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)

163 | Nigel Goldenfeld on Phase Transitions, Criticality, and Biology

163 | Nigel Goldenfeld on Phase Transitions, Criticality, and Biology

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6 Sep 20211h 31min

162 | Leidy Klotz on Our Resistance to Subtractive Change

162 | Leidy Klotz on Our Resistance to Subtractive Change

There is no general theory of problem-solving, or even a reliable set of principles that will usually work. It's therefore interesting to see how our brains actually go about solving problems. Here's ...

30 Aug 20211h 14min

161 | W. Brian Arthur on Complexity Economics

161 | W. Brian Arthur on Complexity Economics

Economies in the modern world are incredibly complex systems. But when we sit down to think about them in quantitative ways, it's natural to keep things simple at first. We look for reliable relations...

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160 | Edward Slingerland on Confucianism, Daoism, and Wu Wei

160 | Edward Slingerland on Confucianism, Daoism, and Wu Wei

Plato and Aristotle founded much of what we think of as Western philosophy during the fourth and fifth centuries BCE. Interestingly, that historical period also witnessed the foundation of some of the...

16 Aug 20211h 23min

AMA | August 2021

AMA | August 2021

Welcome to the August 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 ques...

12 Aug 20213h 11min

159 | Mari Ruti on Lack, Love, and Psychoanalysis

159 | Mari Ruti on Lack, Love, and Psychoanalysis

Neuroscience has given us great insights into how our brains work. But there is still room for purely humanistic disciplines to help us think through our thoughts and emotions, not to mention the mean...

9 Aug 20211h 49min

158 | David Wallace on the Arrow of Time

158 | David Wallace on the Arrow of Time

The arrow of time — all the ways in which the past differs from the future — is a fascinating subject because it connects everyday phenomena (memory, aging, cause and effect) to deep questions in phys...

2 Aug 20211h 47min

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 Jul 20211h 17min

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