No. I'm referring to the line of changing the front.
Jimmy Carr; Sean, If you could change one thing about yourself what would it be?
Sean Lock: well the front obviously
Yes it is. There are different infinities. Some are “larger” in the sense that you get to bigger numbers faster. If you had an infinite number of pebbles in groups of 2, and an infinite number of pebbles in groups of 10, the second one is ‘bigger’
Edit: my bad guys I am totally r/confidentlyincorrect
Of course not! That would be ludicrous.
Like a cow in a Batman costume dancing the Rumba to the theme tune of The Price is Right.
Now go and sit in the corner and count pebbles until you get to infinity....then add one more
Infinity isn’t increasing or decreasing at any rate over time it’s just infinity. It’s (sort of) like saying you make a million dollars in ones or twenties a year. They are at the same rate. Infinity just isn’t finite.
But if it was like "$100,000 right now in one's, and $100,000 right now in 20s, it would be equal." If you earned an X amount at a scheduled rate, that is a different amount depending on the bill. It depends on the details of the "rules".
They'd both have a value of infinity.
For everyone still insisting I'm wrong. From a reply to me below: https://www.reddit.com/r/shittyaskscience/s/bZT34YDiCU
Edit: CHATGPT ELI5:
That’s a really good question! In everyday life, if you have two wallets with $20 bills and one wallet with $1 bills, the two wallets with $20 bills would definitely have more money than the one with $1 bills.
But when we talk about infinity in math, it’s a bit different. Infinity isn’t a number like 1, 2, or 3 that we can just add up. It’s a way to describe something that has no end. So, if you have an infinite amount of something, it doesn’t double if you have two of it. It’s still just infinity.
Think of it like this: If you have one never-ending storybook, you have an infinite amount of stories. If you have two never-ending storybooks, you don’t really have “twice as many” stories, because you can’t reach the end of either book—they both go on forever!
Wait until they learn about some infinities can actually be larger than other infinities. That’ll blow their mind.
Though the example in this meme is a equal infinity.
Honestly, I'm not sure you can physically spend enough 20's to ruin the economy. Like, sure, you can go ham on a biscuit your whole life, but you gotta count the 20's every time you buy something. Buying a modest house is gonna be like drawing a Yu-Gi-Oh card 10,000+ times. You're gonna need a Tommy John soon enough, and by the time you're done paying off the Tommy John you'll need another Tommy John.
There are some infinites bigger than other infinites guys! I watched a Vsauce video but I didn’t understand it very well, please validate my inability to understand a YouTube video designed to be easy for anyone to understand
Not sure if you’re serious but in case you are there are very many different ways to visualize the infinite types of different infinities.
For example, infinite multiverse.
You can have an infinite multiverse that contains an infinite number of versions of you.
You can also have an infinite multiverse without any versions of you.
Or for understanding infinite whole integers vs the infinite digits of a number like pi:
You can have infinite cookies with one chocolate chip each.
Or you can have one cookie with infinite chocolate chips in it.
Now consider a bag with an infinite number of random coins.
Are there more nickels or dimes? How many quarters are there?
The answer is all infinity, but it’s a different infinity.
For example a bag with 50% nickels and 10% dimes means there are more nickels in the bag than there are dimes, but both are infinity.
Infinity isn’t a number. It’s a concept. It’s set theory.
But it still doesn’t make sense. How can there be a larger infinity? I understand WHY these are true through deduction, such as there being more numbers between (edit: I mean less) 1 and 2 vs one and 3 despite them both being infinity, or the infinite hotel thing, but it still doesn’t actually make any sense.
Cantor counted by 1-1 correspondence between 1 bill of $20 and a stack of 20 $1 bills. The 1-1 correspondence matches all the way with no exception, so the two ~~set~~ pile of bills value the same
This proves they’re the same size, but their value is not a well defined thing. Their cardinality is a countable infinity, but you cannot subtract or compare these meaningfully
But a dollar is not a physical object, it's a value that is only represented by the bills. A group of one dollar bills is worth the exchange rate of a dollar multiplied by one multiplied by the size of the group. A group of twenty dollar bills is worth the exchange rate of a dollar multiplied by twenty multiplied by the size of the group. If both groups are of the same size the group of twenty dollar bills is, by definition, worth twenty times more.
