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.


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86 | Martin Rees on Threats to Humanity, Prospects for Posthumanity, and Life in the Universe

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Anyone who has read histories of the Cold War, including the Cuban Missile Crisis and the 1983 nuclear false alarm, must be struck by how incredibly close humanity has come to wreaking incredible dest...

2 Mars 20201h 40min

85 | L.A. Paul on Transformative Experiences and Your Future Selves

85 | L.A. Paul on Transformative Experiences and Your Future Selves

It's hard to make decisions that will change your life. It's even harder to make a decision if you know that the outcome could change who you are. Our preferences are determined by who we are, and the...

24 Feb 20201h 14min

84 | Suresh Naidu on Capitalism, Monopsony, and Inequality

84 | Suresh Naidu on Capitalism, Monopsony, and Inequality

Nations generally want their economies to be rich, robust, and growing. But it's also important to person to ensure that wealth doesn't flow only to a few people, but rather that as many people as pos...

17 Feb 20201h 26min

83 | Kwame Anthony Appiah on Identity, Stories, and Cosmopolitanism

83 | Kwame Anthony Appiah on Identity, Stories, and Cosmopolitanism

The Greek statesman Demosthenes is credited with saying "I am a citizen of the world," and the idea that we should take a cosmopolitan view of our common humanity is a compelling one. Not everyone agr...

10 Feb 20201h 38min

82 | Robin Carhart-Harris on Psychedelics and the Brain

82 | Robin Carhart-Harris on Psychedelics and the Brain

The Convention on Psychotropic Substances was a 1971 United Nations treaty that placed strong restrictions on the use of psychedelic drugs — not only on personal use, but medical and scientific resear...

3 Feb 20201h 17min

81 | Ezra Klein on Politics, Polarization, and Identity

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People have always disagreed about politics, passionately and sometimes even violently. But in certain historical moments these disagreements were distributed without strong correlations, so that any ...

27 Jan 20201h 21min

80 | Jenann Ismael on Connecting Physics to the World of Experience

80 | Jenann Ismael on Connecting Physics to the World of Experience

Physics is simple; people are complicated. But even people are ultimately physical systems, made of particles and forces that follow the rules of the Core Theory. How do we bridge the gap from one kin...

20 Jan 20201h 26min

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