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(416)

7 | Yascha Mounk on Threats to Liberal Democracy

7 | Yascha Mounk on Threats to Liberal Democracy

Both words in the phrase "liberal democracy" carry meaning, and both concepts are under attack around the world. "Democracy" means that they people rule, while "liberal" (in this sense) means that the...

30 Jul 20181h 5min

6 | Liv Boeree on Poker, Aliens, and Thinking in Probabilities

6 | Liv Boeree on Poker, Aliens, and Thinking in Probabilities

Poker, like life, is a game of incomplete information. To do well in such a game, we have to think in terms of probabilities, unpredictable strategies, and Bayesian inference. These are ideas that pla...

23 Jul 20181h 10min

5 | Geoffrey West on Networks, Scaling, and the Pace of Life

5 | Geoffrey West on Networks, Scaling, and the Pace of Life

If you scale up an animal to twice its height, keeping everything else proportionate, its volume and weight become eight times as much. Such a scaling relation was used by J.B.S. Haldane in his famous...

16 Jul 20181h 23min

4 |  Anthony Pinn on Humanism, Theology, and the Black Community

4 | Anthony Pinn on Humanism, Theology, and the Black Community

According to atheism, God does not exist. But religions have traditionally done much more than simply proclaim God's existence: they have provided communities, promoted the arts, handed down moral gui...

12 Jul 20181h

3 | Alice Dreger on Sexuality, Truth, and Justice

3 | Alice Dreger on Sexuality, Truth, and Justice

The human mind loves nothing more than to build mental boxes -- categories -- and put things into them, then refuse to accept it when something doesn't fit. Nowhere is this more clear than in the idea...

11 Jul 20181h 20min

2 | Carlo Rovelli on Quantum Mechanics, Spacetime, and Reality

2 | Carlo Rovelli on Quantum Mechanics, Spacetime, and Reality

Quantum mechanics and general relativity are the two great triumphs of twentieth-century theoretical physics. Unfortunately, they don't play well together -- despite years of effort, we currently lack...

10 Jul 20181h 12min

1 | Carol Tavris on Mistakes, Justification, and Cognitive Dissonance

1 | Carol Tavris on Mistakes, Justification, and Cognitive Dissonance

For the first full episode of Mindscape, it's an honor to welcome social psychologist Carol Tavris. Her book with co-author Eliot Aronson, Mistakes Were Made (But Not By Me), explores the effect that ...

4 Jul 20181h 11min

Welcome to the Mindscape Podcast!

Welcome to the Mindscape Podcast!

I've decided to officially take the plunge into the world of podcasting. The new show will be called Mindscape, and will mostly consist of me talking to smart people about interesting ideas. (Occasion...

1 Jul 201816min

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