In this episode James Propp challenges the obvious notion that things that don't change must be constant. Indeed, it would be an odd universe in which this were not true, but it very much depends upon, and is in fact equivalent to, the completeness of the real numbers. Also potato chips.

Episode 44 - James Propp

Join us as we spend each episode talking with a mathematical professional about their favorite result. And since the best things in life come in pairs, find out what our guest thinks pairs best with their theorem.

Science

Mathematics

Karen Saxe is an analyst who spends her days representing mathematics on Capitol Hill. She really likes the isoperimetric inequality and its many uses. Also tennis.

Episode 91 - Karen Saxe

Corrine Yap loves math, graph theory in particular, and also loves to perform her one-person play about Sonya Kovalevskaya. Also, tofu.

Episode 90 - Corrine Yap

Allison Henrich studies knots and her favorite theorem is about how one might unknot a knot. Also, music.

Episode 89 - Allison Henrich

We all know the (probably apocryphal) story of Gauss adding up the first 100 positive integers as a child. Well, Tom Edgar really likes this result and will be happy to tell you about dozens of different ways to prove it. Also, Groundhog Day.

Episode 88 - Tom Edgar

Tatiana Toro is a geometer and therefore loves the ur-theorem of geometry, "due" to Pythagoras. She also likes to walk.

Episode 44 - James Propp

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