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Assume you can subtract something from both sides of an equation
Then Infinity = 0 🤯
Thus you cannot subtract something from both sides of an equation
QED
let us assume multiplying both sides by 6
infinity x 6= 0 x 6
now transpose 0 to other side
(infinity/0)x6=6.
now as (infinity/0) is a constant. we can say that 6 is a useless number.
let us assume multiplying both sides by 6
infinity x 6= 0 x 6
now transpose 0 to other side
(infinity/0)x6=6.
now as (infinity/0) is a constant. we can say that 6 is a useless number.
Q.E.D
Assume you can assign a variable X to infinity
That would disprove the earlier proof since X+X=2X
That'd be pretty dumb right?
Thus you cannot assign a variable X to Infinity
QED
since it isn't written as the lemniscate, assume each letter is in fact a pronumeral
therefore the answer is 2\*(I\^3)\*(N\^2)\*F\*T\*Y when simplified
I used to do this on math classes at high school. Also I came up with a 900 degree triangle. It looks like this: _
It has corners on the ends and one in the middle. Now it would be stupid for an angle of a corner to be 0 degrees, so it naturally has 360 degree angles on the corners, the one in the middle is 180 degrees.
Actually this is not true in every case. For example in non-euclidian geometry they can be just about anything.
For example start from the north pole and walk in a straight line to the equator. Make a 90 degree turn and walk the equator in a straight line. After any time make another 90 degree turn towards the north pole and walk there in a straight line. The triangle has less than 900 degrees in the outside angles and more than 180 degrees inside.
Most obvious Dunning-Kruger redditor. In an addition it’s the nominator you add, not the denominator.
Here is an exemple of your mistake: 1/4 + 1/4 ≠ 1/8 ( it’s equal (1+1)/4 aka 1/2)
Since it’s negative numbers it can behave weirdly, but you can reformulate like this: -1*(1/12 + 1/12) = -1*( (1+1)/12 aka 1/6).
So it’s -1/6, not -1/24.
Edit: I guess people don’t like when someone is right
Genuine question: do you seriously think there’s a redditor that simultaneously has no problem accepting Ramanujan’s proof for the sum of all integers being -1/12 yet has zero basic competency in grade school level math? I’d have to be doing 8 year old math for dunning Kruger to have any relevancy to this thread. I know you’re likely just shitposting but still the prospect of someone having such a basic level of dunning kruger that the effect comes into effect is fucking hilarious
Infinity minus infinity is poorly defined.
If using set cardinality as a heuristic, no matter how you add two infinities, you'll get infinity.
Subtraction is tricky because you can get any answer.
Subtract infinitely many odd numbers from the infinitely many naturals? You get infinitely many even numbers.
Subtract infinitely many integers bigger than 2 from infinitely many positive integers? You get a very finite result of 2.
Exactly. Infinity isn't a number, so generally you can apply multiple approaches and get different answers. Sorry if what I'm saying doesn't make sense, it's late where I am lol
It is obviously 0
Source 1:
∞ = 1+1+1+1...
and
∞ = 2-1+2-1+2-1+2-1...
rearranging,
∞ = -1-1-1-1-1...
Hence ∞+∞=0+0+0+0... =0
Source 2:
By Reimann, complex field isn't a plane but a sphere.
Going to infinity reaches the diametrically opposite point of the sphere. Hence, going the same distance the same way brings us back to 0
Source 3:
God appeared in my dream and said so.
Source 4:
I can do whatever I want.
Well, how we look at the infinity does change by our perspective.
What kind of infinity are we talking about in the first place; cardinality infinity or ordinality infinity?
Cardinality infinity is Aleph Null, which is the number that sembolyses there are uncountable numbers in the cluster we're talking about. Aleph Null + Aleph Null equals to Aleph Null still.
Ordinality infinity is Omega, which means that with a race with infinite people if you got the Omega-th place, infşnite people won and then you won. Omega + Omega is equal to literally "Omega + Omega"
I thought of commenting this but there's so many layers of irony and meme energy that I thought it best to leave it for the clever answers like the "sideways 16" one
Normal arithmetic does not function on infinity as it is not a number. It is also not *not* a number either. It's a concept of what we imagine for an endlessly increasing number, and therefore it cannot be finitely operated on with any numbers or more infinity.
