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)

269 | Sahar Heydari Fard on Complexity, Justice, and Social Dynamics

269 | Sahar Heydari Fard on Complexity, Justice, and Social Dynamics

When it comes to social change, two questions immediately present themselves: What kind of change do we want to see happen? And, how do we bring it about? These questions are distinct but related; the...

18 Mar 20241h 11min

AMA | March 2024

AMA | March 2024

Welcome to the March 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 Patre...

11 Mar 20243h 55min

268 | Matt Strassler on Relativity, Fields, and the Language of Reality

268 | Matt Strassler on Relativity, Fields, and the Language of Reality

In the 1860s, James Clerk Maxwell argued that light was a wave of electric and magnetic fields. But it took over four decades for physicists to put together the theory of special relativity, which cor...

4 Mar 20241h 30min

267 | Benjamin Breen on Margaret Mead, Psychedelics, and Utopia

267 | Benjamin Breen on Margaret Mead, Psychedelics, and Utopia

The twentieth century was something, wasn't it? Margaret Mead, as well as her onetime-husband Gregory Bateson, managed to play roles in several of its key developments: social anthropology and its imp...

26 Feb 20241h 13min

266 | Christoph Adami on How Information Makes Sense of Biology

266 | Christoph Adami on How Information Makes Sense of Biology

Evolution is sometimes described -- not precisely, but with some justification -- as being about the "survival of the fittest." But that idea doesn't work unless there is some way for one generation t...

19 Feb 20241h 20min

AMA | February 2024

AMA | February 2024

Welcome to the February 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 Pa...

12 Feb 20243h 24min

265 | John Skrentny on How the Economy Mistreats STEM Workers

265 | John Skrentny on How the Economy Mistreats STEM Workers

Universities and their students are constantly being encouraged to produce more graduates majoring in STEM fields -- science, technology, engineering, and mathematics. That's the kind of training that...

5 Feb 20241h 20min

264 | Sabine Stanley on What's Inside Planets

264 | Sabine Stanley on What's Inside Planets

The radius of the Earth is over 6,000 kilometers, but the deepest we've ever dug below the surface is only about 12 km. Yet we have a quite reliable idea of the structure of the Earth's interior -- in...

29 Jan 20241h 12min

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