By any reasonable and well thought out definition of what exactly counting is, they're the same infinite size cause they can be put into a one-to-one correspondence that is both an injection and surjection (and therefore an equivalence relation). It's the same reason both only even numbers and all positive integers have the same size even though you skip all the odds in the former set.
I'd probably choose the top track just because the trolley is not instantaneous and it has a lower rate of death (assuming an above poster's suggestion of derailing it by having the trolley do multi-track drifting)
Amount isn't the technical term, but works well enough I think. Of course the actual term is "the cardinality of both sets is equal to Aleph Null" but that's not helpful to most people.
Both are infinite, ones just more infinite
it's a joke about the Ramanujan summation which argues the top one adds to infinity but the bottom adds to -1/12
The sum doesn't exist, but if it did it sure as hell would be -1/12
Both are exactly the same amount of infinite, i.e. countable infinite.
This is why I believe math is fake. The bottom clearly has more people on it.
~Posted by someone who failed calc 2 once, passed it, then got a comp sci major.
By any reasonable and well thought out definition of what exactly counting is, they're the same infinite size cause they can be put into a one-to-one correspondence that is both an injection and surjection (and therefore an equivalence relation). It's the same reason both only even numbers and all positive integers have the same size even though you skip all the odds in the former set.
NERD ALERTyeah but the bottom one has more people on it:limmy-confuse:
I'd probably choose the top track just because the trolley is not instantaneous and it has a lower rate of death (assuming an above poster's suggestion of derailing it by having the trolley do multi-track drifting)
I guess "amount" is the wrong term too. It's more of a type than a value
Amount isn't the technical term, but works well enough I think. Of course the actual term is "the cardinality of both sets is equal to Aleph Null" but that's not helpful to most people.