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.


Avsnitt(416)

315 | Branden Fitelson on the Logic and Use of Probability

315 | Branden Fitelson on the Logic and Use of Probability

Every time you see an apple spontaneously break away from a tree, it falls downward. You therefore claim that there is a law of physics: apples fall downward from trees. But how can you really know? A...

19 Maj 20251h 28min

314 | Karen Lloyd on the Deep Underground Biosphere

314 | Karen Lloyd on the Deep Underground Biosphere

There are living creatures dwelling deep below the surface of the Earth, as deep as we are able to drill. These hearty microorganisms are related to more familiar life forms on land and under water, b...

12 Maj 20251h 9min

313 | Eric Topol on the Changing Face of Medicine and Aging

313 | Eric Topol on the Changing Face of Medicine and Aging

Medical science is advancing at an astonishing rate. Today we talk with leading expert Eric Topol about two aspects of this story. First, the use of artificial intelligence in medicine, especially in ...

5 Maj 20251h 12min

AMA | May 2025

AMA | May 2025

Welcome to the May 2025 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 Patreon...

28 Apr 20253h 38min

312 | Thomas Levenson on the Mutual History of Humans and Germs

312 | Thomas Levenson on the Mutual History of Humans and Germs

The germ theory of disease is a crowning achievement of science, up there with modern physics, continental drift, and evolution via natural selection. (Even if there will always be cranky skeptics.) B...

21 Apr 20251h 31min

311 | Annaka Harris on Whether Consciousness is Fundamental

311 | Annaka Harris on Whether Consciousness is Fundamental

Questions about consciousness range from the precise and empirical -- what neurons fire when I have some particular experience -- to the deeply profound -- does consciousness emerge from matter, or do...

14 Apr 20251h 10min

AMA | April 2025

AMA | April 2025

Welcome to the April 2025 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...

7 Apr 20253h 30min

310 | Marc Kamionkowski on Dark Energy and Cosmic Anomalies

310 | Marc Kamionkowski on Dark Energy and Cosmic Anomalies

Cosmologists were, let us be honest, pretty stunned in 1998 when observations revealed that the universe is accelerating. There was an obvious plausible explanation, the cosmological constant proposed...

31 Mars 20251h 26min

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