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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48 | Marq de Villiers on Hell and Damnation

48 | Marq de Villiers on Hell and Damnation

If you're bad, we are taught, you go to Hell. Who in the world came up with that idea? Some will answer God, but for the purpose of today's podcast discussion we'll put that possibility aside and look...

27 Maj 20191h 11min

47 | Adam Rutherford on Humans, Animals, and Life in General

47 | Adam Rutherford on Humans, Animals, and Life in General

Most people in the modern world — and the vast majority of Mindscape listeners, I would imagine — agree that humans are part of the animal kingdom, and that all living animals evolved from a common an...

20 Maj 20191h 38min

46 | Kate Darling on Our Connections with Robots

46 | Kate Darling on Our Connections with Robots

Most of us have no trouble telling the difference between a robot and a living, feeling organism. Nevertheless, our brains often treat robots as if they were alive. We give them names, imagine that th...

13 Maj 20191h 6min

45 | Leonard Susskind on Quantum Information, Quantum Gravity, and Holography

45 | Leonard Susskind on Quantum Information, Quantum Gravity, and Holography

For decades now physicists have been struggling to reconcile two great ideas from a century ago: general relativity and quantum mechanics. We don't yet know the final answer, but the journey has taken...

6 Maj 20191h 13min

44 | Antonio Damasio on Feelings, Thoughts, and the Evolution of Humanity

44 | Antonio Damasio on Feelings, Thoughts, and the Evolution of Humanity

When we talk about the mind, we are constantly talking about consciousness and cognition. Antonio Damasio wants us to talk about our feelings. But it's not in an effort to be more touchy-feely; Damasi...

29 Apr 20191h 12min

43 | Matthew Luczy on the Pleasures of Wine

43 | Matthew Luczy on the Pleasures of Wine

Some people never drink wine; for others, it's an indispensable part of an enjoyable meal. Whatever your personal feelings might be, wine seems to exhibit a degree of complexity and nuance that can be...

22 Apr 20191h 46min

42 | Natalya Bailey on Navigating Earth Orbit and Beyond

42 | Natalya Bailey on Navigating Earth Orbit and Beyond

The space age officially began in 1957 with the launch of the Sputnik 1 satellite. But recent years have seen the beginning of a boom in the number of objects orbiting Earth, as satellite tracking and...

15 Apr 201959min

41 | Steven Strogatz on Synchronization, Networks, and the Emergence of Complex Behavior

41 | Steven Strogatz on Synchronization, Networks, and the Emergence of Complex Behavior

One of the most important insights in the history of science is the fact that complex behavior can arise from the undirected movements of small, simple systems. Despite the fact that we know this, we'...

8 Apr 20191h 14min

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