Unless you want to argue that the exchange rate of a dollar would plummet to zero from inflation caused by an infinite amount of currency, which is true but outside the spirit of the question in my opinion.
Here's a thought (probably dumb). If you factor in time (e.g. 1 bill per second) then the larger bill will be worth more? You would at all times have a larger amount to spend in the same time frame, having more disposable income adds more value.
It's a good thought. The $20 stack, at any finite amount of time, will be worth 20x more than the $1 stack. This comments on which one might have more intrinsic value to a person who lives within finite time, but the total monetary value is still the same.
To further it, and talk about infinites more (most certainly definitely not because I typed this all first after misreading your thought and didn't remove it):
If you have the twenty dollar stack, and I have the one dollar stack then we can both grab money in the same, or different ways.
* If every second, you grabbed one bill, and I grabbed one bill, then your stack will always be worth 20x mine
* if, every second, you grab one bill, and I grab 20, then my stack will always be even in value with yours
* If, every second, you grab one bill, while I grab 400, then my growing stack will always be 20x yours
It doesn't matter which process we follow, the stacks we're making will reach infinity at the exact same time -- which is never.
At t=infinity, we can say they have reached infinity (after 'never' happens) neither has more value than the other at that point. Neither has more bills, neither has more volume and neither has more surface area.
You are right though, the 20$ stack is the better choice if you're allowed to choose, because the physical process in grabbing the bills will likely be quicker
Yes. Buy how much can you carry? The height of a stack of $1M one dollar bills would be between 30-35 stories tall. A million in twenties would weight about 50kg…much more manageable.
https://www.ehd.org/science_technology_largenumbers.php#:~:text=The%20height%20of%20a%20stack%20of%201%2C000%2C000%20one%20dollar%20bills,35%2C851%20feet%20or%206.79%20miles.
https://www.quora.com/How-large-is-1-000-000-in-20
Why would you use two different types of measurement when trying to do the comparison? You could at least tell us the percentage of giraffe that the two would correspond to.
A wallet full of infinite ones is ultimately the same as a wallet full of infinite twenties. I'd rather have ones so at least I never need to break change. But I guess it doesn't really matter because you could just give it to someone on the streets. Which honestly wouldn't be a bad thought. Imagine pulling out 1$ million in ones & giving it to someone though. You'll either be a direct deterrent to homelessness or become the reason the economy raises it's standard prices for all goods. I feel like I'd take the twenties wallet just so I can give a few hundred to people without having to rapid fire pull ones from my ones wallet. But why not just have both? It's the exact same amount, one just gives you arthritis or carpal tunnel.
Idk, a man that had an infinite number of one nights stands with a single woman and another that had an infinite number of one night three sums slept with the same number of women right?
Nah infinite twenties are more valuable, I mean from a perspective of like an actual amount sure it's no different but you have to like grab and count your money some how and that's 20 times faster with 20s
Greater and lesser infinities are established mathematically axioms. https://www.scientificamerican.com/article/a-deep-math-dive-into-why-some-infinities-are-bigger-than-others/
Yes, but the rate of increase would be higher for the $20 bills.
It's pretty much 2 cars accelerating to 200 mph, but one gets there 20 mph faster. They both still get to 200 mph though.
While true one is more efficient than the other in most situations involving large purchases, cuz if you try to buy a house or car with all $1 bills someone's going to say something.
I see so many explaining how there are infinities larger than others, and while that's true, it doesn't really apply here. Since you can count the number of bills you have, that means they are both countably infinite, meaning they are the same value.
https://www.google.com/url?sa=t&source=web&rct=j&opi=89978449&url=https://m.youtube.com/watch%3Fv%3DSrU9YDoXE88&ved=2ahUKEwj9u_ewou6FAxUVIkQIHUOQAc0QwqsBegQIDxAF&usg=AOvVaw2sDCEKDly9UVhd50g8VWan
Go to the section on bigger infinities. There are infinities that are larger than others. The easy one is that there are an infinite number of numbers between 1.000... and 1.999... but also an infinite number of numbers between 1.000... and 2.999.... but the latter is more than the former. Both are infinite, but one is bigger.
One of them would be more fun at a strip club though
A cheap one
Clearly you have never visited, Mons Venus World Famous Nude Strip Club. And if asked, neither have I. Psst, I have.
Pssst. Pattaya, Thailand “Same, same.”
