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)

226 | Johanna Hoffman on Speculative Futures of Cities

226 | Johanna Hoffman on Speculative Futures of Cities

Cities are incredibly important to modern life, and their importance is only growing. As Geoffrey West points out, the world is adding urban areas equivalent to the population of San Francisco once ev...

13 Helmi 20231h 12min

AMA | February 2023

AMA | February 2023

Welcome to the February 2023 Ask Me Anything episode of Mindscape! These monthly excursions are funded by Patreon supporters (who are also the ones asking the questions). We take questions asked by Pa...

6 Helmi 20233h 7min

225 | Michael Tomasello on The Social Origins of Cognition and Agency

225 | Michael Tomasello on The Social Origins of Cognition and Agency

Human beings have developed wondrous capacities to take in information about the world, mull it over, think about a suite of future implications, and decide on a course of action based on those delibe...

30 Tammi 20231h 22min

224 | Edward Tufte on Data, Design, and Truth

224 | Edward Tufte on Data, Design, and Truth

So you have some information — how are you going to share it with and present it to the rest of the world? There has been a long history of organizing and displaying information without putting too mu...

23 Tammi 20231h 16min

223 | Tania Lombrozo on What Explanations Are

223 | Tania Lombrozo on What Explanations Are

There are few human impulses more primal than the desire for explanations. We have expectations concerning what happens, and when what we experience differs from those expectations, we want to know th...

16 Tammi 20231h 10min

222 | Andrew Strominger on Quantum Gravity and the Real World

222 | Andrew Strominger on Quantum Gravity and the Real World

Quantum gravity research is inspired by experiment — all of the experimental data that supports quantum mechanics, and supports general relativity — but it's only inspiration, not detailed guidance. S...

9 Tammi 20231h 24min

221 | Adam Bulley on How Mental Time Travel Makes Us Human

221 | Adam Bulley on How Mental Time Travel Makes Us Human

One of the most powerful of all human capacities is the ability to imagine ourselves in hypothetical situations at different times. We can remember the past, but also conjure up possible futures that ...

2 Tammi 20231h 20min

Holiday Message 2022: Thinking Really Slowly

Holiday Message 2022: Thinking Really Slowly

Welcome to that beloved Mindscape annual tradition, the Holiday Message. An opportunity for a quicker and less-well-thought-out solo episode to round off another year. Ironically, this year the theme ...

19 Joulu 202247min

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