The Condorcet paradox (also known as the voting paradox or the paradox of voting) in social choice theory is a situation noted by the Marquis de Condorcet in the late 18th century, in which collective preferences can be cyclic, even if the preferences of individual voters are not cyclic. This is paradoxical, because it means that majority wishes can be in conflict with each other: Suppose majorities prefer, for example, candidate A over B, B over C, and yet C over A. When this occurs, it is because the conflicting majorities are each made up of different groups of individuals. Thus an expectation that transitivity on the part of all individuals' preferences should result in transitivity of societal preferences is an example of a fallacy of composition. The paradox was independently discovered by Lewis Carroll and Edward J. Nanson, but its significance was not recognized until popularized by Duncan Black in the 1940s. (Wikipedia).
Most paradoxes either stem from the misunderstanding of a topic, or aren't really paradoxes. However, here is a paradox that seems to contradict logic itself. What's going on here? And what does the liar paradox have to do with computer science? #some2
From playlist Summer of Math Exposition 2 videos
Here's a re-enactment of the famous paradox known as the "infinite monkey theorem."
From playlist Cosmic Journeys
What is the ham sandwich theorem?
From playlist Mathematics
Math for Liberal Studies - Lecture 2.3.2 The Condorcet Winner Criterion
This is the second video lecture for Math for Liberal Studies Section 2.3: The Condorcet Method. In this lecture, I discuss a major flaw with Condorcet's method: the "Condorcet paradox." I also discuss how Condorcet's method can be used as a "fairness test" for other election methods.
From playlist Math for Liberal Studies Lectures
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From playlist Science Unplugged: Black Holes
What the heck is a Multiverse?
The idea of a multiverse (short for multiple universes) can seem absurd. After all, the definition of universe means everything, so what does it mean to have multiple universes? In this video, Fermilab’s Dr. Don Lincoln lists a couple possible definitions for a multiverse. The reality in
From playlist Speculative Physics
Twins Paradox: The Complete Explanation
The twins paradox is easily the most famous paradoxes of all time. Using spacetime diagrams and the rules of relativity, we can show the paradox only happens because people are being lazy with special relativity. http://brilliant.org/ScienceAsylum ________________________________ VIDEO ANN
From playlist Einstein's Relativity
Gérard Grancher : Démocratie, dictature ... et mathématiques
Résumé : Le principe de décision en démocratie consiste à produire, de l'expression des opinions individuelles, un consensus. Il existe de multiples procédures pour passer des unes à l'autre variant suivant les pays, les jurys... Le Président n'est pas élu de la même façon en France, aux U
From playlist Services numériques pour les mathématiques
What Is The Uncertainty Principle?
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From playlist Science Unplugged: Quantum Mechanics
Democracy is mathematically impossible.
Determining the "will of majority" is badly defined. Why should we believe the two- round voting system if there are many other ways to quantify people's preferences ? In this video I discuss the manipulations, paradoxes and other problems associated with the mathematics of voting. My
From playlist Something you did not know...
Math Explorations Ep3, Condorcet & Borda (Jan 21, 2022)
This is a recording of a live class for Math 1015, Mathematics: An Exploration, an undergraduate course for non-technical majors at Fairfield University, Spring 2022. The major topics are voting, gerrymandering, and graph theory. Handouts and homework are at the class website. Class web
From playlist Math 1015 (Mathematical Explorations) Spring 2022
Voting Theory: Fairness Criterion
This video define 4 Fairness Criterion for determining the winner of an election. Site: http://mathispower4u.com
From playlist Voting Theory
Math Explorations Ep2, Condorcet paradox, plurality system (Jan 19, 2022)
This is a recording of a live class for Math 1015, Mathematics: An Exploration, an undergraduate course for non-technical majors at Fairfield University, Spring 2022. The major topics are voting, gerrymandering, and graph theory. Handouts and homework are at the class website. Class web
From playlist Math 1015 (Mathematical Explorations) Spring 2022
How does physics disrupt our intuitive understanding of time?
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From playlist Science Unplugged: Time
Voting Systems and the Condorcet Paradox | Infinite Series
Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateinfi What is the best voting system? Voting seems relatively straightforward, yet four of the most widely used voting systems can produce four completely different winners.
From playlist An Infinite Playlist
Math for Liberal Studies: The Condorcet Method
In this video, we practice finding the Condorcet winner of an election, and explain why sometimes there is no winner. For more info, visit the Math for Liberal Studies homepage: http://webspace.ship.edu/jehamb/mls/index.html
From playlist Math for Liberal Studies
Voting & the Electoral College: Logic, Riddles, & Paradoxes in Math and History | Brain Teasers
Learn more about this course and start your FREE trial here: https://wondrium.com/youtube/lp/t2/math?utm_source=Video&utm_medium=Youtube&utm_campaign=149651 In this lecture, learn that determining the will of the voters can require a mathematician. Delve into paradoxical outcomes of elect
From playlist Math and Statistics
Concavity and Parametric Equations Example
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Concavity and Parametric Equations Example. We find the open t-intervals on which the graph of the parametric equations is concave upward and concave downward.
From playlist Calculus
The weirdest paradox in statistics (and machine learning)
🌏 AD: Get Exclusive NordVPN deal here ➼ https://nordvpn.com/mathemaniac. It's risk-free with Nord's 30-day money-back guarantee! ✌ Second channel video: https://www.youtube.com/watch?v=3ne9yghOtw8 Stein's paradox is of fundamental importance in modern statistics, introducing concepts of
From playlist Novel topics (not in usual math curricula)