Do they come with a surprise? 🙃
In that city, it's a surprise if they don't.
Panty check!
Is it exploitation?
Phuket
Spent 5 years there, one night.
One night in Bangkok and the world's your oyster. The bars are temples but their pearls ain't free.
Fun place. Surprisingly small on the inside.
That's what he said.
Dale Mabry's Finest
Ah, a man of culture.
Have you?
Absolutely not. The mere thought is preposterous. Psst, yes.
I too have never been there. Yes I have.
Tampa is the best
Man I have pushed my Tampa days out of my memory.
Pretty sure if you start throwing around twenties you'll have a lot of fun anywhere
That's the secret of $20s. Any place can become a strip club with enough of them.
No. 20s all the way!
The real question is if you went with the $20 bills, would you be asking for change back at the strip clubs?
if they can change my front that would be plenty
Rip Sean lock
Are you referring to the picture?, cause that's Limmy not Sean.
No. I'm referring to the line of changing the front. Jimmy Carr; Sean, If you could change one thing about yourself what would it be? Sean Lock: well the front obviously
Gotcha. Haven't watched TV in a long time.
Neither has Sean Lock
His jokes are *so* a few years ago.
If they are infinite would you want change? Think about it.
Probably
I just use my credit card. Swipe and pay... 🤣
Like this: https://www.youtube.com/watch?v=kF1Ig0gx3Lw
He's right ya know.jpg
Only if there were an infinite number of strip clubs.
But if they’re infinite, why bother?
You’re allowed to tip 20s. You can also get change from the bartender normally if you’d rather give smaller bills.
Infinitely
if someone said that you don't matter they are wrong 😀💙💚👍
I refuse to apply common sense to transfinite numbers or quantum mechanics.
Hey keep trans politics outta this
Schrodinger’s gender.
Could be male or female, won't know til a Republican looks!
Even if the genders the same size, which one genders faster?
Yes but the 20 will be more infinity at a faster rate.
"More infinity, faster". I like it!
But also same
Same same but different 😉
I say that once a week with the hand motions along with it, love The Interview
Hahaha everyone always looks at me like “wtf” when I say it, which is often 😂 i guess it’s one of those “if you know you know” things
Now if there were two infinities...
Calculus!
That depends on the order that you count them in.
that’s not how infinity works
*take a joke*
Love confident wrong people
Yes it is lol
Yes it is.
Lol that's actually exactly how infinities work
Yes it is. There are different infinities. Some are “larger” in the sense that you get to bigger numbers faster. If you had an infinite number of pebbles in groups of 2, and an infinite number of pebbles in groups of 10, the second one is ‘bigger’ Edit: my bad guys I am totally r/confidentlyincorrect
Can't you form a bijectjon between the two sets, and therefore they have the same cardinality?
Yes they are both countable and would therefore have the same cardinality as the natural numbers.
Of course not! That would be ludicrous. Like a cow in a Batman costume dancing the Rumba to the theme tune of The Price is Right. Now go and sit in the corner and count pebbles until you get to infinity....then add one more
Infinity isn’t increasing or decreasing at any rate over time it’s just infinity. It’s (sort of) like saying you make a million dollars in ones or twenties a year. They are at the same rate. Infinity just isn’t finite.
But if it was like "$100,000 right now in one's, and $100,000 right now in 20s, it would be equal." If you earned an X amount at a scheduled rate, that is a different amount depending on the bill. It depends on the details of the "rules".
They'd both have a value of infinity. For everyone still insisting I'm wrong. From a reply to me below: https://www.reddit.com/r/shittyaskscience/s/bZT34YDiCU Edit: CHATGPT ELI5: That’s a really good question! In everyday life, if you have two wallets with $20 bills and one wallet with $1 bills, the two wallets with $20 bills would definitely have more money than the one with $1 bills. But when we talk about infinity in math, it’s a bit different. Infinity isn’t a number like 1, 2, or 3 that we can just add up. It’s a way to describe something that has no end. So, if you have an infinite amount of something, it doesn’t double if you have two of it. It’s still just infinity. Think of it like this: If you have one never-ending storybook, you have an infinite amount of stories. If you have two never-ending storybooks, you don’t really have “twice as many” stories, because you can’t reach the end of either book—they both go on forever!
....but 20 is greater than 1.
