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(417)

346 | Erica Cartmill on How Human and Animal Minds Think and Play

346 | Erica Cartmill on How Human and Animal Minds Think and Play

Intelligence is a many splendored thing, especially when it comes to comparisons between species. Chimpanzees are better than humans at some numerical tasks, but less good at understanding what number...

9 Mar 1h 28min

AMA | March 2026

AMA | March 2026

Welcome to the March 2026 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 Patre...

2 Mar 3h 53min

345 | Adam Elga on Being Rational in a Very Large Universe

345 | Adam Elga on Being Rational in a Very Large Universe

Behaving rationally involves facing up to conditions of uncertainty; we never navigate the world with perfect confidence. Sometimes we are uncertain about the way the world is, but we can also be unce...

23 Feb 1h 34min

344 | Adam Gurri on Liberal Democracy and How to Fight For It

344 | Adam Gurri on Liberal Democracy and How to Fight For It

It's possible to look at the course of history over the past few centuries and discern a movement toward increasing democracy, freedom, and individual rights -- "liberalism," in the political-philosop...

16 Feb 1h 21min

343 | Tom Griffiths on The Laws of Thought

343 | Tom Griffiths on The Laws of Thought

For all that human beings spend a lot of their time thinking, it's far from obvious what that process actually entails. Part of it amounts to classical logical reasoning. But an even bigger part invol...

9 Feb 1h 19min

AMA | Feb 2026

AMA | Feb 2026

Welcome to the February 2026 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 Pa...

2 Feb 3h 10min

342 | Rachell Powell on Evolutionary Convergence, Morality, and Mind

342 | Rachell Powell on Evolutionary Convergence, Morality, and Mind

Evolution with natural selection involves an intricate mix of the random and the driven. Mutations are essentially random, while selection pressures work to prefer certain outcomes over others. There ...

26 Jan 1h 37min

341 | Stewart Brand on Maintenance as an Organizing Principle

341 | Stewart Brand on Maintenance as an Organizing Principle

"Things fall apart; the centre cannot hold," wrote W.B. Yeats. I don't know about the centre, but the tendency of things to fall apart is pretty universal, ultimately due to the Second Law of Thermody...

19 Jan 1h 12min

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