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)

170 | Priya Natarajan on Galaxies, Black Holes, and Cosmic Anomalies

170 | Priya Natarajan on Galaxies, Black Holes, and Cosmic Anomalies

There is so much we don't know about our universe. But our curiosity about the unknown shouldn't blind us to the incredible progress we have made in cosmology over the last century. We know the univer...

25 Loka 20211h 27min

169 | C. Thi Nguyen on Games, Art, Values, and Agency

169 | C. Thi Nguyen on Games, Art, Values, and Agency

Games are everywhere, but why exactly do we play them? It seems counterintuitive, to artificially invent goals and obstacles just so we can struggle to achieve them. (And in some games, like Twister, ...

18 Loka 20211h 24min

AMA | October 2021

AMA | October 2021

Welcome to the October 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 que...

14 Loka 20212h 59min

168 | Anil Seth on Emergence, Information, and Consciousness

168 | Anil Seth on Emergence, Information, and Consciousness

Those of us who think that that the laws of physics underlying everyday life are completely known tend to also think that consciousness is an emergent phenomenon that must be compatible with those law...

11 Loka 20211h 25min

167 | Chiara Marletto on Constructor Theory, Physics, and Possibility

167 | Chiara Marletto on Constructor Theory, Physics, and Possibility

Traditional physics works within the "Laplacian paradigm": you give me the state of the universe (or some closed system), some equations of motion, then I use those equations to evolve the system thro...

4 Loka 20211h 35min

166 | Betül Kaçar on Paleogenomics and Ancient Life

166 | Betül Kaçar on Paleogenomics and Ancient Life

In the question to understand the biology of life, we are (so far) limited to what happened here on Earth. That includes the diversity of biological organisms today, but also its entire past history. ...

27 Syys 20211h 14min

165 | Kathryn Paige Harden on Genetics, Luck, and Fairness

165 | Kathryn Paige Harden on Genetics, Luck, and Fairness

It's pretty clear that our genes affect, though they don't completely determine, who we grow up to be; children's physical and mental characteristics are not completely unrelated to those of their par...

20 Syys 20211h 25min

AMA | September 2021

AMA | September 2021

Welcome to the September 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 q...

16 Syys 20213h 38min

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