The rate of death is constant for integers but infinite for reals, assuming a constant speed for the trolley. Much like real life I prefer humans having a longer lifespan, assuming a constant population.
the rate of deaths over time is certainly higher for reals, but you would never reach an infinite number of deaths in either case because there is not an infinite amount of time, an infinite amount of track, an infinite number of victims, or a trolley capable of operating forever. As always, the material reality places limits on us that is simply ignored for the sake of creating a thought experiment.
It doesn’t take an infinite amount of time to travel a finite distance. Let’s say it takes 1 second to travel to the integer 1 on the reals, you would have ran over an infinite amount of people because there is an infinite amount of real numbers between 0 and 1.
But you’d still need a physical, actually-Real, construction of infinite track to line up infinite people (tied down by infinite effort) with a train capable of doing infinite genocide in one second.
I fully support efforts to construct said train, however I am doubtful as to their success.
the consequences of viewing infinity as a quantity and not as a process
(also cantor was using math to smuggle theology, change my mind)
The rate of death is constant for integers but infinite for reals, assuming a constant speed for the trolley. Much like real life I prefer humans having a longer lifespan, assuming a constant population.
the rate of deaths over time is certainly higher for reals, but you would never reach an infinite number of deaths in either case because there is not an infinite amount of time, an infinite amount of track, an infinite number of victims, or a trolley capable of operating forever. As always, the material reality places limits on us that is simply ignored for the sake of creating a thought experiment.
It doesn’t take an infinite amount of time to travel a finite distance. Let’s say it takes 1 second to travel to the integer 1 on the reals, you would have ran over an infinite amount of people because there is an infinite amount of real numbers between 0 and 1.
But you’d still need a physical, actually-Real, construction of infinite track to line up infinite people (tied down by infinite effort) with a train capable of doing infinite genocide in one second.
I fully support efforts to construct said train, however I am doubtful as to their success.
Furthermore, Goku could defeat Saitama.
Well yes, the density of people would even surpass that of a black hole. Of course its silly to take it seriously.