Would You Rather Infinite 20 Bills Or Infinite 1 Bills

An Infinite Number Of 1 Bills And An Infinite Number Of 20 Bills Would you rather infinite $20 bills or infinite $1 bills? mrgee math 56.6k subscribers subscribe. The value of the infinite stack of $1 bills is 1 1 1 1 = infinity, while the infinite stack of $20 bills is 20 20 20 20 = infinity. both are the countable infinity because prices can't take on irrational values.

100 Would You Rather Cards Pdf Value Added Tax Drink There are different cardinalities of infinite sets, so it depends on 'how infinite' each of those sets are. if you want them to be countably infinite, then that trivially answers the question for you. This is actually a really good example of different sizes of infinity, because although they would both be an infinite amount of money, the infinite amount of $20 would always be a larger amount, as for every infinite $1 you have the infinite amount of $20 would have $19 more per individual count. You can imagine pairing each $1 bill with a specific $20 bill. since both sets are infinite, you can create a one to one correspondence between them, even though there are more $1 dollar bills for every corresponding $20 bill. 4 hrs aaren fiedler although they are both $∞, the $20 bills do have greater value (collectively) because they would be easier to spend and more.

Would You Rather Would You Rather Math You can imagine pairing each $1 bill with a specific $20 bill. since both sets are infinite, you can create a one to one correspondence between them, even though there are more $1 dollar bills for every corresponding $20 bill. 4 hrs aaren fiedler although they are both $∞, the $20 bills do have greater value (collectively) because they would be easier to spend and more. While obviously they equal the same amount, you will have more difficulty purchasing things with an infinite number of $1 bills (you'll need to carry 20x more to buy whatever you're buying with the $20s). Infinities are weird and unintuitive, and actually, both a countably infinite collection of one dollar bills and a countably infinite collection of twenty dollar bills have the same number of dollars, countably infinite (aleph zero, \(\aleph 0\)). Understanding infinity: $1 vs $20 bills explained explore the intriguing question of whether an infinite number of $1 bills is worth more than infinite $20 bills. In this video i discuss how difficult it is for non mathematically trained people to discuss infinity thru an example, and i try to explain a solution #math.