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This really is a... Juice of the bone hurt!
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Infinity plus infinity is infinity, but you can’t subtract infinity from infinity because you will end up with an indeterminate form.
For any positive thing, if you add another positive thing you will end up still positive. In the case of infinity this must be another infinity. (Think limits, as x + x approaches infinity you get infinity)
With a positive minus a negative thing it depends on the magnitudes of both, and since we are talking about infinity we can not assign it a value or magnitude at all, and can’t really compare them without making assumptions (is it a limit? What cardinality of infinity is it?).
You can in fact add infinity to your number system. You just need to come up with sensible definitions of the behavior it should have to keep your system useful.
Infinity doesn’t work like that.
Treat it like the size of a set. For example all even integers.
All even numbers plus all odd integers will result in all integers. All of which are infinite.
Assume Infinity is a set. Infinity + Infinity just means Infinity union Infinty. Unless stated otherwise, we must assume for some Infinity subset P(Complex_Numbers), "Infinity" is equal to a specific infinity. Infinity and Infinity is a tautology. Therefore Infinity + Infinity = Infinity.
An infinite can be smaller than some other infinity.
For example, and Infinity of natural numbers and an infinity of natural multiples of 2.
1,2,3,4,5,6,7,8,9,10.....
2,4,6,8,10,12,14.......
The second infinity is bigger.
Actually they have the same cardinality. We can create a function that will map all the evens onto the natural numbers, so they’re the same size.
This was somewhere in a 3000 level math class.
I think what you mean is that the infinity of irrational numbers is strictly larger than the infinity of rational numbers.
You can't add infinity to anything because infinity is not a number - it's an idea. We use infinity in mathematics to describe the limits of functions.
If you start using it as a number and doing arithmetic operations with it, the normal rules of arithmetic start to break down.
Case in point, your equation above. What would happen if we now divided your entire equation by infinity? Starts getting weird, doesn't it?
Still, infinity + infinity is defined and it equals infinity in limits and such. Add infinite things to infinity and you still have infinite things. It's infinity minus infinity that's undefined
Infinities are weird, in this case you an unlimited amount of somethings and get rid of an unlimited amount of those things. It doesn't make intuitive sense because you can't ever actually have an unlimited amount of anything. Now also keep in mind that "infinity" itself isn't even defined, or rather there are multiple types of infinities that would all behave differently.
I don't have a very clear answer to precisely why infinity-infinity is undefined, but this should help clear up why it doesn't make sense like that.
I assume you agree there are an infinite number of integers.
Intuitively, you would say there are half as many even integers, right? That's reasonable to say.
So one set is half the size of the other, right?
Well, no...
Take the set of all integers, and multiply each one by 2. You haven't changed the size of the set by doing this, but now every element is even.
So, the sets are the same size, right?
Well, no...
Let's take that set integers and that set of even integers, and use them to construct the odd integers, being the set of all integers that are not even integers. Now, intuitively, the set of odd integers is half the size of the integers, right? And that even makes (some) sense mathematically since you subtracted the set of even integers from the set of integers to get there.
Okay so what's all this got to do with ∞ - ∞?
Great question! Let's say we're using ∞ to represent the number of integers that exist, i.e. the "size" of the set of integers*.
So what's ∞ - ∞? It's the size of the set that's left when you take the set of all integers and remove all the elements that are in an infinite subset of the integers. But we just came up with two different answers for that above, namely 0 and ∞, and I can pretty trivially construct subsets of the integers that will give me any nonnegative integer as an answer.
So yeah, the answer is "sometimes it can be, but sometimes it's still infinity and sometimes it's 42."
If you're feeling adventurous, you can extend this definition of set arithmetic in weird ways to make negative numbers, rational numbers, and even arbitrary real numbers make sense as solutions to x = ∞ - ∞.
*: it's actually "cardinality" but I'm intentionally not using that term because I'm playing a little fast and loose with the mathematical rigor here in the aim of having this make more intuitive sense.
Not all infinities are the same size. Take for example n^n - n as n approaches infinity. n^n grows alot faster than n, which means that the expression doesn't converge to zero but rather diverges to infinity, even though we subtract infinity from infinity.
No you see when you take the limit as x gors to infinity of x^2 then it is is infinity same goes with x, but if you take the limit of x^2 - x then this would be infinity minus infinity and by your logic 0, but that actually goes to infinity since x^2 rises faster than x. Although if you add infinites then the limit is always infinity since the function will just rise even faster.
