I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!
I got tired of reading people saying that the infinite stack of hundreds is more money, so get this :
Both infinites are countable infinites, thus you can make a bijection between the 2 sets (this is literally the definition of same size sets). Now use the 1 dollar bills to make stacks of 100, you will have enough 1 bills to match the 100 bills with your 100 stacks of 1.
Both infinites are worth the same amount of money… Now paying anything with it, the 100 bills are probably more managable.
Now paying anything with it, the 100 bills are probably more managable.
I’d take the 1’s just because almost everywhere I spend money has signs saying they don’t take bills higher than $20.
The people struggling with this are the same ones that think a ton of lead is heavier than a ton of feathers
You can have infinities of different sizes
You can. This is not one of them
True, but understanding that different sizes of infinity exist and applying that incorrectly is not the same as not realizing that “a ton is a ton”.
It’s a fair analogy to obscure some complexity.
Got a better one?
