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(419)

294 | Addy Pross on Dynamics, Stability, and Life

294 | Addy Pross on Dynamics, Stability, and Life

Erwin Schrödinger said that the important characteristic of life is that it "goes on doing something... for a much longer period than we would expect an inanimate piece of matter to keep going under s...

28 Okt 20241h 11min

293 | Doyne Farmer on Chaos, Crashes, and Economic Complexity

293 | Doyne Farmer on Chaos, Crashes, and Economic Complexity

A large economy is one of the best examples we have of complex dynamics. There are multiple components arranged in complicated overlapping hierarchies, out-of-equilibrium dynamics, nonlinear coupling ...

21 Okt 20241h 11min

292 | Jonathan Birch on Animal Sentience

292 | Jonathan Birch on Animal Sentience

It's not immoral to kick a rock; it is immoral to kick a baby. At what point do we start saying that it is wrong to cause pain to something? This question has less to do with "consciousness" and more ...

14 Okt 20241h 10min

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 Okt 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 Sep 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 Sep 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 Sep 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 Sep 20241h 6min

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