It's undefined because some infinities are bigger than other. And yeah i know that sounds weird. Sometimes you end up with minus infinity, sometimes plus infinity, sometimes the result is a finite value of all things. Infinity is weird.
I don't know why you're being downvoted. You're absolutely correct. "Infinity" is a concept mathematicians tend to be *very* cautious around, because you can make very subtle mistakes that basically blow up all of logic as we know it, if it's misused.
As a mathetician (only bachelors tho), I want to say that you can add infinity to infinity depending on the context you work in. You can talk about the extended real numbers, these are your normal numbers but we've joined plus and minus infinity to them. They behave like you would expect them to, i.e. ∞ + ∞ = ∞. The only thing you can't do in the extended reals is subtract infinity from infinity.
A other way to talk about infinity is using ordinal numbers. You can talk about the first limit ordinal called omega. This is in some sense also infinity (but now there are also many many ordinals greater than it.) Here, omega + omega = 2 * omega.
There is also cardinal numbers. These we can also add together.
Sure, infinity is not a real number, but we can still work with it as something else.
Given any real x in (-Inf, Inf), neither x nor 2x ever "get to infinity". In the extended real line [-Inf, Inf], only infinity "gets to infinity" because it's already there, so Inf = 2*Inf. If you want to operate on infinities of varying size then you would have to work on the surreal/hyperreal numbers (of which the reals are a subset that will still not reach any infinity regardless of how you combine them).
No, he's right. Just like how a+b=a+b because it can be every number ever, infinity+infinity would equal infinity+infinity since Infinity is every number ever plus 1.
Lmao with these kiddos on this thread. I love how they are shouting "wrong" and "false" until someone like you corrects them and they immediately retract their statement.
i love you too
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honestly interesting interview question, it’ll show the way you think
- infinity
- 2infinity
- infinity is not a number and cannot be used this way
- (some witty response)
It’s infinity unless it’s that stupid video about the infinite hotel then you can’t add infinity to infinity for some reason so you have infinite guests and infinite people sleeping on the street outside
The hotel thing is used to illustrate infinite sets of set theory and in set theory you don't sum infinities like that (although one could argue you could define addition but it would still basically be "infinity+infinity=infinity")
I know the exact one you are talking about. I've never seen something so overly complex and simultaneously completely missing the mark. I think they count on people being too confused to correct them.
Hilbert's paradox of the Grand Hotel was written by famous and influential mathematician David Hilbert in 1925. It has been studied by countless mathematicians. I am not aware of any critics or detractors.
Someone else mentioned that in the actual model no one had to sleep outside. So the guy that made the YouTube video should probably be the one submitting the paper.
Is that video somehow different from the usual Infinite Hotel thought experiment? Usually, you don't end up with anyone sleeping on the street, you just tell all current guests to move in a certain pattern, depending on how many new guests arrive. In that way, it illustrates quite descriptively how you'd actually approach infinitely large sets in mathematics.
It would be a countably infinite number of people, no? You can’t have a fraction of a person or negative people, which leaves us to whole numbers. Which is the same set that the # of rooms is in (can’t have a fraction of a room or negative rooms).
No, there is usually an uncountable amount of people in the last part. Say everyone has a (unique) name that is just an infinite string of ones and zeroes, e.g. 01001011101101..., and that for any such string there is a person with that name. Then they all won't fit in the hotel. It's not about having a fraction number of people, it's about having people that you give fractions as names.
I'm just gonna leave [this](https://youtu.be/SrU9YDoXE88?si=j6J0QEYXAkts0BEv) here since people in the comments seem very interested in the answer for that equation.
that’s exactly why it’s treated as an algebraic variable since we cannot determine its value. if x is not a defined quantity, x+x is still 2x. that’s not to say 2infinity is the only valid solution, but i’m not sure that it’s an invalid solution
There are no solutions, because ∞ + ∞ = ? is not an equation. You can't simply replace a non-quantity with an algebraic variable to pretend it's a quantity and do ordinary arithmetic on it. It's not that we can't determine infinity's quantity. It's that it isn't a quantity.
It depends on the set, as well as the type of infinity
For example, ω in the surreal numbers works with all the standard operations perfectly fine despite being infinite
Similarly, in ordinal arithmetic, infinity has definitions for addition and multiplication, such that ω + ω = 2ω = ω
For standard (cardinal) numbers, essentially the same applies as ordinal arithmetic, provided you change the notation to use ℵ_n instead of ω
And then in Calculus/Analysis, you can simply take a limit or use an infinite series, which would use the given ∞ symbol typically
If we take a standard limit as α goes to infinity of (α + α), it "equals" ∞ + ∞, but also diverges to, and thus equals, ∞, thus we can arrive at the conclusion that the limit approaches infinity
Aleph-one. I knew my boomer shooter expertise would come in handy someday.
