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.


Jaksot(419)

AMA | June 2021

AMA | June 2021

Welcome to the June 2021 Ask Me Anything episode of Mindscape! These monthly excursions are funded by Patreon supporters (who are also the ones asking the questions). I take the large number of questi...

10 Kesä 20213h 18min

150 | Simon DeDeo on How Explanations Work and Why They Sometimes Fail

150 | Simon DeDeo on How Explanations Work and Why They Sometimes Fail

You observe a phenomenon, and come up with an explanation for it. That's true for scientists, but also for literally every person. (Why won't my car start? I bet it's out of gas.) But there are litera...

7 Kesä 20211h 32min

149 | Lee Smolin on Time, Philosophy, and the Nature of Reality

149 | Lee Smolin on Time, Philosophy, and the Nature of Reality

The challenge to a theoretical physicist pushing beyond our best current theories is that there are too many ways to go. What parts of the existing paradigm do you keep, which do you discard, and why ...

31 Touko 20211h 29min

148 | Henry Farrell on Democracy as a Problem-Solving Mechanism

148 | Henry Farrell on Democracy as a Problem-Solving Mechanism

Democracy posits the radical idea that political power and legitimacy should ultimately be found in all of the people, rather than a small group of experts or for that matter arbitrarily-chosen heredi...

24 Touko 20211h 26min

147 | Rachel Laudan on Cuisine, Culture, and Empire

147 | Rachel Laudan on Cuisine, Culture, and Empire

For as much as people talk about food, a good case can be made that we don't give it the attention or respect it actually deserves. Food is central to human life, and how we go about the process of cr...

17 Touko 20211h 16min

AMA | May 2021

AMA | May 2021

Welcome to the May 2021 Ask Me Anything episode of Mindscape! These monthly excursions are funded by Patreon supporters (who are also the ones asking the questions). I take the large number of questio...

13 Touko 20212h 58min

146 | Emily Riehl on Topology, Categories, and the Future of Mathematics

146 | Emily Riehl on Topology, Categories, and the Future of Mathematics

"A way that math can make the world a better place is by making it a more interesting place to be a conscious being." So says mathematician Emily Riehl near the start of this episode, and it's a good ...

10 Touko 20211h 16min

145 | Niall Ferguson on Histories, Networks, and Catastrophes

145 | Niall Ferguson on Histories, Networks, and Catastrophes

The world has gone through a tough time with the COVID-19 pandemic. Every catastrophic event is unique, but there are certain commonalities to how such crises play out in our modern interconnected wor...

3 Touko 20211h 25min

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