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

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

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12 Nov 20181h 28min

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

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

We humans love to tell ourselves stories about why things happened the way they did; if the stories are sufficiently serious, we label this activity "history." Part of getting history right is simply ...

5 Nov 20181h 20min

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

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

Special Halloween edition? Scott Derrickson is a film-lover first and a director second, but he's been quite successful at the latter -- you may know him as the director and co-writer of Marvel's Doct...

29 Okt 20181h 23min

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

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

Economics, like other sciences (social and otherwise), is about what the world does; but it's natural for economists to occasionally wander out into the question of what we should do as we live in the...

22 Okt 201859min

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

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

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...

15 Okt 20181h 12min

17 | Annalee Newitz on Science, Fiction, Economics, and Neurosis

17 | Annalee Newitz on Science, Fiction, Economics, and Neurosis

The job of science fiction isn't to predict the future; it's to tell interesting stories in an imaginative setting, exploring the implications of different ways the world could be different from our a...

8 Okt 20181h 11min

16 | Coleen Murphy on Aging, Biology, and the Future

16 | Coleen Murphy on Aging, Biology, and the Future

Aging -- everybody does it, very few people actually do something about it. Coleen Murphy is an exception. In her laboratory at Princeton, she and her team study aging in the famous C. Elegans roundwo...

1 Okt 20181h 4min

15 | David Poeppel on Thought, Language, and How to Understand the Brain

15 | David Poeppel on Thought, Language, and How to Understand the Brain

Language comes naturally to us, but is also deeply mysterious. On the one hand, it manifests as a collection of sounds or marks on paper. On the other hand, it also conveys meaning – words and sentenc...

8 Sep 20181h 24min

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