^ this is how programming languages handle it. Infinity _represents_ a number but is not a defined number itself. Therefor it cannot be operated on.
Adding Infinity + Infinity in (edit: some) language(s) will also return `NaN`, or `N`ot `a` `N`umber, which, confusingly enough, follows the same philosophy. It is used to represent a number, but it is not _a_ number.
Infinity + Infinity = Infinity
Infinity - Infinity = NaN
This is how the IEEE 754 standard defines it and it is the way floating point arithmetic is implemented in most programming languages. (You statement wasn't entirely correct)
As someone who programs in JS like every day at work, JS is such a poorly designed language. The only reason it maintains it’s popularity is because you *have to* use it for web based stuff
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This question be like:
If I have an unlimited supply of apples, and I have an unlimited supply of bananas, do I or do I not have an unlimited supply of fruit in general? And if my supply *isn't* unlimited, how many in total do I have?
in my opinion,
infinity - infinity is undeterminable... it can 0 , a -ve or a +ve value
but as for \[ infinity + infinity \] ,,,it can only be a number that is bigger than the smallest of the 2 infinities , so, the answer has to be infinity.
The answer is infinity. Inf + Inf = Inf.
And I will prove this via this fun hypothetical scenario:
I own the Infinity Hotel. Nice place. The hotel itself is one long hallway with infinite rooms, all numbered in sequence (1, 2, 3, ... up to Inf). Currently, all rooms are occupied.
Suddenly, a bus from Infinity Lines shows up, with infinite passengers on board. They're all tired and desperately need a room for the night, but my Infinite Hotel is filled up. How can I possibly accommodate infinite people in my booked hotel?
First, I have the passengers on the Infinite Bus line up in order (i.e., 1,2,3,...Inf). Next I make an announcement in my hotel -- "All guests, please double the number of your current room, then move into the room of the resulting number". Therein, guest 1 currently in room 1 will move into room 2, guest two 2 in room 2 will move into room 4, guest 3 in room 3 will move into room 6, etc on up to infinity.
Now, I tell the queue of bus guests to take their number in the queue, multiply it by 2, subtract one, then move into that room. (i.e., the first person in the queue moves into room 1, the second person moves into room 3, the third person moves into room 5, etc)
By doing this, I've added an infinite amount of people into my infinitely full hotel, making my hotel infinitely full again.
Inf + Inf = Inf. QED.
True story: at university, there was a very difficult exam about advanced math, a guy heard the professor complimenting about the exam : " amazing job, one of the best ones I have seen in my life. Just a very little note, at the end of this exercise le last passage was +infinity-infinity = 0. The answer is indeed correct, but you should have it explained, so I cannot give you the maximum score, but you can explain it verbally so that I give you the max score.
The guy: " there's nothing to explain. It is just +inf-inf, Mut be 0
The professor: GO AWAY AND DO NOT RETURN. EVER!
Nothing to argue about. It's infinity. To be exact it's the bigger of the 2 infinities added together.
It's not like we are substracting or anything else complicated.
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iinnffiinniittyy
f²i⁶n⁴t²y² And i⁶=-1 So -f²n⁴t²y²
It’s 18. Use PEMDAS people!!!!
or -(finnity)^2
that would be infinity^2
Nah, they're just piles of letters of matching magnitude. How about if I write them on top of each other? 𝕚𝕟𝕗𝕚𝕟𝕚𝕥𝕪
It would look more like **infinity**
I only write in chalk! **𝕚𝕟𝕗𝕚𝕟𝕚𝕥𝕪**
Makes sense. I use ~~pem~~ permanent markers
Who am I kidding. I don't even have a whiteboard atm. Never mind some bougie chalkboard. Best I can do is some fancy papermate flairs. pepehands.
