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(419)

157 | Elizabeth Strychalski on Synthetic Cells and the Rules of Biology

157 | Elizabeth Strychalski on Synthetic Cells and the Rules of Biology

Natural selection has done a pretty good job at creating a wide variety of living species, but we humans can't help but wonder whether we could do better. Using existing genomes as a starting point, b...

26 Heinä 20211h 17min

156 | Catherine D'Ignazio on Data, Objectivity, and Bias

156 | Catherine D'Ignazio on Data, Objectivity, and Bias

How can data be biased? Isn't it supposed to be an objective reflection of the real world? We all know that these are somewhat naive rhetorical questions, since data can easily inherit bias from the p...

19 Heinä 20211h 28min

155 | Stephen Wolfram on Computation, Hypergraphs, and Fundamental Physics

155 | Stephen Wolfram on Computation, Hypergraphs, and Fundamental Physics

It's not easy, figuring out the fundamental laws of physics. It's even harder when your chosen methodology is to essentially start from scratch, positing a simple underlying system and a simple set of...

12 Heinä 20212h 40min

AMA | July 2021

AMA | July 2021

Welcome to the July 2021 Ask Me Anything episode of Mindscape! These monthly excursions are funded by Patreon supporters (who are also the ones asking the questions). I take the large number of questi...

9 Heinä 20213h 49min

154 | Reza Aslan on Religion, Metaphor, and Meaning

154 | Reza Aslan on Religion, Metaphor, and Meaning

Religion is an important part of the lives of billions of people around the world, but what religious belief actually amounts to can vary considerably from person to person. Some believe in an anthrop...

5 Heinä 20211h 25min

153 | John Preskill on Quantum Computers and What They're Good For

153 | John Preskill on Quantum Computers and What They're Good For

Depending on who you listen to, quantum computers are either the biggest technological change coming down the road or just another overhyped bubble. Today we're talking with a good person to listen to...

28 Kesä 20211h 32min

152 | Charis Kubrin on Criminology, Incarceration, and Hip-Hop

152 | Charis Kubrin on Criminology, Incarceration, and Hip-Hop

It's all well and good to talk abstractly about morality and justice, but at some point you have to sit down and figure out what to do about people who break the rules. In our modern legal system, mos...

21 Kesä 20211h 19min

151 | Jordan Ellenberg on the Mathematics of Political Boundaries

151 | Jordan Ellenberg on the Mathematics of Political Boundaries

Any system in which politicians represent geographical districts with boundaries chosen by the politicians themselves is vulnerable to gerrymandering: carving up districts to increase the amount of se...

14 Kesä 20211h 23min

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