Navigating an Infinitely Dense Minefield | Why Measure Infinity?

Morphocular September 13, 2021
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Morphocular

@morphocular

About

The name rhymes with "binocular", and it's a channel intended to teach math with the help of visuals and animation wherever possible. Henri Poincaré once said about mathematicians, "Matter does not engage their attention, they are interested in form alone." And in one sense, math can be defined as the study of pure form ("morphḗ"). This channel is meant to be a morphocular, a lens on math, that clarifies and illuminates its often confusing and daunting concepts to reveal the beautiful thing it really is. I hope this channel lets a little of that beauty shine through to you. Note about business inquiries: The channel is currently in a less active state for the time being and so I have less energy to investigate sponsorship opportunities. Inquiries are still welcome, but I may not respond.

Video Description

If you're in to math at all, there's a good chance you've encountered the idea that infinity can come in different sizes. And while that's cool, and keeps pure mathematicians off the streets, is there any practical use for it? Can you solve any problems with it? And does it matter at all to broader mathematics? To find out, we'll have to find a path thru an infinitely dense minefield. =Chapters= 0:00 - Who cares about infinity? 2:15 - How to measure infinity 8:00 - The infinite minefield 10:45 - How many mines are there? 12:25 - Finding a way out 15:53 - Why it all matters =============================== Want to support future videos? Become a patron at https://www.patreon.com/morphocular Thank you for your support! =============================== The animations in this video were mostly made with a homemade Python library called "Morpho". If you want to play with it, you can find it here: https://github.com/morpho-matters/morpholib