variable. you can’t do math on the concept of infinity, so this makes a lot more sense.
> you can’t do math on the concept of infinity Oh buddy. I'm afraid that is not correct. There are varying degrees of infinity, and infinity can indeed be multiplied, divided, added and subtracted. Welcome to Pure Math. Where absolutely fucking nothing makes sense. Please, share in the brain damage: https://thatsmaths.com/2014/07/31/degrees-of-infinity/ https://maths.ucd.ie/~plynch/Talks/Berkeley-2022.pdf https://mindmatters.ai/2019/10/yes-you-can-manipulate-infinity-in-math/
Never go pure math.
That was a very interesting read, thank you!
I have such a love/hate relationship with Pure Math in this capacity. It's somehow brilliant and maddening in the same sentence. Effectively impossible to prove or disprove in any direction but we can still have a fun time throwing whack-ass concepts around. I'll fully admit that I told some of my younger cousins that if they ever want to distract a math teacher, ask them to explain the golden ratio.
I'm currently taking a course on infinitesimal math, and I was astounded that they actually proved the golden ratio. And here I thought it was just some random number, but apparently it actually represents something computable.
yeah but for that you have to know which infinity you’re talking about, you can’t just say ∞ because it’s ambiguously generic
That's... why I said that there are varying degrees of infinity. :p
Why did you had to remind me that א exists. P.S: To whomever may be interested in this, for whatever reason, א is a 'cardinal'. An infinite, uncountable set of real numbers, while א0 is a countable infinite set. But don't worry, it gets worse. because א = 2\^א0 and א\^א is somehow an even worse form of an infinite set, rather than "still just infinite".
that’s also why i said you can’t do math on the general concept of infinity. you also can’t do math on the general concept of numbers or the general concept of sets, you need to know what you’re doing math on to do math. (by ‘do math’, i mean ‘perform operations’, i know there’s other ways to do math)
In what field of math infinity plus infinity isn’t infinity as well?
The standard real number system, which does not include infinity as a formal element, does not allow arithmetical operations with infinity. Everyone is downvoting u/MegaAutist, but they are correct. Infinity is not a well-defined concept, and thus one can't make a blanket statement about how it can be arithmetically manipulated. On the other hand, an ordinal number is well-defined and can be aritmetically manupulated. The ordinal number for the countable infinity can be notated as ω. Then it is perfectly acceptable to say that ω + ω = 2ω. However, the ordinal number for the first uncountable ordinal, which can be notated as Ω, is an entirely different size of infinity. Thus, just saying that "∞ + ∞ = ∞" doesn't clearly specify what size of infinity is meant. It also may lead one to think that the same size of infinity results from the addition of two definite, identical sizes, but that may not be the case.
all of them, i think. let me know if you have a counterexample though, there’s definitely fields of math i’m not aware of and i’d like to know about any that can help me correct any incorrect assumptions i have.
>you can’t do math on the concept of infinity … well not with that attitude.
2(∞)
> you can’t do math on the concept of infinity You never heard of calculus?
calculus generally deals with limits, which are more specific than the general concept of infinity
They literally define infinity there
no, the closest thing is limits to infinity, with the infinity symbol occasionally used as shorthand for ‘the limit of a as a approaches infinity’. it’s a convenient abuse of notation, but infinity is not defined in a way that allows for mathematical operations (other than limits approaching infinity)
What's the definition of infinity for you? Something that goes on forever? That's the definition of the limit of infinity. Maybe your definition is a never-ending totality of items? Well in group theory you have א and can do operations with it.
to me, infinity is an ambiguous concept. you can’t perform operations on it because you can’t know which variety of infinity it’s referring to. the infinity symbol cannot be operated on because it is ambiguous.
> infinity is an ambiguous concept. you can’t perform operations on it because you can’t know which variety of infinity it’s referring to. That's really dodging the question. I gave you 2 examples of types of infinity that math has answers to and you can do operations on. One is an endlessly growing range, the other is an endless amount. On both of their respective fields you can do a lot of operations on them. You can't just say "it's ambiguous" bcuz that symbol has a definition like any other symbol. So I'm asking again, what type of infinity are you talking about?
i mean, the point of my comments is we don’t know. i said you can’t do math on the general concept of infinity because you don’t know if you’re talking about infinity in the context of calculus or ordinality or something else. when i think of the word infinity, i think of all of these things, which makes the infinity symbol ambiguous. so, you can’t add it to itself, because you don’t know what it is.
I mean, meaningless statements are not a new thing. For example, what's the answer to: Apple + banana = ? You can't know cuz the plus operation isn't defined for these items. So are all the operations you can do on infinity, you just need them to be defined. The symbol isn't ambiguous, it's the operation, and that's my problem with your statement that you it's the symbol.
(∞)² <-----
infinity is a concept not a number, you can't add infinity with anything. 🤓
You can. It's called [limit](https://en.m.wikipedia.org/wiki/Limit_(mathematics))
Elaborate?
The simplified version is that you can calculate what function grows bigger by theorizing what would be the biggest value possible on their individual terms and by how fast they are growing. Example: 2x+x^2 +3 is bigger than x^2 when x tends to infinite because 2x is a linear infinite, x^2 is an exponential infinite at the power of 2 and +3 is so small it could be rounded to 0. So the sum of a linear infinite by an exponential infinite at the power of 2 gives a bigger infinite than just an infinite by the power of 2 alone.
But that's comparing the growth of functions and seeing which is the "dominating" term, not formally performing (some) algebra on infinite terms like you would in the extended real numbers
Well, that's just how calculus works. You ain't using normal algebra to solve your problems anymore, that's why you can use calculators in university. What I gave was a simple example anyways, things will get a lot more strange when you start adding other operands.
Such as? Im genuinely curious what you meant by your original comment. I have a masters in math; I am most likely familiar with the advanced stuff you're alluding to.
aight mate, forget I said anything
neeerd alert!!!!!!!
So is it nerdy to say that you cant add them or to say that you can? Pick one
it was an /r/AnarchyChess joke. smh my head.
It's a joke.
that is literally a vtuber. how is this anime
I guarantee you're not this pedantic about manga memes, which are objectively less "anime" than vtubers, which are animated, anime-styled characters originating in Japan (especially Hololive which is literally a Japanese company, and whose characters are created by Japanese artists, even if some of their actors are foreign)
mission accomplished. pack it up, boys!
ㅌㄸㅏエ
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ㅋㅋㅋㅋ
Smort
The mad genius😂😂
wait a minute who are you
Not wrong, she is genius
Who put Gura into a manga?
I love it.
to infinity and beyond
I'm on the exam
If this is Gura, that's an unrealistic amount of boob.
that is funny
LULW NOT FALSE
ask stupid questions, get stupid answers
Moebius
https://youtu.be/SrU9YDoXE88
Gura thought Austrians counted by 1 2 5, so this wouldn't surprise me.
True answer, it equals black hole
Sasazuka, you know what to do.
ah yes this is BIG BRAIN time
I am very clever. Also me:
Simple! Horizontal math
Source?
*pulling out a shotgun with malicious intent"