I don't know, I feel like throwing $50's might make you pretty popular. But in the real world they would have the same value, as infinity is a concept, and the total value would be the amount of cash you spend and equal either way. Now if you "summoned" your infinite cash all at once, the universe as we understand it (or at least the earth) is finite space. Thus the total volume of bills you could have on hand at any time is limited, in which case the $50's would have a higher value for the space they took up. Mathematically not all "infinity" is the same size, such as scalable infinity, so one could technically be larger depending on the type of infinity. In the end though, the ones would make the strip club more low key without drawing attention and be more useful for small purchases like vending machines and parking, while the 50's would make large purchases easier but many machines and retailers wouldn't except them. Eventually you'd run out of new serial numbers and be caught.
Yes. There are larger infinities and smaller infinities. For example;
The infinity between one and two is smaller than the infinity between one and a hundred, even though they're both infinite.
There was a part were one of the characters was reading on the other's funeral and they said something like " there are some infinities that are bigger than other infinities, like the infinity between 0 and 2 in comparison to the infinity between 0 and 1. Thank you for giving me an infinity even if it was a short one" or sth like that
Some infinities are larger than other infinities. Thus, the 50 dollar infinity would be worth more if you stuck a hand into it and pulled a fistful out as opposed to the 1 dollar infinity.
Many of you have said something right, followed by something wrong. Value doesn't really make sense when talking about infinity. There are certainly different types of infinities, and there are an uncountably infinite number of real (or complex) numbers between any two numbers, but there are not more uncountably infinite numbers between a different set of two numbers that are further apart on a countable number line. This is because infinity is not a number and is not subject to normal mathematical operations, e.g. 50 times infinity is still infinity, and the number of real numbers between 1 and 2 is the same level of infinity as the number of real numbers between 5 and 5 million. Hope that clears something up.
But, I'd argue it would be more productive to have an infinity of 50 bills than 1 dollar bills. Even if you at one point could pull 200 bills from that infinity, I would only need to pull 4 bills to match you. It's less of an issue of infinite as a value, but rather the value of the contents of the infinity. I'd get a lot more out of the fifty dollars than the one dollar infinity in a shorter time. It's an economic issue at that point.
Perhaps so. But that is true regardless if you are talking about $50 or $1M, it is not special to infinity, and does not actually reflect upon the value. If you had an infinite amount of time, would you rather take naps that lasted 12 years or 62 quadrillion seconds? You get one done quicker, but it really doesn't matter from your point of view.
For both, you'd still have infinite amounts of money. Choosing 1 bills would be better, because certain places don't do change for large bills. Besides, 50$ bills look suspicious. It really depends on convience.
It's costs 4.9 cents to make a $1 bill, valuing the $1 infinite at "$0.951 X n". A $50 bill costs 10.5 cents to make, valuing the infinite $50 at "49.995 X n". So technically the infinite $50 would be "valued" higher, as long as we imagine n would always be increasing at the same rate.
Suppose that when you are getting bills, they just appear, maybe being made out other matter in the far reaches of the universe (assuming the universe is infinite too).
The infinity between one and two is smaller than the infinity between one and a hundred, even though they're both infinite.