Is a perfect democracy mathematically possible?

Bibliography

TED-Ed on different voting systems: https://www.youtube.com/watch?v=PaxVCsnox_4&ab_channel=TED-Ed

PBS on Arrow's Impossibility Theorem: https://www.youtube.com/watch?v=AhVR7gFMKNg&ab_channel=PBSInfiniteSeries

PBS on the Condorcet paradox: https://www.youtube.com/watch?v=HoAnYQZrNrQ&ab_channel=PBSInfiniteSeries

CGP Grey on problems with plurality voting: https://www.youtube.com/watch?v=s7tWHJfhiyo

CGP Grey on single transferrable vote: https://www.youtube.com/watch?v=l8XOZJkozfI

The Guardian on political dissatisfaction: https://www.theguardian.com/us-news/2016/oct/25/american-political-parties-democrats-republicans-representation-survey

CNN on political dissatisfaction: https://www.cnn.com/2019/03/04/politics/two-party-system-poll/index.html

Exploratorium on voting paradoxes: https://www.youtube.com/watch?v=tJag3vuG834&ab_channel=Exploratorium