It's Mathematically Impossible to Vote Between More Than Two Candidates(slate.com)
slate.com
It's Mathematically Impossible to Vote Between More Than Two Candidates
http://www.slate.com/articles/health_and_science/science/2016/10/it_s_mathematically_impossible_to_vote_between_more_than_two_candidates.html
The mathematical paradox described only applies to one very specific type of system. The paradox can be "solved" by modifying the system slightly, yet this is never mentioned.
Furthermore the author completely dismisses the other types of electoral systems, and she also omits to mention any of the many other western countries who have functioning systems with more than two parties.
Instead she simply concludes that since one specific alternative type of electoral system has a (easily solvable) problem, we therefore shouldn't consider any type of electoral reform and we should just be happy with the system we have today.