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.


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125 | David Haig on the Evolution of Meaning from Darwin to Derrida

125 | David Haig on the Evolution of Meaning from Darwin to Derrida

Aristotle conceived of the world in terms of teleological "final causes"; Darwin, or so the story goes, erased purpose and meaning from the world, replacing them with a bloodless scientific algorithm....

30 Nov 20201h 15min

124 | Solo: How Time Travel Could and Should Work

124 | Solo: How Time Travel Could and Should Work

Time! It doesn't stop, psychological effects of being under lockdown notwithstanding. How we experience time depends on our situation, but time itself just marches forward. Unless, of course, it's pos...

23 Nov 20202h 41min

AMA | November 2020

AMA | November 2020

As you have likely heard me mention before, I have an account on Patreon, where people can sign up to donate a dollar or two per episode of Mindscape. In return they get two tangible (if minor) benefi...

20 Nov 20203h 12min

123 | Lisa Feldman Barrett on Emotions, Actions, and the Brain

123 | Lisa Feldman Barrett on Emotions, Actions, and the Brain

Emotions are at the same time utterly central to who we are — where would we be without them? — and also seemingly peripheral to the "real" work our brains do, understanding the world and acting withi...

16 Nov 20201h 17min

122 | David Eagleman on Tapping Into the Livewired Brain

122 | David Eagleman on Tapping Into the Livewired Brain

Imagine you were locked in a sealed room, with no way to access the outside world but a few screens showing a view of what's outside. Seems scary and limited, but that's essentially the situation that...

9 Nov 20201h 17min

121 | Cornel West on What Democracy Is and Should Be

121 | Cornel West on What Democracy Is and Should Be

This episode is published on November 2, 2020, the day before an historic election in the United States. An election that comes amidst growing worries about the future of democratic governance, as wel...

2 Nov 20201h 21min

120 | Jeremy England on Biology, Thermodynamics, and the Bible

120 | Jeremy England on Biology, Thermodynamics, and the Bible

Erwin Schrödinger's famous book What Is Life? highlighted the connections between physics, and thermodynamics in particular, and the nature of living beings. But the exact connections between living o...

26 Okt 20201h 28min

119 | Musa al-Gharbi on the Value of Intellectual Diversity

119 | Musa al-Gharbi on the Value of Intellectual Diversity

In the service of seeking truth, there would seem to be value in intellectual diversity, both in keeping ourselves honest and in the possibility of new ideas coming from unexpected quarters. That's tr...

19 Okt 20201h 16min

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