Actually the twenties are still worth more, as it’s been proven by Cantor that some infinities are greater than others. Makes no logical sense but it’s mathematically true
In theory yes, but mathematically as numbers of $1 vs $20 bills approach infinity, the $20 bill is still worth 20 times more. And infinity isn’t a static state, but a state of constant growth. In theory yes but mathematically no it’s still worth 20x
But because one infinity is 20x larger it is still not the same. They will achieve the same values but never at the same point and thus not equal. So no in this case they are not the same. If I had infinite 1 pound weights and infinite 2 lbs weights the scale would tip towards the 2lbs weights
$20 is more because you can divide by infinity and then be left with $20 in one and $1 in the other. This is how qualities of infinities can be arranged in order of greatest to smallest.
Actually by default the infinite $20 is still more because even at an infinite number the $20 will have more worth unless there are far more $1 than $20 but because they’re infinite they never run out so the $1 cannot be less than $20.
There’s also an equal amount of natural numbers (ℕ) and rational numbers (ℚ). These sets are all know as denumerable / countable and are equivalent infinities.
Regardless of devalue it’s not completely true. In math you encounter different sizes of infinity all the time and they are relevant in many derivations
Actually it's not just like there is an infinite set of numbers between 1 and 2 but a larger set of infinite numbers between 2 and 4. Infinities do have relative sizes.
$20 bills would expand towards infinity faster than $1 bills so it’s technically not “equal.” Imagine you had two trees, one infinitely grew $1 bills, the other grew $20 bills. Which is more valuable? Yes, they’d both grow forever but the $20 tree is worth more in the moment.
Not true. Infinity is not a number. There are values larger than it also classified as infinity. In this case, one stack of money would be a factor of twenty more valuable than the other
They are the same size of infinity. You can prove it by finding a bijection between the natural numbers {1, 2, 3, ...} and 20’s {20, 40, 60, ...} it’s easy. F(n) = 20n, it’s a bijection, so they’re the same size infinity.
Actually as long as you don’t completely blow up the economy with how much you spend it would change anything, you’re still the only one with that amount, other people still want it
Yup! Infinite twenties and infinite ones are completely the same! Since you can create a bijection between both functions, we know that there exist the same amount of elements. In math words, we know each set have an equivalent cardinality, ℵ₀.
Actually the infinite amount of $20 dollar bills would be more, an ‘infinite’ amount of something is hard to comprehend but some infinities are larger than others
You wouldn't devalue it or cause inflation if you just used it as a normal human and lived an average live. If it's a money portal then you just gotta keep it secret and you're good
Infinite $20s would still be worth more, because each individual bill is worth 20x the $1 bills, which would mean that even though they are infinite, the $20s would still be more valuable
I told this to my family and I wound up arguing with my dad and sister four half an hour because they both said infinite 20s would be worth more. They still think I’m wrong...
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