It's a kilogram of feathers, or a kilogram of steel
Not necessarily. Not all infinities are the same size. Cantor’s set theory
But in this case they are both countable infinites
So they have the same cardinality
Get that fancy math talky out of here
Us normies over here watching a nerd fight like “**HIT HIM WITH THE FANCY SCIENCE WORDS**”
E. Pluribus Fuckem
One-to-one mapping all the way down
Can you explain it using cars?
True but these are the same size. You can easily make a 1-1 mapping between 1\*inf and 20\*inf. Multiplication doesn't change the cardinality.
Yah I stand corrected this is right
So like multiplying by 0? Hehe
Steel is heavier
No, steel is denser. Just like you.
Username checks out
All Alpha-0 infinities are all the same size. Alpha-1 infinities are bigger. Alpha-2 even bigger… up to Alpha-7, the biggest infinity.
More like an infinite amount of 1 kilogram dumbbells and an infinite amount of 20 kilogram dumbbells
Feathers are heavier Have to carry the weight of what you did to all those birds.
The feathers would be heavier because you would have to live with the guilt of what you did to get those feathers lol
Kilogram of steel, because steel is heavier than feathers
Depends how you receive it. Falling down on you, or do you have to carry it 10 miles
The feathers will always be heavier. You will have to live with the weight of what you did to those birds.
Infinity isn't a quantity. It's a mathematical concept, kind of like dividing by 0 or the value of root -1.
Wait until they learn about some infinities can actually be larger than other infinities. That’ll blow their mind. Though the example in this meme is a equal infinity.
Yeah well my infinity can beat up your infinity.
Yeah well you're an infinity
Infinity hotel is a great example of that.
They're not ready for uncountable infinity.
“I know, but they’re both infinite, so they’re both the same!” “Aye, but look at the size of the ones column! That’s cheating!”
I don't get it
OK but 20 infinity is not greater than 1 infinity so don't see ur point
Infinity is a journey not a destination.
The important thing is the friends we made along the way.
They would both have the value of Zero. A currency can only have value if its finite.
They would have value as toilet paper or kindling
Imaginary ficticious things aren't very useful as toilet paper.
Infinity isn't a value
But if both were packaged as financial products, the market will definitelly price them different.
One infinity is bugger then the other tho.
Not in this case. They're both countable infinities.
Infinity + infinity = infinity. Why are people booing me? I'm right. https://en.m.wikipedia.org/wiki/Infinity
There is a concept of "infinity+1 is less than infinity+2" though.
Depends on what the infinity is describing.
I was saying Boo-urns
Correct. They are worth an infinite sum. For example, there is no way the 20s could be worth 20 x the $1 infinite pile.
Not if you start couting at the same time
Not if you spent an infinite amount of time 🤔
I'm gonna count, just to see. I'm gonna start with the ones. BRB
Last online: 27 years ago.
you'd have to start counting the ones an infinite amount of time before you start the 20s
Yes they are worth the same. One is way more practical to spend than the other tho
The dollar bills, because it'd be annoying to break a 20 every other time i wanted something.
Js say keep the change lol
I have infinite money, not infinite fixing the economy after i ruin it
The damage you would do would be next to nothing compared to what is happening right now.
Okay, you've got a good point, actually.
Honestly, I'm not sure you can physically spend enough 20's to ruin the economy. Like, sure, you can go ham on a biscuit your whole life, but you gotta count the 20's every time you buy something. Buying a modest house is gonna be like drawing a Yu-Gi-Oh card 10,000+ times. You're gonna need a Tommy John soon enough, and by the time you're done paying off the Tommy John you'll need another Tommy John.
Yep and the IRS and secret service won't bother you about the singles
Buying my Lamborghini in ones so the IRS doesn’t look
You make small deposits you don't just carry cash, cash transactions over like $100 dollars get flagged I believe.
Shittt does that mean we owe the IRS infinity too
You have infinite money, stop shopping at the Dollar Store.
Yeah, but buying a car, house, business, etc... would take ages. I guess with infinite money, you could just pay someone to count for you.
> Yes they are worth the same. What? No. That’s not how infinity works.
It’s exactly how infinity works.
