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(418)

110 | Neil Johnson on Complexity, Conflict, and Infodemiology

110 | Neil Johnson on Complexity, Conflict, and Infodemiology

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17 Aug 20201h 23min

109 | Jason Torchinsky on Our Self-Driving Future

109 | Jason Torchinsky on Our Self-Driving Future

It's easy to foresee that technological progress will change how we live; it's much harder to anticipate exactly how. Self-driving cars represent an enormous technological challenge, but one that is p...

10 Aug 20201h 18min

108 | Carl Bergstrom on Information, Disinformation, and Bullshit

108 | Carl Bergstrom on Information, Disinformation, and Bullshit

We are living, in case you haven't noticed, in a world full of bullshit. It's hard to say whether the amount is truly increasing, but it seems that everywhere you look someone is trying to convince yo...

3 Aug 20201h 24min

107 | Russ Shafer-Landau on the Reality of Morality

107 | Russ Shafer-Landau on the Reality of Morality

Despite occasional and important disagreements, most people are in rough agreement about what it means to be moral, to do the right thing. There's much less agreement about why we should be moral, or ...

27 Jul 20201h 30min

106 | Stuart Bartlett on What "Life" Means

106 | Stuart Bartlett on What "Life" Means

Someday, most likely, we will encounter life that is not as we know it. We might find it elsewhere in the universe, we might find it right here on Earth, or we might make it ourselves in a lab. Will w...

20 Jul 20201h 25min

105 | Ann-Sophie Barwich on the Science and Philosophy of Smell

105 | Ann-Sophie Barwich on the Science and Philosophy of Smell

We gather empirical evidence about the nature of the world through our senses, and use that evidence to construct an image of the world in our minds. But not all senses are created equal; in practice,...

13 Jul 20201h 17min

104 | David Rosen and Scott Miles on the Neuroscience of Music and Creativity

104 | David Rosen and Scott Miles on the Neuroscience of Music and Creativity

Creativity is one of those things that we all admire but struggle to define or make concrete. Music provides a useful laboratory in which to examine what creativity is all about — how do people become...

6 Jul 20201h 26min

103 | J. Kenji López-Alt on Cooking As and With Science

103 | J. Kenji López-Alt on Cooking As and With Science

Cooking is art, but it's also very much science — mostly chemistry, but with important contributions from physics and biology. (Almost like a well-balanced recipe…) And I can't think of anyone better ...

29 Jun 20201h 15min

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