i'm sceptical and play the devil's advocate. So i tried to come up with a good example hereand i'm not sure i i succeeded, but here is my example. A, i put an elephant on the cardboard airplane. Will it fly? Do you have any is this a reason able ask for a i to be able to answer questions like that? And from a hopeful viewpoint, i would like to say yes. I these are, these are controversial questions. We don't know the answer. That's why i'm just sort of, it's fun to draw these connections,. But if i am, youll part of my job as podcast host is is to be scept
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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