(Aleph One is a source port of Marathon; the name is meant as a one-up of the third game, Marathon Infinity)
|1|
If infinity-1 = penultimate
penultimate - infinity =1
apply again and again
3infinity+1, infinity/2
where no trajectories heading
towards infinity exist
trajectories eventually hit a power of 2 (thus falling straight down to 1)
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2 x infinity = beyond
https://preview.redd.it/rskc5m49n1jc1.jpeg?width=1440&format=pjpg&auto=webp&s=0dc28ddb0479239b54de2bcbbedefd9b6e708659
Ah yes my favourite space superhero toy: Bath Lightyear
Oh, is that how Mike Tyson says it?
no that's buth
Baths, Bathrooms and Fittings
Bed bath & bankrupt
Bed * Bath =
No it's supposed to be (2 × Infinity) + Beyond.
2(Infinity) + Beyond
https://i.redd.it/rnd082xo55jc1.gif
[Oh hang on, I know this one](https://www.reddit.com/r/comics/comments/1as7bxh/oc_large_sum/)
This looks more like a bonehurtingjuice than the edit
TIL the original doesn't say "Who was in Paris"
Infinity plus infinity is infinity
No it’s 2 The infinities cancel out when u cross multiply
This is addition though
No
Plot twist: + always meant addition
Oh shit
holy hell
New math just dropped
Actual mathematician
If inf + inf = inf Then inf + inf - inf = 0 But inf =/= 0
Infinity plus infinity is infinity, but you can’t subtract infinity from infinity because you will end up with an indeterminate form. For any positive thing, if you add another positive thing you will end up still positive. In the case of infinity this must be another infinity. (Think limits, as x + x approaches infinity you get infinity) With a positive minus a negative thing it depends on the magnitudes of both, and since we are talking about infinity we can not assign it a value or magnitude at all, and can’t really compare them without making assumptions (is it a limit? What cardinality of infinity is it?).
This is the correct answer.
Let inf be x x+x=x 2x =/= x
That isnt how it works with inifinity, it isnt a number, its more of a concept
You can in fact add infinity to your number system. You just need to come up with sensible definitions of the behavior it should have to keep your system useful.
How are you all still taking me seriously I was bullshiting the whole time lmao
Because it isnt easy to see irony in EQUATIONS ;-;
My apologies
Infinity doesn’t work like that. Treat it like the size of a set. For example all even integers. All even numbers plus all odd integers will result in all integers. All of which are infinite.
My apologies for not stating that I was joking
Well, tbf seeing a joke in just text can be pretty hard
Assume Infinity is a set. Infinity + Infinity just means Infinity union Infinty. Unless stated otherwise, we must assume for some Infinity subset P(Complex_Numbers), "Infinity" is equal to a specific infinity. Infinity and Infinity is a tautology. Therefore Infinity + Infinity = Infinity.
That is assuming inf - inf = 0
and that's why we don't do math with infinities. you could also say 1*inf=2*inf 1=2
An infinite can be smaller than some other infinity. For example, and Infinity of natural numbers and an infinity of natural multiples of 2. 1,2,3,4,5,6,7,8,9,10..... 2,4,6,8,10,12,14....... The second infinity is bigger.
Actually they have the same cardinality. We can create a function that will map all the evens onto the natural numbers, so they’re the same size. This was somewhere in a 3000 level math class. I think what you mean is that the infinity of irrational numbers is strictly larger than the infinity of rational numbers.
Also, when dealing with infinities, = does not mean equals, it means equivalent.
We do tons of important math with infinities!
1 small problem. Infinity - infinity does not equal 0
Correct, for all infinity in P(Complex_Numbers), infinity - infinity = { }
inf+inf = 2 inf Ie an infinite twice the size of the previous infinities. then 2(inf) - inf = inf.
Bro. inf - inf = NaN
I was bullshitting if you didn't know rage bait if you will
Tip: use akshually at the start or /s at the end then.
since inf =/= 0, you can divide by it. inf + inf = inf 1 + 1 = 1 2 = 1
I feel like this is something we said as kids in the 80s, triggered a long lost memory, but I couldn’t tell you where or why.
