FranceCondorcet’s 240-year-old voting paradox is a Klein bottle.
It gives mathematicians a geometric way to study why fair voting rules clash.
Three voter blocs ranking Alice, Bob and Carol in rotated orders can make Alice beat Bob, Bob beat Carol, Carol beat Alice.
Kenneth Arrow proved that every method of combining rankings must sacrifice at least one reasonable democratic requirement.
How each outlet framed it
- Quanta Magazine
- maps Condorcet's 1785 voting paradox onto a Klein bottle, a surface with no distinct inside or outside
Sources: Quanta Magazine