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.

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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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Avsnitt(427)

336 | Anil Ananthaswamy on the Mathematics of Neural Nets and AI

336 | Anil Ananthaswamy on the Mathematics of Neural Nets and AI

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AMA | November 2025

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335 | Andrew Jaffe on Models, Probability, and the Universe

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10 Nov 20251h 17min

334 | Daniel Whiteson on the Physics of and by Aliens

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3 Nov 20251h 14min

333 | Gordon Pennycook on Unthinkingness, Conspiracies, and What to Do About Them

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27 Okt 20251h 10min

332 | Dmitri Tymoczko on the Mathematics Behind Music

332 | Dmitri Tymoczko on the Mathematics Behind Music

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20 Okt 20251h 21min

AMA | October 2025

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13 Okt 20253h 37min

331 | Solo: Fine-Tuning, God, and the Multiverse

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