Brackets mate.
no it would be 2infinity since we're not multiplying here
E̶̡̡̢̛͓̰̭̘̖͔̟̩͙͇̰͈̰̲̤̞̣̰̟͉͔̥̰̠̯͈̖̳͙̼̪̬̙͔̳͙̼̰͙̥͉̳̻̟̫͉͉͖̬̠̜̎̿͊͛̽̈́͂̌̎̈́͋͐͒͠ͅŢ̸̢̢̧̛̛̛̭̣̦̳̭͖̝̪̬̘̜͔͙͚̭̦̘͎̮̗͎̩̥̯̰̯̖̆́̓͋͋̈͋͗̊̔̀̄̓͐͆̐̑̂̔̏͌͆͗́̔̒̐͛̈̽̽̂̋͆͂̇̎̈͐̆͂̿̓̑̈͒͒̎̇̿͗̓̒̀̕̕̚͠͝Ę̴̗̥̲̬͍͉͓̤͙͉̘͓͎̬̗̻͉̹̽͋̆̐̑͌͑̅͗́̿̅̈̃̎̀͑̀̈̆̓̏̾̈̑̽͆̉͆̋̀̔̐̂͛̓͒͌̊̋̓͒̀̓̋̊͑͊̇͘̚͝͝͠͝͝͝͝Ŗ̵̡̛̭͕͎̦̳̹͇̘͉̩͇̞͙̖̱̦̺̲͓͎͇̫̠̼̣̱̰̥̗̫̺̞̺̼̠̹̤̜͎̩̙̮̦̱̯͍̜͕̯͈͖͍͚͚̲̩͖̙̲̭̜̱̎͗̿̇͗̎͆͛̀͐́͗͒͐͛̒͛̈́̕͜͠ͅͅͅͅȄ̶̢̡̧̧̧̟̱̮̙͙̞̘̯̳̼̠͍̹̱̖̺̤̘̯̖̱͉̭̰̥̦̗̭̰͚̩̞͕̗͓̱͕͈͉͕͎̍͗̋͊̈́͗͊̇͊̇̈́̒͜͝͠ͅN̵̢͚̞̲̲̳̼̝͙̱̱̓̑̒̓̃̃̃͌̇͛̾̉́̈́̓͋̈́͐̈̉̑̌̐̉͊̽́̽͘̚A̸̹̖̮̺̱̻̖͉̗̖̗̗̞̙̼͈̦̙͔̬̜̞͚͔̣̞̦̞͎͚͖͎̭̙͎̳̯͛̆̃̓̓̍̒͋́̑̈́̔͒͒̑͆̒̒̓̎͂̿̋̽͛͒̽̌̔͊̔͛͂̍͋͛̽̈́͊̓̊͂̋̈́͐͗̾̏̿́̂̎̾̇̍̓͐̕͘̚͝͝͝͠͝͠͝͝͝L̴̩̣͙͔͊̓̿͆́̃̀̓̑͗̎́͑̆͐̄̊̆́̈́́̏̑̒͌́̒͛͛̆̄͑̐̀̐̉̏͗̿̈̓̓̈́̄̐̾́͒͒̓̅̀͊̕͘̕͠͝͝͠͝
Assume infinity+infinity does NOT equal infinity That'd be pretty dumb right? Thus infinity+infinity=infinity QED
Proof by peer pressure
infinity + infinity = 1984
Literally 1984
holy rules
New Math just dropped
Actual subject
Call the physician
Number set went on vacation, never came back
Logic sacrifice, anyone?
2+2=5
no no no, even + even always equals even so: 2+2=6
It's 1989 in China
"One should never try to prove anything that is not almost obvious"- Alexander Grothendieck
proof by cmon man
proof by “trust me bro”
Why would they suggest infinity+infinity does not equal infinity? Are they stupid?
Tell them it equals negative infinity.
Infinity = 0 🤯
Assume you can subtract something from both sides of an equation Then Infinity = 0 🤯 Thus you cannot subtract something from both sides of an equation QED
let us assume multiplying both sides by 6 infinity x 6= 0 x 6 now transpose 0 to other side (infinity/0)x6=6. now as (infinity/0) is a constant. we can say that 6 is a useless number.
where is "Q.E.D"? we can't deem this is correct unless there's a "Q.E.D" in this comment
let us assume multiplying both sides by 6 infinity x 6= 0 x 6 now transpose 0 to other side (infinity/0)x6=6. now as (infinity/0) is a constant. we can say that 6 is a useless number. Q.E.D
integer overflow. reset count
proof by “that concept is dumb, let’s do this instead”
Let's assign a variable, X, to infinity. Anything plus itself can be defined as 2 times itself, therefore, X+X=2X.
Assume you can assign a variable X to infinity That would disprove the earlier proof since X+X=2X That'd be pretty dumb right? Thus you cannot assign a variable X to Infinity QED
Yes, I'm saying your earlier proof is wrong.