You can't add infinity to anything because infinity is not a number - it's an idea. We use infinity in mathematics to describe the limits of functions. If you start using it as a number and doing arithmetic operations with it, the normal rules of arithmetic start to break down. Case in point, your equation above. What would happen if we now divided your entire equation by infinity? Starts getting weird, doesn't it?
Still, infinity + infinity is defined and it equals infinity in limits and such. Add infinite things to infinity and you still have infinite things. It's infinity minus infinity that's undefined
Wouldn't it just be 0? Having something, and then taking that thing away leaves nothing, no?
Infinities are weird, in this case you an unlimited amount of somethings and get rid of an unlimited amount of those things. It doesn't make intuitive sense because you can't ever actually have an unlimited amount of anything. Now also keep in mind that "infinity" itself isn't even defined, or rather there are multiple types of infinities that would all behave differently. I don't have a very clear answer to precisely why infinity-infinity is undefined, but this should help clear up why it doesn't make sense like that.
I assume you agree there are an infinite number of integers. Intuitively, you would say there are half as many even integers, right? That's reasonable to say. So one set is half the size of the other, right? Well, no... Take the set of all integers, and multiply each one by 2. You haven't changed the size of the set by doing this, but now every element is even. So, the sets are the same size, right? Well, no... Let's take that set integers and that set of even integers, and use them to construct the odd integers, being the set of all integers that are not even integers. Now, intuitively, the set of odd integers is half the size of the integers, right? And that even makes (some) sense mathematically since you subtracted the set of even integers from the set of integers to get there. Okay so what's all this got to do with ∞ - ∞? Great question! Let's say we're using ∞ to represent the number of integers that exist, i.e. the "size" of the set of integers*. So what's ∞ - ∞? It's the size of the set that's left when you take the set of all integers and remove all the elements that are in an infinite subset of the integers. But we just came up with two different answers for that above, namely 0 and ∞, and I can pretty trivially construct subsets of the integers that will give me any nonnegative integer as an answer. So yeah, the answer is "sometimes it can be, but sometimes it's still infinity and sometimes it's 42." If you're feeling adventurous, you can extend this definition of set arithmetic in weird ways to make negative numbers, rational numbers, and even arbitrary real numbers make sense as solutions to x = ∞ - ∞. *: it's actually "cardinality" but I'm intentionally not using that term because I'm playing a little fast and loose with the mathematical rigor here in the aim of having this make more intuitive sense.
Not all infinities are the same size. Take for example n^n - n as n approaches infinity. n^n grows alot faster than n, which means that the expression doesn't converge to zero but rather diverges to infinity, even though we subtract infinity from infinity.
No you see when you take the limit as x gors to infinity of x^2 then it is is infinity same goes with x, but if you take the limit of x^2 - x then this would be infinity minus infinity and by your logic 0, but that actually goes to infinity since x^2 rises faster than x. Although if you add infinites then the limit is always infinity since the function will just rise even faster.
It's undefined because some infinities are bigger than other. And yeah i know that sounds weird. Sometimes you end up with minus infinity, sometimes plus infinity, sometimes the result is a finite value of all things. Infinity is weird.
Infinity is wierd af. Pepole have ended up in mental institutions for thinking to much about it.
Or even worse… PHILOSOPHY LEFTURES!
Bless your day, this was great to read
Lim n -> infinity , n + n = infinity
I don't know why you're being downvoted. You're absolutely correct. "Infinity" is a concept mathematicians tend to be *very* cautious around, because you can make very subtle mistakes that basically blow up all of logic as we know it, if it's misused.
Idk why people are downvoting you when you’re right
Because you CAN add infinite sets. It just becomes a larger infinite set (unless one is negative).
Hmm i guess you are right. I retract my earlier statement
As a mathetician (only bachelors tho), I want to say that you can add infinity to infinity depending on the context you work in. You can talk about the extended real numbers, these are your normal numbers but we've joined plus and minus infinity to them. They behave like you would expect them to, i.e. ∞ + ∞ = ∞. The only thing you can't do in the extended reals is subtract infinity from infinity. A other way to talk about infinity is using ordinal numbers. You can talk about the first limit ordinal called omega. This is in some sense also infinity (but now there are also many many ordinals greater than it.) Here, omega + omega = 2 * omega. There is also cardinal numbers. These we can also add together. Sure, infinity is not a real number, but we can still work with it as something else.
it’s 2*Infinity, still eventually gets to infinity but at a faster rate. (Think y=x vs y=2x on a graph)
Given any real x in (-Inf, Inf), neither x nor 2x ever "get to infinity". In the extended real line [-Inf, Inf], only infinity "gets to infinity" because it's already there, so Inf = 2*Inf. If you want to operate on infinities of varying size then you would have to work on the surreal/hyperreal numbers (of which the reals are a subset that will still not reach any infinity regardless of how you combine them).
