Well yes, the density of people would even surpass that of a black hole. Of course its silly to take it seriously.
Arcity 🇵🇸🇺🇦
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Cake day: August 5th, 2023
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It also says nothing about scale. It could be that to get to the first integer it could take one second or until the heat death of the universe. The reals however are immune to your and my trick
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.
In finite time the trolley would have killed infinite people already on the real track. On the integer track only a finite people are killed in that same time.
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.
Mom: clean your room
Teen: shut up femoid!
JP: you need to clean your room to slay the dragon of chaos
Teen: OMG so true!
Yes, but you can group the infinite sum of ones to get the sum of positive integers. 1+(1+1)+(1+1+1)+...