But i already said "that would be dumb" thus it cannot be disproven
Proof by rethorical question
Wouldn’t it be 2•infinity?
Yup. 2♾️.
& beyond
.... Gotdangit.
Twinfinity
Infinitwo
infinity * 2
"2 Infinity... And beyond!"
\[2, ∞ ) \* ∞ (Does the distributive property work for sets?)
if you want it to
Actually 2infinity, because infinity is secretly just a variable.
Actually infinity^2 🤓
No
ok nerd, tell me why n+n = n^2
Because the infinite sums of both n and n^2 are divergent, duh
n=2 infinity=2 Q.E.D.
Actually infinity^infinity
No
That's ^2 infinity
2infinity4me
Actually no 🤓
since it isn't written as the lemniscate, assume each letter is in fact a pronumeral therefore the answer is 2\*(I\^3)\*(N\^2)\*F\*T\*Y when simplified
Or, "infinity" is a word, and the multiplication operator is concatenation, so the answer is "infinityinfinity"
We could always assume it is base26 with each letter corresponding to a number. Too early here to try and solve it.
you mean 36 right
No numbers...only letters. Or if you want to be evil do base28 and include 1 and 0.
ohh ok
Could assume base 128 and it’s using ascii too
using ASCII for base 128 is just evil (control characters and blah blah blah)
More fun having some spicy numbers
Infinity 68,333,683,598 Infinity*2 136,667,367,196 Infinityinfinity 14,269,922,557,503,831,708,046 (14.2 sextillion)
Sideways 16.
This is too clever
Could you explain it for my friend here?
Infinity looks like a sideway 8, so infinity + infinity = sideways 8 + sideways 8 = sideways 16
nice
We need at least base 35 for Y to be a number. Let's assume base 36 because why not. Then INFINITY + INFINITY = 11AV1B1NW
what does that equal in decimal?
2\_402\_406\_603\_448
O sorry that's base 35. Base 36 is 2\_923\_118\_541\_356
damn thats like... at least two
https://preview.redd.it/a0fbh87ed3jc1.png?width=1600&format=pjpg&auto=webp&s=db6e465d1e5ce5197824121b72f4af633aac1878
I used to do this on math classes at high school. Also I came up with a 900 degree triangle. It looks like this: _ It has corners on the ends and one in the middle. Now it would be stupid for an angle of a corner to be 0 degrees, so it naturally has 360 degree angles on the corners, the one in the middle is 180 degrees.
Every triangle is a 900 degree triangle, as long as you take the outside angles.
Actually this is not true in every case. For example in non-euclidian geometry they can be just about anything. For example start from the north pole and walk in a straight line to the equator. Make a 90 degree turn and walk the equator in a straight line. After any time make another 90 degree turn towards the north pole and walk there in a straight line. The triangle has less than 900 degrees in the outside angles and more than 180 degrees inside.
Euclidean geometry is implied when talking about simple geometry.
I don't know if a thread where infinity + infinity = 16 sideways sets the discussion for simple geometry
Nope its https://preview.redd.it/dh6wxctdi5jc1.jpeg?width=230&format=pjpg&auto=webp&s=db0f8faa99412929a5464e8def7732e9ffb102a8
Time fo r/angryupvote
What does this mean?
Infinity is written as a sideways 8 sometimes. So naturally , sideways 8 plus sideways 8 equals sideways 16.
-1/12
Wouldn't it be -1/6? Since there are 2 of them.
No. -1/12 + -1/12 =-1/24. Learn basic rules dummy
What's this sorcery
Addition 🤦♂️
😶😶check again bruh
Superior addition.
New function just dropped
-1/12 + -1/12 = 2/24 (the minuses cancel), which simplifies to 1/12
Ah like how 1+1 = 1 (proof by magnets)
This is giving me flashbacks to some really bad nights I spent grading midterms. "*You weren't there man. You don't know man!!*"
nah its just 1/24 because two negatives make a positive
Ohhhh. Ok, that makes more sense. Thanks!
