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 | October 2024

AMA | October 2024

Welcome to the October 2024 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 Pat...

7 Loka 20244h 29min

291 | Venki Ramakrishnan on the Biology of Death and Aging

291 | Venki Ramakrishnan on the Biology of Death and Aging

Aging and death happen to the best of us, but there are increasing efforts to do something about it. That effort requires that we have some reasonable understanding of why aging happens, and what proc...

30 Syys 20241h 20min

290 | Hahrie Han on Making Multicultural Democracy Work

290 | Hahrie Han on Making Multicultural Democracy Work

It's a wonder democracy works at all -- a collection of people with potentially different interests have to agree to abide by majority vote even when it goes against their desires. But as we know, it ...

23 Syys 20241h 15min

289 | Cari Cesarotti on the Next Generation of Particle Experiments

289 | Cari Cesarotti on the Next Generation of Particle Experiments

As an experimental facility, the Large Hadron Collider at CERN in Geneva has been extraordinarily successful, discovering the Higgs boson and measuring multiple features of particle-physics interactio...

16 Syys 20241h 21min

288 | Max Richter on the Meaning of Classical Music Today

288 | Max Richter on the Meaning of Classical Music Today

It wasn't that long ago, historically speaking, that you might put on your tuxedo or floor-length evening gown to go out and hear a live opera or symphony. But today's world is faster, more technologi...

9 Syys 20241h 6min

AMA | September 2024

AMA | September 2024

Welcome to the September 2024 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 P...

2 Syys 20243h 50min

287 | Jean-Paul Faguet on Institutions and the Legacy of History

287 | Jean-Paul Faguet on Institutions and the Legacy of History

One common feature of complex systems is sensitive dependence on initial conditions: a small change in how systems begin evolving can lead to large differences in their later behavior. In the social s...

26 Elo 20241h 32min

286 | Blaise Agüera y Arcas on the Emergence of Replication and Computation

286 | Blaise Agüera y Arcas on the Emergence of Replication and Computation

Understanding how life began on Earth involves questions of chemistry, geology, planetary science, physics, and more. But the question of how random processes lead to organized, self-replicating, info...

19 Elo 20241h 20min

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