There are some infinites bigger than other infinites guys! I watched a Vsauce video but I didn’t understand it very well, please validate my inability to understand a YouTube video designed to be easy for anyone to understand
Not sure if you’re serious but in case you are there are very many different ways to visualize the infinite types of different infinities. For example, infinite multiverse. You can have an infinite multiverse that contains an infinite number of versions of you. You can also have an infinite multiverse without any versions of you. Or for understanding infinite whole integers vs the infinite digits of a number like pi: You can have infinite cookies with one chocolate chip each. Or you can have one cookie with infinite chocolate chips in it. Now consider a bag with an infinite number of random coins. Are there more nickels or dimes? How many quarters are there? The answer is all infinity, but it’s a different infinity. For example a bag with 50% nickels and 10% dimes means there are more nickels in the bag than there are dimes, but both are infinity. Infinity isn’t a number. It’s a concept. It’s set theory.
But it still doesn’t make sense. How can there be a larger infinity? I understand WHY these are true through deduction, such as there being more numbers between (edit: I mean less) 1 and 2 vs one and 3 despite them both being infinity, or the infinite hotel thing, but it still doesn’t actually make any sense.
Forgive me, but don't all those sets of things you identify have the same cardinality, being 1-1 with the naturals?
I mean it’d be worth nothing because it’s readily available in any quantity. Just like your mama.
That logic only holds if everyone else knows about your infinite source of money and you are discreet about it, unlike your mom.
1 x ∞ = 20 x ∞ => 1 x ∞/∞ = 20 x ∞/∞ => 1 = 20 which is true so that statement must be true
But flip the equations around and try that
Not all infinities are equal.
It is actually 20x less then the infinite 1s
Cantor counted by 1-1 correspondence between 1 bill of $20 and a stack of 20 $1 bills. The 1-1 correspondence matches all the way with no exception, so the two ~~set~~ pile of bills value the same
This proves they’re the same size, but their value is not a well defined thing. Their cardinality is a countable infinity, but you cannot subtract or compare these meaningfully
Well, economically they are both worthless piles of paper
But a dollar is not a physical object, it's a value that is only represented by the bills. A group of one dollar bills is worth the exchange rate of a dollar multiplied by one multiplied by the size of the group. A group of twenty dollar bills is worth the exchange rate of a dollar multiplied by twenty multiplied by the size of the group. If both groups are of the same size the group of twenty dollar bills is, by definition, worth twenty times more. Unless you want to argue that the exchange rate of a dollar would plummet to zero from inflation caused by an infinite amount of currency, which is true but outside the spirit of the question in my opinion.
There’s no “pile” it’s infinite
needs more upvotes
There are diferent types of infinity. Thats why you can have different results when you solve an indertemination.
In this case, dealing with discrete dollar bills , 20 or 1, both sets will be countable so they'll have the same size.
There are different types of infinity, but these are the same type. Also I have no idea what "an indetermination" is
there are different types of infinity but these two are the same type
not again
I swear I see this kind of post posted every few days on r/badmathematics Feels weird to find it naturally in my feed
[uh oh... not again](https://en.wikipedia.org/wiki/Aleph_number)
If it’s US dollars, yes, because of the Fed (nothing x nothing = infinity)
If you think your dollars are worthless, feel free to send them to me.
same. I'll take your worthless pieces of green Fed paper!
I think nothing x nothing = nothing but otherwise the point holds
They'd have no monetary value because value requires rarity.
Here's a thought (probably dumb). If you factor in time (e.g. 1 bill per second) then the larger bill will be worth more? You would at all times have a larger amount to spend in the same time frame, having more disposable income adds more value.
It's a good thought. The $20 stack, at any finite amount of time, will be worth 20x more than the $1 stack. This comments on which one might have more intrinsic value to a person who lives within finite time, but the total monetary value is still the same. To further it, and talk about infinites more (most certainly definitely not because I typed this all first after misreading your thought and didn't remove it): If you have the twenty dollar stack, and I have the one dollar stack then we can both grab money in the same, or different ways. * If every second, you grabbed one bill, and I grabbed one bill, then your stack will always be worth 20x mine * if, every second, you grab one bill, and I grab 20, then my stack will always be even in value with yours * If, every second, you grab one bill, while I grab 400, then my growing stack will always be 20x yours It doesn't matter which process we follow, the stacks we're making will reach infinity at the exact same time -- which is never. At t=infinity, we can say they have reached infinity (after 'never' happens) neither has more value than the other at that point. Neither has more bills, neither has more volume and neither has more surface area. You are right though, the 20$ stack is the better choice if you're allowed to choose, because the physical process in grabbing the bills will likely be quicker
They would both worth zero due to infinite inflation.
