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)

12 - Philip Guison: Chicago Bakeries & Baked Goods

12 - Philip Guison: Chicago Bakeries & Baked Goods

Philip studied neuroscience at the University of Michigan and is one of Robinson’s oldest friends. One time in high school he gave a presentation for French class in which he sat there without speakin...

1 Syys 20221h 12min

11 - Haim Gaifman: Alice in Wonderland & Paradoxes

11 - Haim Gaifman: Alice in Wonderland & Paradoxes

Haim Gaifman is a philosopher and mathematician. He teaches at Columbia University in New York City. Haim and Robinson talk about Alice in Wonderland, Bertrand Russell, and paradoxes. Instagram: @robi...

29 Elo 20221h 7min

10 - Demitrios Haldes: Cookies

10 - Demitrios Haldes: Cookies

Contrary to popular belief, Demitrios Haldes (@infinitemonkeybusiness) is neither a male supermodel nor a basketball player in the Moldovian professional circuit, but a comic illustrator and writer. H...

25 Elo 20221h 16min

9 - Patrick Davis: Steroids, PEDs, & Bodybuilding

9 - Patrick Davis: Steroids, PEDs, & Bodybuilding

Patrick Davis (@theillestpd) is a stupidly yoked unit of a bodybuilder training and coaching out of Austin, Texas. Among other things, he and Robinson talk about Patrick’s journey from military school...

22 Elo 20221h 23min

8 - Ezekiel Quittner-Strom: Sushi

8 - Ezekiel Quittner-Strom: Sushi

Ezekiel Quittner-Strom is a physician doing his residency in internal medicine at the University of Iowa. He and Robinson talk about sushi and almost nothing else. Instagram: @robinsonerhardt

18 Elo 20221h 4min

7 - Justin Clarke-Doane: Philosophy of Mathematics, Metaethics, & Ice Cream

7 - Justin Clarke-Doane: Philosophy of Mathematics, Metaethics, & Ice Cream

Justin Clarke-Doane is a professor of philosophy at Columbia University, where he works on the philosophy of mathematics, physics, and metaethics. He and Robinson discuss ice cream and Justin’s fantas...

15 Elo 20222h 4min

6 - Uncle Perry: Ice Cream

6 - Uncle Perry: Ice Cream

Uncle Perry is Robinson’s uncle. They eat ice cream and talk about it while they eat it. Instagram: @robinsonerhardt

11 Elo 20221h 7min

5 - Richard Kimberly Heck: Philosophy of Pornography, Aesthetics, & Feminism

5 - Richard Kimberly Heck: Philosophy of Pornography, Aesthetics, & Feminism

Richard Kimberly Heck has been a professor of philosophy at Brown University since 2005, at which time they left their post at Harvard, where they had taught for over a decade. On the way to receiving...

8 Elo 20221h 22min

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