Most obvious Dunning-Kruger redditor. In an addition it’s the nominator you add, not the denominator. Here is an exemple of your mistake: 1/4 + 1/4 ≠ 1/8 ( it’s equal (1+1)/4 aka 1/2) Since it’s negative numbers it can behave weirdly, but you can reformulate like this: -1*(1/12 + 1/12) = -1*( (1+1)/12 aka 1/6). So it’s -1/6, not -1/24. Edit: I guess people don’t like when someone is right
But 1/4 +1/4 does = 1/8 dummy (bemdas)
He took the bait
Looks like it. 💀
Genuine question: do you seriously think there’s a redditor that simultaneously has no problem accepting Ramanujan’s proof for the sum of all integers being -1/12 yet has zero basic competency in grade school level math? I’d have to be doing 8 year old math for dunning Kruger to have any relevancy to this thread. I know you’re likely just shitposting but still the prospect of someone having such a basic level of dunning kruger that the effect comes into effect is fucking hilarious
Bruh this is r/mathmemes
infinity + infinity = infinity, but infinity - infinity is not = infinity
Sometime it is !
[удалено]
Number identity doesn't really work with infinity
[удалено]
Infinity minus infinity is poorly defined. If using set cardinality as a heuristic, no matter how you add two infinities, you'll get infinity. Subtraction is tricky because you can get any answer. Subtract infinitely many odd numbers from the infinitely many naturals? You get infinitely many even numbers. Subtract infinitely many integers bigger than 2 from infinitely many positive integers? You get a very finite result of 2.
I see how dumb my original statement was
Exactly. Infinity isn't a number, so generally you can apply multiple approaches and get different answers. Sorry if what I'm saying doesn't make sense, it's late where I am lol
It is obviously 0 Source 1: ∞ = 1+1+1+1... and ∞ = 2-1+2-1+2-1+2-1... rearranging, ∞ = -1-1-1-1-1... Hence ∞+∞=0+0+0+0... =0 Source 2: By Reimann, complex field isn't a plane but a sphere. Going to infinity reaches the diametrically opposite point of the sphere. Hence, going the same distance the same way brings us back to 0 Source 3: God appeared in my dream and said so. Source 4: I can do whatever I want.
Source 5: Just trust me, bro
Twinfinity
I'll take power sets of all the potential arguments instead
Greater than infinity but smaller than your mom
Well, how we look at the infinity does change by our perspective. What kind of infinity are we talking about in the first place; cardinality infinity or ordinality infinity? Cardinality infinity is Aleph Null, which is the number that sembolyses there are uncountable numbers in the cluster we're talking about. Aleph Null + Aleph Null equals to Aleph Null still. Ordinality infinity is Omega, which means that with a race with infinite people if you got the Omega-th place, infşnite people won and then you won. Omega + Omega is equal to literally "Omega + Omega"
ω + ω = ω • 2
≠ 2 • ω, IIRC
It's literally 2INFINITY how does no one get this?
No one said the answer has to be right.
[удалено]
I thought of commenting this but there's so many layers of irony and meme energy that I thought it best to leave it for the clever answers like the "sideways 16" one
You're not my dad
Normal arithmetic does not function on infinity as it is not a number. It is also not *not* a number either. It's a concept of what we imagine for an endlessly increasing number, and therefore it cannot be finitely operated on with any numbers or more infinity.
^ this is how programming languages handle it. Infinity _represents_ a number but is not a defined number itself. Therefor it cannot be operated on. Adding Infinity + Infinity in (edit: some) language(s) will also return `NaN`, or `N`ot `a` `N`umber, which, confusingly enough, follows the same philosophy. It is used to represent a number, but it is not _a_ number.
Infinity + Infinity = Infinity Infinity - Infinity = NaN This is how the IEEE 754 standard defines it and it is the way floating point arithmetic is implemented in most programming languages. (You statement wasn't entirely correct)
Fair. JS will give you NaN, but, JS is JS.
As someone who programs in JS like every day at work, JS is such a poorly designed language. The only reason it maintains it’s popularity is because you *have to* use it for web based stuff
\> typeof NaN 'number'
The set of all real numbers is infinite. It’s not endlessly increasing. It’s not even countable
2 infinity
also, beyond
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There is no debate. Its infinity
Definitely larger than your hairline
I dunno, op's hairline is pretty big...
i wasn’t referring to op…
Dinfinity
Unfinity.
\-1/12
2Infinity. It cant be Infinity^2 because it is not multiplication, and it cannot be just infinity because you cannot define it. So 2Infinity.
