Quantigrade
Audience:
Tags: measure-theory
In this video I dive deeper into the hole of measure theory that I had started touching upon last time. I built up a hyperfinite counting measure without ultrafilters from scratch.
Analytics
Comments
Beginning the video with a list of seemingly unrelated problems is an attention killer. The first hint I get about what you are working on is only given at the 0:50 mark and its “what measure does a point have”. Using that 0:50 seconds to build up a definition of a measure would drive home to the user what the topic of your video is about.
The visualizations in the video are great, but the writing desperately needs to be revised for conciseness and clarity.
- “You’ll prove none of the established math wrong” is tautological. If it is a joke it isn’t funny.
- “I sell no NFTs” this has nothing to do with anything. Stay on topic.
- “Consider this video fresh off the press and not validated yet” you are lowering the expectations of the reader about the quality of the video by self-deprecating it. Don’t do that.
I strongly recommend reading “Strunk & White’s Elements of Style” as the writing style that book proposes works wonders for technical writing. Its also relatively short so you won’t need to take too much time to read it. https://en.wikipedia.org/wiki/The_Elements_of_Style
If you find yourself wanting to go deeper, I recommend “Rhetorical Style: The uses of language in persuasion” by Jeanne Fahnestock, but that is a damn long book.
I think that if you want to cover topics this technical and make them engaging, you should reduce the amount of calculations and mathematical notation you show. Otherwise, it becomes content aimed at a very small audience of people who are already interested in the subject… and at that point, they might find a textbook more interesting and in-depth. The animations are simple but well thought out. There is some issue with the audio.