>When considering extended complex numbers, the midpoint between

I... disagree.

>>8422326
>the midpoint
>the
whole circle of midpoints with modulus 1

>>8422335
Wrecked

>>8423103
but that character in that picture is just a slim 20 something, shes even like 5'5..

>>8423118
She is 18

>>8422326
Yes I can
"Midpoint" implies a metric, but the distance from 0 to 1 is shorter than the distance from 1 to ∞, so 1 cannot be the midpoint

>>8423383
>shorter
Shorter how exactly?

>>8423402
Take my post >>8423383 as 0
Your question shows up 1 post later, so take that post >>8423402 as 1.
My answer to your question will appear ∞ posts later :^)

>>8423383
This guy is right. You cannot define midpoint with defining a metric. Depending on which metric you choose you can get basically anything you want for the midpoint.

>>8422326
Actually it's -1/24

Here's a new question.

What is the midpoint between 0 and the largest number in the extended complex hyperreals?

File: 1475192828721.jpg (35KB, 349x389px) Image search: [Google]

35KB, 349x389px

[eqn]\lim_{x \to \infty} |x - 1| = |1 - 0| \implies \infty = 2 [/eqn]
Am I doing this right, guys?

>>8424814
> the riemann sphere doesn't imply a metric

>>8424828
well that's just not true