https://www.smbc-comics.com/comic/promise-2
Alt text
This is more commonly known as the median voter theorem.
Bonus panel
this post was submitted on 12 Nov 2024
371 points (98.9% liked)
Saturday Morning Breakfast Cereal
273 readers
105 users here now
Posts and discussion about the webcomic Saturday Morning Breakfast Cereal by Hugo Award-winning author Zach Weinersmith (and related works)
https://www.patreon.com/ZachWeinersmith
@ZachWeinersmith@mastodon.social
New comics posted whenever they get posted on the site, and old comics posted every day until we catch up in a decade or so
founded 1 month ago
MODERATORS
you are viewing a single comment's thread
view the rest of the comments
view the rest of the comments
I also can't remember the maths, but iirc the -1/12 value is based on a faulty assumption somewhere in the calculation (probably dividing by 0 at some point)
The faulty assumption in the more naive approach was treating operations on infinite series in the same way you would treat operations on finite sums. The order of elements being added is important, as it does change the series, and the naive approach based on putting 0 in between each numbers like 0 + 1 + 0 + 2 + ... which was incorrect. There are ways to prove it does sum up to -1/12 from what I remember though, it's just the addition of 0's that's bad.