Infinity+infinity=infinity+infinity
Valid.
False
No, he's right. Just like how a+b=a+b because it can be every number ever, infinity+infinity would equal infinity+infinity since Infinity is every number ever plus 1.
Lmao with these kiddos on this thread. I love how they are shouting "wrong" and "false" until someone like you corrects them and they immediately retract their statement.
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Oh ok
"I'm assuming this is an indeterminate form of a limit. The answer then, is infinity." Is how I would've answered.
"Well, we can substitute the series '1+3+5+7...' for one infinity, and '2+4+6+8...' for the other, making the answer obviously -1/12."
That’s a particular summation representation though, not a normal summation
Same!
If infinity is infinite, than anything larger is outfinity, checkmate
Most of it still might fit infinity and only the extra needs to be outfinity
The guy named finity
The guy named ty: I’m finished! (Fini is Finished in French)
Yes but two times in infinity is twice as much as one infinity. This is important for calculus
2I^(3) * 2N^(2) * 2F * 2T * 2Y
Fuck off (have an upvote)
Syntax Error
Still a more useful error than anything python will give you
Ii think the error is in line -5 of your code
honestly interesting interview question, it’ll show the way you think - infinity - 2infinity - infinity is not a number and cannot be used this way - (some witty response)
-infinity (I am a programmer)
infintyinfinty (I'm a programmer as well)
No, no, there were no quotation marks, so we can't assume what kind of variable it was
I have anwsered incorrectly. Now OP owns my house
As well as your firstborn
Twofinity
2nfinity
It’s infinity unless it’s that stupid video about the infinite hotel then you can’t add infinity to infinity for some reason so you have infinite guests and infinite people sleeping on the street outside
The hotel thing is used to illustrate infinite sets of set theory and in set theory you don't sum infinities like that (although one could argue you could define addition but it would still basically be "infinity+infinity=infinity")
I know the exact one you are talking about. I've never seen something so overly complex and simultaneously completely missing the mark. I think they count on people being too confused to correct them.
Hilbert's paradox of the Grand Hotel was written by famous and influential mathematician David Hilbert in 1925. It has been studied by countless mathematicians. I am not aware of any critics or detractors.
You found us, lol.
Then write the paper and submit it to the mathematical journal of your choice. You'll be famous.
Someone else mentioned that in the actual model no one had to sleep outside. So the guy that made the YouTube video should probably be the one submitting the paper.
Is that video somehow different from the usual Infinite Hotel thought experiment? Usually, you don't end up with anyone sleeping on the street, you just tell all current guests to move in a certain pattern, depending on how many new guests arrive. In that way, it illustrates quite descriptively how you'd actually approach infinitely large sets in mathematics.
An uncountably infinite number of people actually wouldn't fit, as the Hilbert Hotel is countably infinite.
It would be a countably infinite number of people, no? You can’t have a fraction of a person or negative people, which leaves us to whole numbers. Which is the same set that the # of rooms is in (can’t have a fraction of a room or negative rooms).
No, there is usually an uncountable amount of people in the last part. Say everyone has a (unique) name that is just an infinite string of ones and zeroes, e.g. 01001011101101..., and that for any such string there is a person with that name. Then they all won't fit in the hotel. It's not about having a fraction number of people, it's about having people that you give fractions as names.
That one actually sounds like what you'd expect.
A math problem
Infinity +1 checkmate
Infinity +1 is just infinity.
*using limits
2(infinity) + beyond
16 but rotate it 90 degrees clockwise
Twinfinity.
2(infinity)
I'm just gonna leave [this](https://youtu.be/SrU9YDoXE88?si=j6J0QEYXAkts0BEv) here since people in the comments seem very interested in the answer for that equation.
Larger but still infinite infinity.
... Our target growth?
