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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195 | Richard Dawkins on Flight and Other Evolutionary Achievements

195 | Richard Dawkins on Flight and Other Evolutionary Achievements

Evolution has equipped species with a variety of ways to travel through the air — flapping, gliding, floating, not to mention jumping really high. But it hasn't invented jet engines. What are the diff...

2 Maj 20221h 18min

194 | Frans de Waal on Culture and Gender in Primates

194 | Frans de Waal on Culture and Gender in Primates

Humans are related to all other species here on Earth, but some are closer relatives than others. Primates, a group that includes apes, monkeys, lemurs, and others besides ourselves, are our closest r...

25 Apr 20221h 8min

193 | Daniels on Everything, Everywhere, All at Once

193 | Daniels on Everything, Everywhere, All at Once

Every time we make an important decision, it's hard not to wonder how things would have turned out had we chosen differently. The set of all those hypothetical lives is a kind of "multiverse" — not on...

18 Apr 20221h 8min

AMA | April 2022

AMA | April 2022

Welcome to the April 2022 Ask Me Anything episode of Mindscape! These monthly excursions are funded by Patreon supporters (who are also the ones asking the questions). I take the large number of quest...

14 Apr 20223h 27min

192 | Nicole Yunger Halpern on Quantum Steampunk Thermodynamics

192 | Nicole Yunger Halpern on Quantum Steampunk Thermodynamics

Randomness and probability are central to modern physics. In statistical mechanics this is because we don't know everything about the distribution of atoms and molecules in a fluid, so we consider a p...

11 Apr 20221h 17min

191 | Jane McGonigal on How to Imagine the Future

191 | Jane McGonigal on How to Imagine the Future

The future grows out of the present, but it manages to consistently surprise us. How can we get better at anticipating and preparing for what the future can be like? Jane McGonigal started out as a ga...

4 Apr 20221h 21min

190 | Lea Goentoro on Regrowing Limbs

190 | Lea Goentoro on Regrowing Limbs

Biological organisms are pretty good at healing themselves, but their abilities fall short in crucial ways. Planaria can be cut into pieces, and each piece will regrow into an entire organism; but for...

28 Mars 20221h 3min

189 | Brian Klaas on Power and the Temptation of Corruption

189 | Brian Klaas on Power and the Temptation of Corruption

All societies grant more power to some citizens, and there is always a temptation to use that power for the benefit of themselves rather than for the greater good. Power corrupts, we are told — but to...

21 Mars 20221h 22min

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