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(412)

42 | Natalya Bailey on Navigating Earth Orbit and Beyond

42 | Natalya Bailey on Navigating Earth Orbit and Beyond

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15 Apr 201959min

41 | Steven Strogatz on Synchronization, Networks, and the Emergence of Complex Behavior

41 | Steven Strogatz on Synchronization, Networks, and the Emergence of Complex Behavior

One of the most important insights in the history of science is the fact that complex behavior can arise from the undirected movements of small, simple systems. Despite the fact that we know this, we'...

8 Apr 20191h 14min

40 | Adrienne Mayor on Gods and Robots in Ancient Mythology

40 | Adrienne Mayor on Gods and Robots in Ancient Mythology

The modern world is full of technology, and also with anxiety about technology. We worry about robot uprisings and artificial intelligence taking over, and we contemplate what it would mean for a comp...

1 Apr 20191h 3min

39 | Malcolm MacIver on Sensing, Consciousness, and Imagination

39 | Malcolm MacIver on Sensing, Consciousness, and Imagination

Consciousness has many aspects, from experience to wakefulness to self-awareness. One aspect is imagination: our minds can conjure up multiple hypothetical futures to help us decide which choices we s...

25 Mars 20191h 19min

38 | Alan Lightman on Transcendence, Science, and a Naturalist's Sense of Meaning

38 | Alan Lightman on Transcendence, Science, and a Naturalist's Sense of Meaning

Let's say, for sake of argument, that you don't believe in God or the supernatural. Is there still a place for talking about transcendence, the sacred, and meaning in life? Some of the above, but not ...

18 Mars 20191h 16min

37 | Edward Watts on the End of the Roman Republic and Lessons for Democracy

37 | Edward Watts on the End of the Roman Republic and Lessons for Democracy

When many of us think "Ancient Rome," we think of the Empire and the Caesars. But the Empire was preceded by the Roman Republic, which flourished for a full five centuries. Why, after such a long and ...

11 Mars 20191h 31min

36 | David Albert on Quantum Measurement and the Problems with Many-Worlds

36 | David Albert on Quantum Measurement and the Problems with Many-Worlds

Quantum mechanics is our best theory of how reality works at a fundamental level, yet physicists still can't agree on what the theory actually says. At the heart of the puzzle is the "measurement prob...

4 Mars 20191h 42min

35 | Jessica Yellin on The Changing Ways We Get Our News

35 | Jessica Yellin on The Changing Ways We Get Our News

Everything we think about the world outside our immediate senses is shaped by information brought to us by other sources. In the case of what's currently happening to the human race, we call that info...

25 Feb 20191h 8min

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