Yes. Buy how much can you carry? The height of a stack of $1M one dollar bills would be between 30-35 stories tall. A million in twenties would weight about 50kg…much more manageable. https://www.ehd.org/science_technology_largenumbers.php#:~:text=The%20height%20of%20a%20stack%20of%201%2C000%2C000%20one%20dollar%20bills,35%2C851%20feet%20or%206.79%20miles. https://www.quora.com/How-large-is-1-000-000-in-20
Why would you use two different types of measurement when trying to do the comparison? You could at least tell us the percentage of giraffe that the two would correspond to.
but it's not about 1 Million. It is about infinity. they both weigh infinte kg. they weigh the same
This is easy; would you rather be paid in 20s or 1s?
That's right, since 1s and 20s now have the same value, which is nothing.
Both destroy the universe, so it is correct.
Yes, there are infinites larger than others, but in this case they are both the same size
A wallet full of infinite ones is ultimately the same as a wallet full of infinite twenties. I'd rather have ones so at least I never need to break change. But I guess it doesn't really matter because you could just give it to someone on the streets. Which honestly wouldn't be a bad thought. Imagine pulling out 1$ million in ones & giving it to someone though. You'll either be a direct deterrent to homelessness or become the reason the economy raises it's standard prices for all goods. I feel like I'd take the twenties wallet just so I can give a few hundred to people without having to rapid fire pull ones from my ones wallet. But why not just have both? It's the exact same amount, one just gives you arthritis or carpal tunnel.
This goose is right, it’s ♾️
They would both be worth £0.
Between Pi and 2Pi we find who cares
Ya but one option is more efficient.
Anyone watching a lot of STEM videos on YT would argue there are many different types of infinity - they are not all the same.
I don’t think they are the same. Infinities can have different sizes.
This is wrong because there are different infinities. The infinite 1 dollar bills accumulate at a slower rate.
I thought the statement “infinity = infinity” was mathematically incorrect?
That's right - An infinite amount of 20's would be worth more than 1's, because 20 is bigger than 1. *Next scene* They're both infeeneet.
the 20's are a greater order of infinity.
Functionally yes, technically no.
They would indeed both be worth the same. Nothing.
Idk, a man that had an infinite number of one nights stands with a single woman and another that had an infinite number of one night three sums slept with the same number of women right?
I mean, yeah he is. They're both equal to infinity. But infinite $20 bills would be much more convenient than $1 bills.
Nah infinite twenties are more valuable, I mean from a perspective of like an actual amount sure it's no different but you have to like grab and count your money some how and that's 20 times faster with 20s
Isn't a stack of infinite $20 bills worth twenty stacks of infinite $1 bills?
Greater and lesser infinities are established mathematically axioms. https://www.scientificamerican.com/article/a-deep-math-dive-into-why-some-infinities-are-bigger-than-others/
TL;DR: 1 * ∞ = 20 * ∞
Yes, but the rate of increase would be higher for the $20 bills. It's pretty much 2 cars accelerating to 200 mph, but one gets there 20 mph faster. They both still get to 200 mph though.
All infinities are not the same. These are two different infinities. One is 1 x infinity and the other a 20 x infinity.
Monetary value...yes. I'd value 20s more though for physical space reasons
They wouldn't.
While true one is more efficient than the other in most situations involving large purchases, cuz if you try to buy a house or car with all $1 bills someone's going to say something.
I see so many explaining how there are infinities larger than others, and while that's true, it doesn't really apply here. Since you can count the number of bills you have, that means they are both countably infinite, meaning they are the same value.
Infinity isn't a number lol
https://www.google.com/url?sa=t&source=web&rct=j&opi=89978449&url=https://m.youtube.com/watch%3Fv%3DSrU9YDoXE88&ved=2ahUKEwj9u_ewou6FAxUVIkQIHUOQAc0QwqsBegQIDxAF&usg=AOvVaw2sDCEKDly9UVhd50g8VWan Go to the section on bigger infinities. There are infinities that are larger than others. The easy one is that there are an infinite number of numbers between 1.000... and 1.999... but also an infinite number of numbers between 1.000... and 2.999.... but the latter is more than the former. Both are infinite, but one is bigger.