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.


Episoder(418)

AMA | March 2022

AMA | March 2022

Welcome to the March 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...

17 Mar 20223h 18min

188 | Arik Kershenbaum on What Aliens Will Be Like

188 | Arik Kershenbaum on What Aliens Will Be Like

If extraterrestrial life is out there — not just microbial slime, but big, complex, macroscopic organisms — what will they be like? Movies have trained us to think that they won't be that different at...

14 Mar 20221h 21min

187 | Andrew Leigh on the Politics of Looming Disasters

187 | Andrew Leigh on the Politics of Looming Disasters

We're pretty well-calibrated when it comes to dealing with common, everyday-level setbacks. But our brains aren't naturally equipped for dealing with unlikely but world-catastrophic disasters. Yet suc...

7 Mar 20221h 20min

186 | Sherry Turkle on How Technology Affects Our Humanity

186 | Sherry Turkle on How Technology Affects Our Humanity

Advances in technology have gradually been extending the human self beyond its biological extent, as we augment who we are with a variety of interconnected devices. There are obvious benefits to this ...

28 Feb 20221h 11min

185 | Arvid Ågren on the Gene's-Eye View of Evolution

185 | Arvid Ågren on the Gene's-Eye View of Evolution

One of the brilliant achievements of Darwin's theory of natural selection was to help explain apparently "purposeful" or "designed" aspects of biology in a purely mechanistic theory of unguided evolut...

21 Feb 20221h 25min

184 | Gary Marcus on Artificial Intelligence and Common Sense

184 | Gary Marcus on Artificial Intelligence and Common Sense

Artificial intelligence is everywhere around us. Deep-learning algorithms are used to classify images, suggest songs to us, and even to drive cars. But the quest to build truly "human" artificial inte...

14 Feb 20221h 24min

AMA | February 2022

AMA | February 2022

Welcome to the February 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 qu...

10 Feb 20224h 15min

183 | Michael Dine on Supersymmetry, Anthropics, and the Future of Particle Physics

183 | Michael Dine on Supersymmetry, Anthropics, and the Future of Particle Physics

Modern particle physics is a victim of its own success. We have extremely good theories — so good that it's hard to know exactly how to move beyond them, since they agree with all the experiments. Yet...

7 Feb 20221h 39min

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