Tau

Everything Everywhere Daily: History, Science, Geography & More

Gary Arndt

Education, History

4.7 • 2.3K Ratings

🗓️ 28 June 2023

⏱️ 11 minutes

🔗️ Recording | iTunes | RSS

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Summary

For the last 250 years, there has been a problem in the world of mathematics. There is a good argument to be made that we have been doing it wrong. We have been teaching it in a way that has been unnecessarily confusing and complicated, and we have been causing generations of students unnecessary headaches. Learn more about Tau and why it is better to use than pi on this episode of Everything Everywhere Daily. Sponsors Expedition Unknown Find out the truth behind popular, bizarre legends. Expedition Unknown, a podcast from Discovery, chronicles the adventures of Josh Gates as he investigates unsolved iconic stories across the globe. With direct audio from the hit TV show, you’ll hear Gates explore stories like the disappearance of Amelia Earhart in the South Pacific and the location of Captain Morgan's treasure in Panama. These authentic, roughshod journeys help Gates separate fact from fiction and learn the truth behind these compelling stories. InsideTracker provides a personal health analysis and data-driven wellness guide to help you add years to your life—and life to your years. Choose a plan that best fits your needs to get your comprehensive biomarker analysis, customized Action Plan, and customer-exclusive healthspan resources. For a limited time, Everything Everywhere Daily listeners can get 20% off InsideTracker’s new Ultimate Plan. Visit InsideTracker.com/eed. Subscribe to the podcast! https://link.chtbl.com/EverythingEverywhere?sid=ShowNotes -------------------------------- Executive Producer: Charles Daniel Associate Producers: Peter Bennett & Thor Thomsen Become a supporter on Patreon: https://www.patreon.com/everythingeverywhere Update your podcast app at newpodcastapps.com Discord Server: https://discord.gg/UkRUJFh Instagram: https://www.instagram.com/everythingeverywhere/ Facebook Group: https://www.facebook.com/groups/everythingeverywheredaily Twitter: https://twitter.com/everywheretrip Website: https://everything-everywhere.com/ Learn more about your ad choices. Visit megaphone.fm/adchoices

Transcript

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0:00.0	For the last 250 years there's been a problem in the world of mathematics.
0:04.0	There is a good argument to be made that we've been doing it wrong.
0:08.0	We've been teaching in a way that's been unnecessarily confusing and complicated
0:12.0	and we've been causing generations of students unnecessary headaches.
0:15.0	Learn more about Tao and why it's better to use than Pie on this episode of
0:20.0	Everything Everywhere Daily. of everything everywhere daily. To understand what this episode is about and why there is a problem, we have to start with one of the simplest concepts in geometry, the circle.
0:44.0	The circle is defined to be the set of all points in equal distance to a single point.
0:50.0	Physically you can make a circle with a compass by holding one end down on a single point and then swinging the rest of it around to make a circle.
0:57.0	Likewise, you could take a piece of rope or string, fix it to a point and then move it around to make a circle as well. The point being the defining characteristic
1:05.7	of a circle is its radius, the distance from the center to the edge. No other two-dimensional shape has a radius. Just to hammer the point home,
1:16.7	the radius is what makes a circle a circle. Every circle has a special ratio built into it regardless of how big or how small the circle is.
1:25.0	Most of you know this ratio as the number pie.
1:29.0	I've previously done an entire episode on pie, but just to refresh your memory, Pie is the ratio of the
1:34.8	circumference of the circle to its diameter.
1:38.2	And therein lies the problem.
1:41.0	There is almost nothing in mathematics that we use the diameter of a circle for.
1:45.0	Why is it that when we define the most important ratio found inside every circle,
1:50.0	we all of a sudden define it using the diameter rather than the radius.
1:54.6	After all, it's the radius that defines the circle.
1:58.6	You might be thinking that this really isn't that big of a deal.
2:01.2	The diameter of a circle is just twice the radius.
2:04.0	Just as every circle has a radius, so does every circle have a diameter.
	...

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