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)

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18 | Clifford Johnson on What's So Great About Superstring Theory

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17 | Annalee Newitz on Science, Fiction, Economics, and Neurosis

17 | Annalee Newitz on Science, Fiction, Economics, and Neurosis

The job of science fiction isn't to predict the future; it's to tell interesting stories in an imaginative setting, exploring the implications of different ways the world could be different from our a...

8 Okt 20181h 11min

16 | Coleen Murphy on Aging, Biology, and the Future

16 | Coleen Murphy on Aging, Biology, and the Future

Aging -- everybody does it, very few people actually do something about it. Coleen Murphy is an exception. In her laboratory at Princeton, she and her team study aging in the famous C. Elegans roundwo...

1 Okt 20181h 4min

15 | David Poeppel on Thought, Language, and How to Understand the Brain

15 | David Poeppel on Thought, Language, and How to Understand the Brain

Language comes naturally to us, but is also deeply mysterious. On the one hand, it manifests as a collection of sounds or marks on paper. On the other hand, it also conveys meaning – words and sentenc...

8 Sep 20181h 24min

14 | Alta Charo on Bioethics and the Law

14 | Alta Charo on Bioethics and the Law

To paraphrase Ian Malcolm in Jurassic Park, scientists tend to focus on whether they can do something, not whether they should. Questions of what we should do tend to wander away from the pristine bea...

8 Sep 20181h 8min

13 | Neha Narula on Blockchain, Cryptocurrency, and the Future of the Internet

13 | Neha Narula on Blockchain, Cryptocurrency, and the Future of the Internet

For something of such obvious importance, money is kind of mysterious. It can, as Homer Simpson once memorably noted, be exchanged for goods and services. But who decides exactly how many goods/servic...

8 Sep 20181h 6min

12 | Wynton Marsalis on Jazz, Time, and America

12 | Wynton Marsalis on Jazz, Time, and America

Jazz occupies a special place in the American cultural landscape. It's played in elegant concert halls and run-down bars, and can feature esoteric harmonic experimentation or good old-fashioned foot-s...

4 Sep 20181h 1min

11 | Mike Brown on Killing Pluto and Replacing It with Planet 9

11 | Mike Brown on Killing Pluto and Replacing It with Planet 9

Few events in recent astronomical history have had the worldwide emotional resonance as the 2006 announcement that Pluto was no longer considered a planet, at least as far as the International Astrono...

27 Aug 20181h 17min

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