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(418)

118 | Adam Riess on the Expansion of the Universe and a Crisis in Cosmology

118 | Adam Riess on the Expansion of the Universe and a Crisis in Cosmology

Astronomers rocked the cosmological world with the 1998 discovery that the universe is accelerating. Well-deserved Nobel Prizes were awarded to Saul Perlmutter, Brian Schmidt, and today's guest Adam R...

12 Okt 20201h 18min

117 | Sean B. Carroll on Randomness and the Course of Evolution

117 | Sean B. Carroll on Randomness and the Course of Evolution

Evolution is a messy business, involving as it does selection pressures, mutations, genetic drift, and the effects of random external interventions. So in the end, how much of it is predictable, and h...

5 Okt 20201h 20min

116 | Teresa Bejan on Free Speech, Civility, and Toleration

116 | Teresa Bejan on Free Speech, Civility, and Toleration

How can, and should, we talk to each other, especially to people with whom we disagree? "Free speech" is rightfully entrenched as an important value in liberal democratic societies, but implementing i...

28 Sep 20201h 43min

115 | Netta Engelhardt on Black Hole Information, Wormholes, and Quantum Gravity

115 | Netta Engelhardt on Black Hole Information, Wormholes, and Quantum Gravity

Stephen Hawking made a number of memorable contributions to physics, but perhaps his greatest was a puzzle: what happens to information that falls into a black hole? The question sits squarely at the ...

21 Sep 20201h 27min

114 | Angela Chen on Asexuality in a Sex-Preoccupied World

114 | Angela Chen on Asexuality in a Sex-Preoccupied World

Sexuality is, and always has been, a topic that is endlessly fascinating but also contentious. You might think that asexuality would be more straightforward, but you'd be wrong. Asexual people, or "ac...

14 Sep 20201h 8min

113 | Cailin O'Connor on Game Theory, Evolution, and the Origins of Unfairness

113 | Cailin O'Connor on Game Theory, Evolution, and the Origins of Unfairness

You can't always get what you want, as a wise person once said. But we do try, even when someone else wants the same thing. Our lives as people, and the evolution of other animals over time, are shape...

7 Sep 20201h 19min

112 | Fyodor Urnov on Gene Editing, CRISPR, and Human Engineering

112 | Fyodor Urnov on Gene Editing, CRISPR, and Human Engineering

Not too long ago nobody carried a mobile phone; now almost everybody does. That's the kind of rate of rapid progress we're seeing with our ability to directly edit genomes. With the use of CRISPR-Cas9...

31 Aug 20201h 20min

111 | Nick Bostrom on Anthropic Selection and Living in a Simulation

111 | Nick Bostrom on Anthropic Selection and Living in a Simulation

Human civilization is only a few thousand years old (depending on how we count). So if civilization will ultimately last for millions of years, it could be considered surprising that we've found ourse...

24 Aug 20201h 20min

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