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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19 Nov 20181h 7min

22 | Joe Walston on Conservation, Urbanization, and the Way We Live on Earth

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21 | Alex Rosenberg on Naturalism, History, and Theory of Mind

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20 | Scott Derrickson on Cinema, Blockbusters, Horror, and Mystery

20 | Scott Derrickson on Cinema, Blockbusters, Horror, and Mystery

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29 Okt 20181h 23min

19 | Tyler Cowen on Maximizing Growth and Thinking for the Future

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22 Okt 201859min

18 | Clifford Johnson on What's So Great About Superstring Theory

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String theory is a speculative and highly technical proposal for uniting the known forces of nature, including gravity, under a single quantum-mechanical framework. This doesn't seem like a recipe for...

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