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by ars 3205 days ago
> 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.