Imaginary Numbers
Everything Everywhere Daily: History, Science, Geography & More
Gary Arndt
4.7 • 2.3K Ratings
🗓️ 12 July 2022
⏱️ 10 minutes
🔗️ Recording | iTunes | RSS
🧾️ Download transcript
Summary
Transcript
Click on a timestamp to play from that location
| 0:00.0 | In the history of mathematics there were several times when mathematicians encounter problems that they didn't know what to make of |
| 0:06.0 | It wasn't a case of a problem with a very difficult solution so much as it was a problem that didn't seem to make any sense |
| 0:13.0 | In one such case, the resolution of the problem led to an entirely new branch of mathematics. |
| 0:18.0 | Learn more about imaginary numbers, aka complex numbers, |
| 0:22.0 | on this episode of Everything Everywhere Daily. Book your ticket to happiness with Sun Express Airlines. airlines. There are certain things in mathematics that go beyond the realm of hard problems. There's any number of |
| 1:04.5 | these type which are given at elite mathematics competitions which are difficult to |
| 1:08.2 | solve but solvable. Then there are other problems that are more philosophical in nature. |
| 1:13.5 | Take for example dividing by zero. |
| 1:16.0 | Most of you know that you can't divide by zero. |
| 1:19.0 | When the number of zero was created by ancient Indian mathematicians they were able to create rules for |
| 1:24.3 | using zero in normal mathematical operations. |
| 1:27.1 | You could easily add subtract and multiply by zero. |
| 1:30.8 | But when they tried to divide by zero, it didn't make any sense. |
| 1:34.0 | Some of the first Indian mathematicians to encounter this problem said that dividing by |
| 1:38.1 | zero equaled zero. Other mathematicians said that dividing a number by zero didn't change the number. |
| 1:44.0 | Neither group, it turns out, was right. |
| 1:46.0 | The answer is that you just can't divide by zero. |
| 1:48.0 | It can't be done. It doesn't even make sense. |
| 1:51.0 | Take for example, six divided by zero. For this to make sense there must be some |
| 1:55.5 | number that you can multiply by 0 to make 6. The problem is that there is no number |
| 2:00.8 | you can multiply by 0 to make six because any number |
| 2:03.6 | multiplied by zero is zero. Likewise, zero divided by zero is also impossible |
... |
Please login to see the full transcript.
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.
Copyright © Tapesearch 2026.

