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(423)

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90 | David Kaiser on Science, Money, and Power

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89 | Lera Boroditsky on Language, Thought, Space, and Time

89 | Lera Boroditsky on Language, Thought, Space, and Time

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88 | Neil Shubin on Evolution, Genes, and Dramatic Transitions

88 | Neil Shubin on Evolution, Genes, and Dramatic Transitions

"What good is half a wing?" That's the rhetorical question often asked by people who have trouble accepting Darwin's theory of evolution by natural selection. Of course it's a very answerable question...

16 Mar 20201h 33min

87 | Karl Friston on Brains, Predictions, and Free Energy

87 | Karl Friston on Brains, Predictions, and Free Energy

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9 Mar 20201h 29min

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 Mar 20201h 40min

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

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