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.

Support Mindscape on Patreon.

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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Avsnitt(427)

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

340 | Rebecca Newberger Goldstein on What Matters and Why It Matters

340 | Rebecca Newberger Goldstein on What Matters and Why It Matters

At any given moment, an uncountable number of events are happening, but only some of them matter to us. What does it mean for something to matter, and more importantly, what does it mean for us to mat...

12 Jan 1h 18min

339 | Ned Block on Whether Consciousness Requires Biology

339 | Ned Block on Whether Consciousness Requires Biology

It's become increasingly clear that the Turing Test -- determining whether human interlocutors can tell whether a conversation is being carried out by a human or a machine -- is not a good way to thin...

5 Jan 1h 11min

Holiday Message 2025 | The Romance of the University

Holiday Message 2025 | The Romance of the University

Time for the holiday message! Rounding off the year with a brief and casual reflection on some issue that doesn't quite rise to the level of a full solo podcast. And hopefully something uplifting. Thi...

22 Dec 202542min

AMA | December 2025

AMA | December 2025

Welcome to the December 2025 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...

15 Dec 20253h 36min

338 | Ryan Patterson on the Physics of Neutrinos

338 | Ryan Patterson on the Physics of Neutrinos

The story goes that Wolfgang Pauli, who first proposed the existence of neutrinos, was embarrassed to have done so, as it was considered uncouth to hypothesize new particles that could not be detected...

8 Dec 20251h 26min

337 | Kevin Zollman on Game Theory, Signals, and Meaning

337 | Kevin Zollman on Game Theory, Signals, and Meaning

Game theory is a way of quantitatively describing what happens any time one thing interacts with another thing, when both things have goals and potential rewards. That's a pretty broad class of intere...

1 Dec 20251h 17min

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