Re:Mathematicians Measure Infinities, Find They’re Equal
by ars on Wednesday September 13, 2017 @09:53PM
(#15244432)
> necessary to represent an arbitrary natural number
What makes you think this number exists? Infinities can not be added and divided this way.
> The average can't be larger than the largest number.
But it can be equal to it. You mistake is not realizing that infinity minus 1 = infinity.
So the average is "smaller" than the largest, and yet equal to it. Because like I said at the start, you can not just add infinities in the normal way you can manipulate finite numbers.
What makes you think this number exists? Infinities can not be added and divided this way.
> The average can't be larger than the largest number.
But it can be equal to it. You mistake is not realizing that infinity minus 1 = infinity.
So the average is "smaller" than the largest, and yet equal to it. Because like I said at the start, you can not just add infinities in the normal way you can manipulate finite numbers.