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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Episoder(411)

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208 | Rick Beato on the Theory of Popular Music

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207 | William MacAskill on Maximizing Good in the Present and Future

207 | William MacAskill on Maximizing Good in the Present and Future

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15 Aug 20221h 42min

206 | Simon Conway Morris on Evolution, Convergence, and Theism

206 | Simon Conway Morris on Evolution, Convergence, and Theism

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8 Aug 20221h 16min

AMA | August 2022

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205 | John Quiggin on Interest Rates and the Information Economy

205 | John Quiggin on Interest Rates and the Information Economy

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25 Jul 20221h 19min

204 | John Asher Johnson on Hunting for Exoplanets

204 | John Asher Johnson on Hunting for Exoplanets

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18 Jul 20221h 15min

203 | N.J. Enfield on Why Language is Good for Lawyers and Not Scientists

203 | N.J. Enfield on Why Language is Good for Lawyers and Not Scientists

We describe the world using language — we can’t help it. And we all know that ordinary language is an imperfect way of communicating rigorous scientific statements, but sometimes it’s the best we can ...

11 Jul 20221h 24min

AMA | July 2022

AMA | July 2022

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4 Jul 20223h 26min

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