Summer of Math Exposition

Microphone could be better, but the video quality is high otherwise

Weird noises around 2:25 - Not funny or related to the video Nice animations and graphics. The sound needs some work however.

Overall a very good video. It was well executed. It would have been better if arrow's theorem would been presented a bit slowly. I had to pause several times in between the video to understand what was happening and absorb the logic.I liked how at the end everything was summarised. The math was well written and animated. The part of the video infront of the camera helped reduce the monotonous theory

Good work on your first video! The changing light (sometimes bright sun, sometimes not so bright) works well in giving it a lively natural feel. Only, since the differences were a bit big, it also was a bit distracting.

From your explanation, it sounds like Arrow’s theorem really says, “In any ranked Pareto IIA voting system, there will always exist a voter whose individual ranking matches the final ranking.” That is a far cry from “dictatorship”. The fact that the final ranking from the election happens to match the ranking given by at least one voter (and probably a large number of voters) seems rather unremarkable. Like, it’s kind of interesting from a maths perspective that there is no possible way for the final ranking to not have appeared on a ballot, but that doesn’t exactly come across as a bad thing. If anything, it sounds like a PR failure that “dictator” gets used in this regard.

The video goes too fast, even though I already knew about the Arrow impossibility theorem. To be honest, the task of making a video proof of it was really hard. Weird sound effects?

This is a good start in making this kind of video. Some feedback: I think your visualizations are great and pretty clear. It is easy to maintain the focus on the video. It was a little difficult to follow because some parts had a lot of information, and your speech didn't always match what the video was showing at that moment. For example, around minute 6:53, you were talking about G complement, but the video had already shown it before. I think it would be easier to follow if, when you start mentioning G complement, the animation showed the text on the left (the one containing G complement and its preferences). You can still use YouTube chapters to divide your video into chunks that are easier to follow. For future videos, you could also use images to indicate what you’re about to discuss. For example, at minute 3:25, when you say that we are going to see if we can find a voting system that avoids the spoiler effect, you could have used an image to 'separate' the 'chapter' on finding a 'good' voting system. I think this is a great start, and I hope to see more of your videos in the future. Keep going, and thanks for the explanation.

Don't like math mixed with politics

I thought this was a good video, especially for a first video! I only have two pieces of constructive criticism: 1) Sometimes the author spoke very quickly, which made some of the wording tricky to understand. Just relaxing and slowing down a little would completely solve this! 2) At the end the author says "Thanks boys!", which could probably be "Thanks guys!", "Thanks everyone!" or "Thanks for watching!" instead. These comments are relatively minor, and I think the author has done a good job explaining some tricky concepts. The animation was good, and overall the difficult concepts were introduced nicely. Well done!