174 | Tai-Danae Bradley on Algebra, Topology, Language, and Entropy

174 | Tai-Danae Bradley on Algebra, Topology, Language, and Entropy

Mathematics is often thought of as the pinnacle of crisp precision: the square of the hypotenuse of a right triangle isn't "roughly" the sum of the squares of the other two sides, it's exactly that. But we live in a world of messy imprecision, and increasingly we need sophisticated techniques to quantify and deal with approximate statistical relations rather than perfect ones. Modern mathematicians have noticed, and are taking up the challenge. Tai-Danae Bradley is a mathematician who employs very high-level ideas — category theory, topology, quantum probability theory — to analyze real-world phenomena like the structure of natural-language speech. We explore a number of cool ideas and what kinds of places they are leading us to.

Support Mindscape on Patreon.

Tai-Danae Bradley received her Ph.D. in mathematics from the CUNY Graduate Center. She is currently a research mathematician at Alphabet, visiting research professor of mathematics at The Master's University, and executive director of the Math3ma Institute. She hosts an explanatory mathematics blog, Math3ma. She is the co-author of the graduate-level textbook Topology: A Categorical Approach.


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249 | Peter Godfrey-Smith on Sentience and Octopus Minds

249 | Peter Godfrey-Smith on Sentience and Octopus Minds

The study of cognition and sentience would be greatly abetted by the discovery of intelligent alien beings, who presumably developed independently of life here on Earth. But we do have more than one d...

11 Sep 20231h 28min

AMA | September 2023

AMA | September 2023

Welcome to the September 2023 Ask Me Anything episode of Mindscape! These monthly excursions are funded by Patreon supporters (who are also the ones asking the questions). We take questions asked by P...

4 Sep 20234h 3min

248 | Yejin Choi on AI and Common Sense

248 | Yejin Choi on AI and Common Sense

Over the last year, AI large-language models (LLMs) like ChatGPT have demonstrated a remarkable ability to carry on human-like conversations in a variety of different concepts. But the way these LLMs ...

28 Aug 20231h 12min

247 | Samuel Bowles on Economics, Cooperation, and Inequality

247 | Samuel Bowles on Economics, Cooperation, and Inequality

Blog post with transcript: https://www.preposterousuniverse.com/podcast/2023/08/21/247-samuel-bowles-on-economics-cooperation-and-inequality/ Economics, much like thermodynamics, is a story of collect...

21 Aug 20231h 20min

246 | David Stuart on Time and Science in Maya Civilization

246 | David Stuart on Time and Science in Maya Civilization

You might remember the somewhat bizarre worries that swept through certain circles back in 2012, based on the end of the world being predicted by the Maya calendar. The world didn't end, which is unsu...

14 Aug 20231h 9min

AMA | August 2023

AMA | August 2023

Welcome to the August 2023 Ask Me Anything episode of Mindscape! These monthly excursions are funded by Patreon supporters (who are also the ones asking the questions). We take questions asked by Patr...

7 Aug 20233h 38min

245 | Solo: The Crisis in Physics

245 | Solo: The Crisis in Physics

Physics is in crisis, what else is new? That's what we hear in certain corners, anyway, usually pointed at "fundamental" physics of particles and fields. (Condensed matter and biophysics etc. are just...

31 Juli 20234h 22min

244 | Katie Elliott on Metaphysics, Chance, and Explanation

244 | Katie Elliott on Metaphysics, Chance, and Explanation

Is metaphysics like physics, but cooler? Or is it a relic of an outdated, pre-empirical way of thinking about the world? Closer to the former than the latter. Rather than building specific quantitativ...

24 Juli 20231h 36min

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