92 - Joan Bagaria: What Is Set Theory?
Robinson's Podcast21 Touko 2023

92 - Joan Bagaria: What Is Set Theory?

Joan Bagaria is ICREA Research Professor in the Department of Experimental Sciences and Mathematics at the University of Barcelona. He is a mathematical logician who works in set theory, which is the branch of mathematics that not only specializes in the investigation of infinity but serves as the foundation for the rest of mathematics—what this means, and its implications, are explored in the episode. Joan and Robinson discuss all things set theory, beginning with its origins in the mind of Georg Cantor, its development in the 20th century, some philosophical questions, and some current outstanding problems. They also briefly touch on Catalan independence, a topic dear to Joan’s heart. Joan’s Twitter: ⁠https://twitter.com/BagariaJoan⁠ Set Theory: https://plato.stanford.edu/entries/set-theory/ The Early Development of Set Theory: https://plato.stanford.edu/cgi-bin/encyclopedia/archinfo.cgi?entry=settheory-early OUTLINE 00:00 In This Episode… 01:01 Introduction 06:18 Joan and Set Theory 09:11 The Development of Set Theory 21:08 Naive Set Theory and Axiomatic Set Theory 30:52 Zermelo-Fraenkel Set Theory with Choice 46:35 Metaphysics and Epistemology 01:03:06 Set Theory as the Foundation of Mathematics 01:09:48 The Continuum Problem 01:16:13 Settling the Continuum Problem 01:35:21 Alternative Set Theories 01:43:37 Alternative Foundations 01:47:53 Catalan Independence Robinson’s Website: ⁠http://robinsonerhardt.com⁠ Robinson Erhardt researches symbolic logic and the foundations of mathematics at Stanford University. Join him in conversations with philosophers, scientists, weightlifters, artists, and everyone in-between.

Jaksot(276)

258 - Richard Wolff: Donald Trump’s Tariff War Dissected

258 - Richard Wolff: Donald Trump’s Tariff War Dissected

Support our sponsor, FarmKind, to fix factory farming: https://www.farmkind.givingThe code “ROBINSON” will increase your donation by 50% with a bump from large donors.Richard Wolff is Professor Emerit...

31 Elo 20252h 7min

257 - Carl Hart: The Neuroscience of Drugs and Their Role in the Good Life

257 - Carl Hart: The Neuroscience of Drugs and Their Role in the Good Life

Carl Hart is Mamie Phipps Clark Professor of Psychology at Columbia University, where he researches the behavioral and neuropharmacological effects of psychoactive drugs in humans. In this wide-rangin...

17 Elo 20251h 45min

256 - Tim Maudlin: A Masterclass on the Philosophy of Time

256 - Tim Maudlin: A Masterclass on the Philosophy of Time

Tim Maudlin is Professor of Philosophy at NYU and Founder and Director of the John Bell Institute for the Foundations of Physics. This is Tim’s eighth appearance on the show. His second to  last appea...

3 Elo 20253h 8min

255 - Michael Hudson: Trump, China, AI, and the Untold History of Economics

255 - Michael Hudson: Trump, China, AI, and the Untold History of Economics

Michael Hudson is Distinguished Research Professor of Economics at the University of Missouri, Kansas City and President of the Institute for the Study of Long-Term Economic Trends. He researches dome...

20 Heinä 20252h 37min

254 - The Yale US-China Forum: Slavoj Žižek, Richard Wolff, Yannis Varoufakis, Robin Visser, Yascha Mounk, Pei Wang, Daniel Mattingly

254 - The Yale US-China Forum: Slavoj Žižek, Richard Wolff, Yannis Varoufakis, Robin Visser, Yascha Mounk, Pei Wang, Daniel Mattingly

In this special episode, Robinson and Karl Zheng Wang co-host at the Yale US-China Forum. Return guests from the show include Slavoj Žižek, Richard Wolff, and Yascha Mounk. Slavoj Žižek is internation...

6 Heinä 20252h 4min

253 - Peter Zeihan: China’s Fall, America’s Rise, and the End of the World Order

253 - Peter Zeihan: China’s Fall, America’s Rise, and the End of the World Order

Peter Zeihan is a geopolitical analyst, futurist, and best-selling author who researches and strategizes around demography, economics, energy, politics, technology, and security. In this episode, Pete...

22 Kesä 20251h 7min

252 - David Kipping: Alien Civilizations, Megastructures, Spacecraft, and Artificial Intelligence

252 - David Kipping: Alien Civilizations, Megastructures, Spacecraft, and Artificial Intelligence

David Kipping is a Professor of Astronomy at Columbia University, where he runs Cool Worlds Lab and researches planets and moons that revolve around stars other than our own, in addition to his own wo...

8 Kesä 20253h 5min

251 - Eliezer Yudkowsky: Artificial Intelligence and the End of Humanity

251 - Eliezer Yudkowsky: Artificial Intelligence and the End of Humanity

Eliezer Yudkowsky is a decision theorist, computer scientist, and author who co-founded and leads research at the Machine Intelligence Research Institute. He is best known for his work on the alignmen...

25 Touko 20252h 51min

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