The Shape of Geometry | Jordan Ellenberg

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July 2nd, 2021

1 hr 6 mins 22 secs

Season 14

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About this Episode

MEMORABLE QUOTES FROM THE EPISODE:

[00:29:37] "The coin flips aren't influencing each other. Without that assumption, the law of large numbers might not be true."

[00:13:01] "...mathematics is the art of giving the same name to different things, which is an amazing insight, because it's so true to what we are doing in mathematics that, you know, on a very basic level, we use the fact that a triangle over here and the same triangle over here have the same properties we don't really worry about."

[00:16:52] "...it means constructing this classical Greek way where there's only two tools you're allowed to use a compass and a straight edge. So it allows you to draw a straight line between two points or something that allows you to draw circles."

Jordan Ellengberg's twitter: https://twitter.com/JSEllenberg

HIGHLIGHTS FROM THE SHOW

[00:01:19] Guest Introduction

[00:03:02] Where you grew up and what it was like there?

[00:03:58] What were you like in high school?

[00:04:49] Jordan talks about geometry

[00:05:24] Talks about being a biostatistician

[00:08:10] Even William Wordsworth cared about math

[00:10:35] Modern translation of Euclid's work

[00:12:32] How is a circle the same as a square in topology?

[00:25:32] What what does the law of large numbers have to do with free will?

[00:32:20] Did you start to look at the history of the ideas by writing books, or was this something that you're always interested in?

[00:40:26] Is language markov chain?

[00:50:09] Relationship between the Golden Ratio and eigenvalues

[00:57:14] What does Galileo knew about a thrown object?

[01:01:28] RANDOM ROUND

[01:02:13] What are you currently reading?

[01:02:40] What song do you have on repeat?

[01:03:16] What is your theme song?

[01:04:01] What is something you can never seem to finish?

[01:04:27] What's one place you have traveled to that you never want to go back to?

[01:04:45] To the last one from here. What's the worst movie you've ever seen?

[01:05:02] What's your favorite candy.

[01:05:14] How can people connect with you and where can we find you online?

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