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)

234 - Richard Wolff & Michael Hudson: Karl Marx and the Fall of the West

234 - Richard Wolff & Michael Hudson: Karl Marx and the Fall of the West

This episode came on the heels of a traumatic, eight-interview sprint in NYC. As you’ll see, this one was particularly chaotic, but the stars aligned to make it happen. Camera switches, bathroom break...

10 Marras 20243h 36min

233 - Judith Butler: Trump & Harris | Israel & Palestine | Sex & Gender

233 - Judith Butler: Trump & Harris | Israel & Palestine | Sex & Gender

Judith Butler is Distinguished Professor in the Graduate School and formerly the Maxine Elliot Chair in the Department of Comparative Literature and the Program of Critical Theory at the University of...

3 Marras 20241h 23min

232 - Niall Ferguson: Trump v. Harris | Israel v. Hamas | Russia v. Ukraine

232 - Niall Ferguson: Trump v. Harris | Israel v. Hamas | Russia v. Ukraine

Sir Niall Ferguson is the Milbank Family Senior Fellow at the Hoover Institution, Stanford University, and a senior faculty fellow of the Belfer Center for Science and International Affairs at Harvard...

31 Loka 20241h 22min

231 - Victor Davis Hanson: The Final Case for Donald J. Trump

231 - Victor Davis Hanson: The Final Case for Donald J. Trump

Victor Davis Hanson is a renowned classicist, military historian, and political commentator. He is the Martin and Illie Anderson Senior Fellow in Residence in Classics and Military History at the Hoov...

27 Loka 20241h 14min

230 - Richard Wolff: The Final Case Against Donald J. Trump

230 - Richard Wolff: The Final Case Against Donald J. Trump

Patreon: https://bit.ly/3v8OhY7 Robinson’s Fashion Empire: http://bit.ly/3XBKqO2 Richard Wolff is Professor Emeritus of Economics at the University of Massachusetts Amherst and a visiting professor ...

20 Loka 20242h

229 - Rashid Khalidi: October 7th Revisited | Israel, Palestine, Gaza, Hamas, & The Nakba

229 - Rashid Khalidi: October 7th Revisited | Israel, Palestine, Gaza, Hamas, & The Nakba

Patreon: https://bit.ly/3v8OhY7 Robinson’s Fashion Empire: http://bit.ly/3XBKqO2 Some speakers, like Norman (https://youtu.be/vhFm62msNGc), are whip-smart and all I can do is ask a question before l...

13 Loka 20241h 10min

228 - Norman Finkelstein: October 7th Revisited | Israel, Palestine, Hezbollah, & The End of Gaza

228 - Norman Finkelstein: October 7th Revisited | Israel, Palestine, Hezbollah, & The End of Gaza

Patreon: https://bit.ly/3v8OhY7 Robinson’s Fashion Empire: http://bit.ly/3XBKqO2 Norman Finkelstein received his PhD from the Princeton University Politics Department, and is best known for his rese...

6 Loka 20243h 3min

227 - David Eagleman: Synesthesia, Brain Plasticity, AI, and Conspiracy Theories

227 - David Eagleman: Synesthesia, Brain Plasticity, AI, and Conspiracy Theories

Patreon: https://bit.ly/3v8OhY7 Robinson’s Fashion Empire: http://bit.ly/3XBKqO2 David Eagleman is a neuroscientist at Stanford University who works on synesthesia, brain plasticity, and sensory sub...

29 Syys 20241h 14min

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