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.


Jaksot(416)

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260 | Ricard Solé on the Space of Cognitions

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259 | Adam Frank on What Aliens Might Be Like

259 | Adam Frank on What Aliens Might Be Like

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AMA | December 2023

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258 | Solo: AI Thinks Different

258 | Solo: AI Thinks Different

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257 | Derek Guy on the Theory and Practice of Dressing Well

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Putting on clothes is one of the most universal human experiences. Inevitably, this involves choices; maybe you just grab the cheapest and most convenient clothing available, or maybe you want to fit ...

20 Marras 20231h 20min

256 | Kelly and Zach Weinersmith on Building Cities on the Moon and Mars

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13 Marras 20231h 24min

AMA | November 2023

AMA | November 2023

Welcome to the November 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 Pa...

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