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.


Episoder(418)

79 | Sara Imari Walker on Information and the Origin of Life

79 | Sara Imari Walker on Information and the Origin of Life

We are all alive, but "life" is something we struggle to understand. How do we distinguish a "living organism" from an emergent dynamical system like a hurricane, or a resource-consuming chemical reac...

13 Jan 20201h 23min

78 | Daniel Dennett on Minds, Patterns, and the Scientific Image

78 | Daniel Dennett on Minds, Patterns, and the Scientific Image

Wilfrid Sellars described the task of philosophy as explaining how things, in the broadest sense of term, hang together, in the broadest sense of the term. (Substitute "exploring" for "explaining" and...

6 Jan 20202h 1min

Holiday Message 2019: On Publishing Books

Holiday Message 2019: On Publishing Books

Welcome to the second annual Mindscape Holiday Message! No substantive content or deep ideas, just me talking a bit about the state of the podcast and what's on my mind. Since the big event for me in ...

22 Des 20191h 6min

77 | Azra Raza on The Way We Should Fight Cancer

77 | Azra Raza on The Way We Should Fight Cancer

In the United States, more than one in five deaths is caused by cancer. The medical community has put enormous resources into fighting this disease, yet its causes and best treatments continue to be a...

16 Des 20191h 22min

76 | Ned Hall on Possible Worlds and the Laws of Nature

76 | Ned Hall on Possible Worlds and the Laws of Nature

It's too easy to take laws of nature for granted. Sure, gravity is pulling us toward Earth today; but how do we know it won't be pushing us away tomorrow? We extrapolate from past experience to future...

9 Des 20191h 25min

75 | Max Tegmark on Reality, Simulation, and the Multiverse

75 | Max Tegmark on Reality, Simulation, and the Multiverse

We've talked a lot recently about the Many Worlds of quantum mechanics. That's one kind of multiverse that physicists often contemplate. There is also the cosmological multiverse, which we talked abou...

2 Des 20191h 11min

74 | Stephen Greenblatt on Stories, History, and Cultural Poetics

74 | Stephen Greenblatt on Stories, History, and Cultural Poetics

An infinite number of things happen; we bring structure and meaning to the world by making art and telling stories about it. Every work of literature created by human beings comes out of an historical...

25 Nov 20191h 6min

73 | Grimes (c) on Music, Creativity, and Digital Personae

73 | Grimes (c) on Music, Creativity, and Digital Personae

Changing technologies have always affected how we produce and enjoy art, and music might be the most obvious example. Radio and recordings made it easy for professional music to be widely disseminated...

18 Nov 20191h 18min

Populært innen Vitenskap

fastlegen
tingenes-tilstand
rss-nysgjerrige-norge
rekommandert
forskningno
liberal-halvtime
sinnsyn
vett-og-vitenskap-med-gaute-einevoll
rss-rekommandert
smart-forklart
fjellsportpodden
jss
villmarksliv
pod-britannia
rss-overskuddsliv
rss-radium
nevropodden
hva-er-greia-med
dekodet-2
rss-inn-til-kjernen-med-sunniva-rose