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
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Saturday Morning Breakfast Cereal
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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.