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)

242 | David Krakauer on Complexity, Agency, and Information

242 | David Krakauer on Complexity, Agency, and Information

Complexity scientists have been able to make an impressive amount of progress despite the fact that there is not universal agreement about what "complexity" actually is. We know it when we see it, per...

10 Heinä 20231h 33min

AMA | July 2023

AMA | July 2023

Welcome to the July 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 Patreo...

3 Heinä 20233h 4min

241 | Tim Maudlin on Locality, Hidden Variables, and Quantum Foundations

241 | Tim Maudlin on Locality, Hidden Variables, and Quantum Foundations

Last year's Nobel Prize for experimental tests of Bell's Theorem was the first Nobel in the foundations of quantum mechanics since Max Born in 1954. Quantum foundations is enjoying a bit of a resurgen...

26 Kesä 20231h 33min

240 | Andrew Pontzen on Simulations and the Universe

240 | Andrew Pontzen on Simulations and the Universe

It's somewhat amazing that cosmology, the study of the universe as a whole, can make any progress at all. But it has, especially so in recent decades. Partly that's because nature has been kind to us ...

19 Kesä 20231h 26min

239 | Brian Lowery on the Social Self

239 | Brian Lowery on the Social Self

There is an image, especially in Western cultures, of the rugged, authentic, self-made individual choosing how to navigate the intricacies of the social world. But there is no mystical soul within us,...

12 Kesä 20231h 10min

AMA | June 2023

AMA | June 2023

Welcome to the June 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 Patreo...

5 Kesä 20232h 58min

238 | Scott Shapiro on the Technology and Philosophy of Hacking

238 | Scott Shapiro on the Technology and Philosophy of Hacking

Modern computers are somewhat more secure against being hacked - either by an inanimate virus or a human interloper - than they used to be. But as our lives are increasingly intertwined with computers...

29 Touko 20231h 27min

237 | Brooke Harrington on Offshore Wealth as a Complex System

237 | Brooke Harrington on Offshore Wealth as a Complex System

The modern world is large and interconnected, and there are a lot of systems that might be important to how it functions but about which most people are barely aware. One of these is the offshore weal...

22 Touko 20231h 18min

Suosittua kategoriassa Tiede

rss-mita-tulisi-tietaa
rss-poliisin-mieli
tiedekulma-podcast
utelias-mieli
rss-luontopodi-samuel-glassar-tutkii-luonnon-ihmeita
rss-duodecim-lehti
docemilia
radio-antro
filocast-filosofian-perusteet
rss-tervetta-skeptisyytta