Irrational Numbers

Everything Everywhere Daily

Gary Arndt

History, Education

4.8 • 1.8K Ratings

🗓️ 22 May 2023

⏱️ 13 minutes

🔗️ Recording | iTunes | RSS

🧾️ Download transcript

Summary

There is a particular type of number that is so common we have keys on calculators to handle them. However, thousands of years ago, their discovery was so upsetting to one group that it may have led to the destruction of their religion and possibly the murder of the man who made the discovery. Today, they are commonplace enough to be taught in grade schools. Learn more about irrational numbers and their place in the world of mathematics on this episode of Everything Everywhere Daily. Sponsors BetterHelp is an online platform that provides therapy and counseling services to individuals in need of mental health support. The platform offers a range of communication methods, including chat, phone, and video sessions with licensed and accredited therapists who specialize in different areas, such as depression, anxiety, relationships, and more. Get 10% off your first month at BetterHelp.com/Everywhere ButcherBox is the perfect solution for anyone looking to eat high-quality, sustainably sourced meat without the hassle of going to the grocery store. With ButcherBox, you can enjoy a variety of grass-fed beef, heritage pork, free-range chicken, and wild-caught seafood delivered straight to your door every month. Visit ButcherBox.com/Daily to get 10% off and free chicken thighs for a year. 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

Click on a timestamp to play from that location

0:00.0	There's a particular type of number that is so common that we have keys on our modern calculators to handle them.
0:06.0	However, thousands of years ago, their discovery was so upsetting to one group that it may have led to the destruction of their religion and possibly
0:14.0	the murder of the man who made the discovery.
0:16.4	Nowadays, they're commonplace enough to be taught in grade school.
0:19.7	Learn more about irrational numbers and their place in the world of mathematics on this episode of
0:24.7	everything everywhere daily. listening to a podcast a podcast a day, taking a break from the outside world and spending some time alone?
0:44.0	Well there's none of that in a Celebrity Big Brother house.
0:47.0	No taking a break from the outside world because there is no outside world and no spending time alone because the cameras are always
0:54.8	rolling there's one place they can't hide the celebs are in catch up with
1:01.2	everything going on in the house. Celebrity Big Brother on IT1 and ITX.
1:08.0	Before I jump into a discussion of the history of irrational numbers I should probably explain what an irrational number is.
1:18.0	An irrational number is any real number that cannot be expressed as the ratio of two integers. That's it. That's the
1:25.8	definition. I've tangentially mentioned irrational numbers several times before in previous
1:30.6	episodes, but I've never dealt with them explicitly until now.
1:35.0	Mathematicians have a way of classifying numbers into sets that can be visualized as a group of
1:40.0	concentric circles.
1:42.0	At the core are the natural numbers. These are the numbers
1:45.5	that everyone is familiar with and are also called the counting numbers.
1:48.4	1, 2, 3, 4, etc. The circle beyond the natural numbers are the integers. This includes all the natural
1:56.0	numbers plus zero and the negative natural numbers. The circle beyond that is called the
2:02.4	rational numbers.
2:04.0	Rational numbers include all of the integers and all the possible fractions,
	...

Please login to see the full transcript.

Previous episode | Next episode

Disclaimer: The podcast and artwork embedded on this page are from Gary Arndt, and are the property of its owner and not affiliated with or endorsed by Tapesearch.

Generated transcripts are the property of Gary Arndt and are distributed freely under the Fair Use doctrine. Transcripts generated by Tapesearch are not guaranteed to be accurate.