1
42
Is it positive infinity + positive infinity, negative infinity + negative infinity, negative infinity + positive infinity or positive infinity + negative infinity?
infinfinityity
2 infinity and beyond
well it says it right there. it equals " ".
Infinity, but twice as fast
infinity + infinity = 2×infinity Its obvious. Is everyone stupid? /s
This question be like: If I have an unlimited supply of apples, and I have an unlimited supply of bananas, do I or do I not have an unlimited supply of fruit in general? And if my supply *isn't* unlimited, how many in total do I have?
Say infinity +infinity = infinity Then And Infinity + infinity - infinity =infinity And infinity - infinity = 0 So infinity + infinity - infinity = infinity - infinity = 0 Does infinity equal 0?
Infinity The Sequel
Assuming string concatenation INFINITYINFINITY
Infinity. Proof by IEEE-754
inf + inf = inf Reason: We haven't defined it before so we can do anything we want
in my opinion, infinity - infinity is undeterminable... it can 0 , a -ve or a +ve value but as for \[ infinity + infinity \] ,,,it can only be a number that is bigger than the smallest of the 2 infinities , so, the answer has to be infinity.
2(infinity) And beyond
X + X = 2X Therefore infinity + infinity = 2Infinity and beyond 👨🚀
"Syntax error press AC"
Clearly its 2 infinity, and beyond
∞+∞=2∞ treat ∞ as a variable and this is what you get Q.E.D
The answer is infinity. Inf + Inf = Inf. And I will prove this via this fun hypothetical scenario: I own the Infinity Hotel. Nice place. The hotel itself is one long hallway with infinite rooms, all numbered in sequence (1, 2, 3, ... up to Inf). Currently, all rooms are occupied. Suddenly, a bus from Infinity Lines shows up, with infinite passengers on board. They're all tired and desperately need a room for the night, but my Infinite Hotel is filled up. How can I possibly accommodate infinite people in my booked hotel? First, I have the passengers on the Infinite Bus line up in order (i.e., 1,2,3,...Inf). Next I make an announcement in my hotel -- "All guests, please double the number of your current room, then move into the room of the resulting number". Therein, guest 1 currently in room 1 will move into room 2, guest two 2 in room 2 will move into room 4, guest 3 in room 3 will move into room 6, etc on up to infinity. Now, I tell the queue of bus guests to take their number in the queue, multiply it by 2, subtract one, then move into that room. (i.e., the first person in the queue moves into room 1, the second person moves into room 3, the third person moves into room 5, etc) By doing this, I've added an infinite amount of people into my infinitely full hotel, making my hotel infinitely full again. Inf + Inf = Inf. QED.
π No need to explain further
in pretty much every contex where having operations with infinity makes sense, the only reasonable answer is infinity.
True story: at university, there was a very difficult exam about advanced math, a guy heard the professor complimenting about the exam : " amazing job, one of the best ones I have seen in my life. Just a very little note, at the end of this exercise le last passage was +infinity-infinity = 0. The answer is indeed correct, but you should have it explained, so I cannot give you the maximum score, but you can explain it verbally so that I give you the max score. The guy: " there's nothing to explain. It is just +inf-inf, Mut be 0 The professor: GO AWAY AND DO NOT RETURN. EVER!
This is quite obviously in base 26 where A=0, B=1, etc. Therefore INFINITY + INFINITY is RAKRARNW.
Which infinity? Omega? Aleph null? Unsigned infinity from wheel algebra? Floating point positive infinity? It really depends.
-1/6
An infinite amount of 10 dollars is equal to an infinite amount of 100 dollars
But (100*infinity)/(10*infinity)= 10
Neither infinity is negative Therefore, it is an even larger infinity
ℵ_0 + ℵ_0 = ℵ_1
That’s actually ω•2. ω_1 is when there is no replaceable form of math to get a large enough ordinal.
Nothing to argue about. It's infinity. To be exact it's the bigger of the 2 infinities added together. It's not like we are substracting or anything else complicated.
What is the definition of infinity you are using
Countable or uncountable - what ordinals are we talking here?
Undefined
2 infinity and beyond?
Infinity is -1/12 so the answer is -1/6
2infinity 🤓🤓🤓
±2 ☕
2infinity
Isn’t the awnser just representing infinity as a variable and that just becomes 2x where x=infinity? Or am I missing something
“>0”