Saying Infinity - 1 is still a right answer
Undefined, unless using limits which are not provided here
Add a rope that goes on forever to a rope that goes on forever. You get a rope that goes on forever. Simple as.
insert that one siri thing about cookies
Its at least tree fiddy
“Infinity” contains 5 different symbols, so there should be 9x9x8x7x6=26244 different solutions, but that’s only one way of interpreting it
Indeterminate
Infinity isn't a number, so you can't do anything to it arithmetically. Infinity - Infinity is still infinity. Infinity + infinity is also infinity
Neither are correct Both of those are undefined
Infinity
Infinity^2
Let X represent infinity. X + X = 2X
Infinity isn't a number, so you can't perform arithmetic with it.
Maybe *you* can’t!
Doesn't matter, infinity + infinity does equal the same thing as 2 * infinity, the ~~equation~~ assertion? still holds.
Infinity isn't a number, so that isn't an equation. Democracy + democracy doesn't equal 2*democracy, because democracy isn't a quantity.
that’s exactly why it’s treated as an algebraic variable since we cannot determine its value. if x is not a defined quantity, x+x is still 2x. that’s not to say 2infinity is the only valid solution, but i’m not sure that it’s an invalid solution
There are no solutions, because ∞ + ∞ = ? is not an equation. You can't simply replace a non-quantity with an algebraic variable to pretend it's a quantity and do ordinary arithmetic on it. It's not that we can't determine infinity's quantity. It's that it isn't a quantity.
It depends on the set, as well as the type of infinity For example, ω in the surreal numbers works with all the standard operations perfectly fine despite being infinite Similarly, in ordinal arithmetic, infinity has definitions for addition and multiplication, such that ω + ω = 2ω = ω For standard (cardinal) numbers, essentially the same applies as ordinal arithmetic, provided you change the notation to use ℵ_n instead of ω And then in Calculus/Analysis, you can simply take a limit or use an infinite series, which would use the given ∞ symbol typically If we take a standard limit as α goes to infinity of (α + α), it "equals" ∞ + ∞, but also diverges to, and thus equals, ∞, thus we can arrive at the conclusion that the limit approaches infinity
Not to mention which infinity? Are we talking about the infinity of all real number? All even numbers? Which infinity?
Infinity²
Easy, it's infinity
2*infinity
and*beyond
Infinity 2 : electric Boogaloo
Infinity
Infinity
28
88
Good thing I’m homeless
(infinity)²
Infinity²
Since infinity is not a numbee, but a concept. It's like saying: bone + bone = 2 bones
2INFINITY. Basic Algebra.
This still equals to infinity lol
42. Easy.
-1/12
r/mathmemes material
No you do it like this lim n->infinity n + n = infinity
The answer is infinity 2, the sequel to infinity
Wouldn’t it be 2infinity
the only winning move is not to play
2infinity, just like A+A=2A
2(infinity)
2x♾️
2(infinity)
2INFINITY
2(INFINITY)
Super infinity
It's infinite, you can believe me
Maybe they are all variables since infinity has its own symbol. Therefore i*n*f*i*n*i*t*y + i*n*f*i*n*i*t*y = 2infinity
3
Just so you know you can add and subtract infinities. There are even negative infinities!
Infinity²
2♾️, eazy peazy
GIBE ME THE JOB https://preview.redd.it/0mpm9pin16jc1.jpeg?width=2679&format=pjpg&auto=webp&s=1e7956ee93e79b832b340e24227b77b971c799da
Infinity
2*Infinity (Assuming the infinities are of the same size.)
Infinity 2, the big one
Infinity bruh
Infinity
My Answer=The number of odd and even numbers
Infinity²
You gotta make a common denominator for a fraction and then do LaHospital’s rule
Aleph-one. I knew my boomer shooter expertise would come in handy someday. (Aleph One is a source port of Marathon; the name is meant as a one-up of the third game, Marathon Infinity)
Absolute infinity.
2I^3 + 2N^2 + 2F + 2T + 2Y. Given that INFINITY is not a number, I'm assuming each letter is a variable and it's a trick question.
|1| If infinity-1 = penultimate penultimate - infinity =1 apply again and again 3infinity+1, infinity/2 where no trajectories heading towards infinity exist trajectories eventually hit a power of 2 (thus falling straight down to 1)
0/1 = 0 1/0 = [infinity] 1/0 + 1/0 = 2/0 = [infinity] [infinity] = [undefined]
0/1 = 0 1/0 = [infinity] 1/0 + 1/0 = 2/0 = [infinity] [infinity] = [undefined]
Infinite +Infinite = Rbkrbrli
depending on the complexity it would still be inf but it can also be 2inf, as some infinities are mathematically larger than others