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.


Jaksot(416)

70 | Katie Mack on How the Universe Will End

70 | Katie Mack on How the Universe Will End

Cosmologists are always talking excitedly about the Big Bang and all the cool stuff that happened in the 14 billion years between then and now. But what about the future? We don't know for sure, but w...

28 Loka 20191h 23min

69 | Cory Doctorow on Technology, Monopoly, and the Future of the Internet

69 | Cory Doctorow on Technology, Monopoly, and the Future of the Internet

Like so many technological innovations, the internet is something that burst on the scene and pervaded human life well before we had time to sit down and think through how something like that should w...

21 Loka 20191h 17min

68 | Melanie Mitchell on Artificial Intelligence and the Challenge of Common Sense

68 | Melanie Mitchell on Artificial Intelligence and the Challenge of Common Sense

Artificial intelligence is better than humans at playing chess or go, but still has trouble holding a conversation or driving a car. A simple way to think about the discrepancy is through the lens of ...

14 Loka 20191h 22min

67 | Kate Jeffery on Entropy, Complexity, and Evolution

67 | Kate Jeffery on Entropy, Complexity, and Evolution

Our observable universe started out in a highly non-generic state, one of very low entropy, and disorderliness has been growing ever since. How, then, can we account for the appearance of complex syst...

7 Loka 20191h 12min

66 | Will Wilkinson on Partisan Polarization and the Urban/Rural Divide

66 | Will Wilkinson on Partisan Polarization and the Urban/Rural Divide

The idea of "red states" and "blue states" burst on the scene during the 2000 U.S. Presidential elections, and has a been a staple of political commentary ever since. But it's become increasingly clea...

30 Syys 20191h 52min

65 | Michael Mann on Why Our Climate Is Changing and How We Know

65 | Michael Mann on Why Our Climate Is Changing and How We Know

We had our fun last week, exploring how progress in renewable energy and electric vehicles may help us combat encroaching climate change. This week we're being a bit more hard-nosed, taking a look at ...

23 Syys 20191h 17min

64 | Ramez Naam on Renewable Energy and an Optimistic Future

64 | Ramez Naam on Renewable Energy and an Optimistic Future

The Earth is heating up, and it's our fault. But human beings are not always complete idiots (occasional contrary evidence notwithstanding), and sometimes we can even be downright clever. Dare we imag...

16 Syys 20191h 16min

63 | Solo -- Finding Gravity Within Quantum Mechanics

63 | Solo -- Finding Gravity Within Quantum Mechanics

I suspect most loyal Mindscape listeners have been exposed to the fact that I've written a new book, Something Deeply Hidden: Quantum Worlds and the Emergence of Spacetime. As I release this episode o...

9 Syys 20191h 50min

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