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)

AMA | September 2025

AMA | September 2025

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327 | Cass Sunstein on Liberalism

327 | Cass Sunstein on Liberalism

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326 | Natalie Batalha on What We Know and Will Learn About Exoplanets

326 | Natalie Batalha on What We Know and Will Learn About Exoplanets

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25 Elo 20251h 12min

325 | Alvy Ray Smith on Pixar, Pixels, and the Great Digital Convergence

325 | Alvy Ray Smith on Pixar, Pixels, and the Great Digital Convergence

The world is becoming pixelated. As computers and other digital devices become ubiquitous, human knowledge and communication and information is gradually being converted into, and manipulated as, stri...

18 Elo 20251h 26min

324 | Elizabeth Mynatt on Universities and the Importance of Basic Research

324 | Elizabeth Mynatt on Universities and the Importance of Basic Research

It is not manifestly obvious that universities should be where most scholarly research is performed. One could imagine systems that separated out the tasks of "teaching students" and "generating new k...

11 Elo 20251h 13min

AMA | August 2025

AMA | August 2025

Welcome to the August 2025 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...

4 Elo 20253h 39min

323 | Jacob Barandes on Indivisible Stochastic Quantum Mechanics

323 | Jacob Barandes on Indivisible Stochastic Quantum Mechanics

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28 Heinä 20252h 58min

322 | Philip Pettit on Language, Agency, Politics, and Freedom

322 | Philip Pettit on Language, Agency, Politics, and Freedom

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