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.

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20 - Philip Guison: Ice Cream Novelties

20 - Philip Guison: Ice Cream Novelties

Philip studied neuroscience at the University of Michigan and is one of Robinson’s oldest friends. In this episode, Robinson forced Philip to eat ice cream novelties with him and talk about those nove...

29 Syys 20221h 35min

19 - Nick Huggett: Paradoxes of Motion, Quantum Gravity, & String Theory

19 - Nick Huggett: Paradoxes of Motion, Quantum Gravity, & String Theory

Nick Huggett is a philosopher of physics and science at the University of Illinois at Chicago. Before that, he studied physics and philosophy at Oxford and received his PhD at Rutgers. Despite not hav...

26 Syys 20221h 15min

18 - Demitrios Haldes: Ice Cream

18 - Demitrios Haldes: Ice Cream

Contrary to popular belief, Demitrios Haldes (@infinitemonkeybusiness) is neither the last scion of Herakles nor the superintendent of a crayon factory, but a comic illustrator and writer. He and Robi...

22 Syys 20221h 23min

17 - Richard Kimberly Heck: Monstrous Female Sexuality, Porn Villains, Anal Sex, & the Ethics of Fantasies

17 - Richard Kimberly Heck: Monstrous Female Sexuality, Porn Villains, Anal Sex, & the Ethics of Fantasies

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...

19 Syys 20221h 49min

16 - Ezekiel Quittner-Strom: Instant Noodles & Internal Medicine

16 - Ezekiel Quittner-Strom: Instant Noodles & Internal Medicine

Ezekiel Quittner-Strom is a physician doing his residency in internal medicine at the University of Iowa. In this episode Robinson and Ezekiel eat instant noodles and talk about them while they eat th...

15 Syys 20221h 10min

15 - Caroline Hudson: Snack Cakes, Facelifts, Botox, & Wrinkle Prevention

15 - Caroline Hudson: Snack Cakes, Facelifts, Botox, & Wrinkle Prevention

Caroline Hudson is a facial plastic surgeon completing her fellowship in Palo Alto, California. She and Robinson discuss *almost* all things facial, ranging from wrinkles and filler to sewing teeny ti...

12 Syys 20221h 12min

14 - Michael Harris: Number Theory, Creativity in Mathematics, & Beauty

14 - Michael Harris: Number Theory, Creativity in Mathematics, & Beauty

Michael Harris is a mathematician at Columbia University, where he primarily works on number theory. He did his undergraduate studies at Princeton and received his PhD from Harvard. Professor Harris a...

8 Syys 20221h 14min

13 - Ethan Hoppe: Violin, Classical Music, & Stage Fright

13 - Ethan Hoppe: Violin, Classical Music, & Stage Fright

Ethan Hoppe is a violinist and technical sergeant in the United States Air Force. He studied violin at Northwestern and Yale before the pandemic changed the trajectory of his career. Robinson and Etha...

5 Syys 20221h 13min

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