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.

Support Mindscape on Patreon.

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(416)

230 | Raphaël Millière on How Artificial Intelligence Thinks

230 | Raphaël Millière on How Artificial Intelligence Thinks

Welcome to another episode of Sean Carroll's Mindscape. Today, we're joined by Raphaël Millière, a philosopher and cognitive scientist at Columbia University. We'll be exploring the fascinating topic ...

20 Maalis 20231h 57min

229 | Nita Farahany on Ethics, Law, and Neurotechnology

229 | Nita Farahany on Ethics, Law, and Neurotechnology

Every time our brain does some thinking, there are associated physical processes. In particular, electric currents and charged particles jump between neurons, creating associated electromagnetic field...

13 Maalis 20231h 12min

AMA | March 2023

AMA | March 2023

Welcome to the March 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 Patre...

6 Maalis 20233h 1min

228 | Skye Cleary on Existentialism and Authenticity

228 | Skye Cleary on Existentialism and Authenticity

God is dead, as Nietzsche's madman memorably reminded us. So what are we going to do about it? If there is no powerful force out there to guide us and give meaning to our lives, how are we supposed to...

27 Helmi 20231h 16min

227 | Molly Crockett on the Psychology of Morality

227 | Molly Crockett on the Psychology of Morality

Most of us strive to be good, moral people. When we are doing that striving, what is happening in our brains? Some of our moral inclinations seem pretty automatic and subconscious. Other times we have...

20 Helmi 20231h 11min

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

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