92 - Joan Bagaria: What Is Set Theory?

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.

Episoder(276)

28 - Nick C: Mystical Religious Experience & Moral Facts and Animal Suffering

28 - Nick C: Mystical Religious Experience & Moral Facts and Animal Suffering

Nick is a software engineer at a biotech company. He studied politics, philosophy, and economics at the University of Pennsylvania. He and Robinson talk about the events that led him to abandon his de...

7 Nov 20221h 7min

27 - Ronnie (Robinson's Dad): The Elgin Marbles

27 - Ronnie (Robinson's Dad): The Elgin Marbles

Ronnie is Robinson’s father. They talk about the Elgin Marbles and also a little bit about ice cream and donuts. Instagram: @robinsonerhardt TikTok: @robinsonerhardt Twitch: @robinsonerhardt

31 Okt 20221h 19min

26 - Ezekiel Quittner-Strom: Perfect MCAT Scores & a Trader Joe’s Frozen Feast

26 - Ezekiel Quittner-Strom: Perfect MCAT Scores & a Trader Joe’s Frozen Feast

Ezekiel Quittner-Strom is a physician doing his residency in internal medicine at the University of Iowa. In this episode Robinson and Ezekiel eat a three-course feast of frozen food from Trader Joe’s...

24 Okt 20221h 10min

25 - Ethan Hoppe: Medieval Music, Devil’s Interval, & Memorizing Game of Thrones

25 - Ethan Hoppe: Medieval Music, Devil’s Interval, & Memorizing Game of Thrones

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. We talk about the...

17 Okt 20221h 11min

24 - Caroline Hudson: Collagen Stimulation, Facial Plastic Surgery, Baked Goods

24 - Caroline Hudson: Collagen Stimulation, Facial Plastic Surgery, Baked Goods

Caroline Hudson is a facial plastic surgeon completing her fellowship in Palo Alto, California. She and Robinson discuss why an ENT (ear, nose, and throat specialist) would become a plastic surgeon, t...

13 Okt 20221h 34min

23 - David Albert & Justin Clarke-Doane: Absolute Space & Physicalism vs. Ethics

23 - David Albert & Justin Clarke-Doane: Absolute Space & Physicalism vs. Ethics

David Albert and Justin Clarke-Doane are both professors of philosophy at Columbia University. While David is one of the world’s most respected philosophers of physics, Justin has staked his own claim...

10 Okt 20221h 49min

22 - Graham Winn-Lee: Post-Apocalyptic Fantasies, Zombies, & Dragons

22 - Graham Winn-Lee: Post-Apocalyptic Fantasies, Zombies, & Dragons

Graham Winn-Lee is Robinson’s best friend. Though that is how he likes to introduce himself, Graham is also an artist, graphic designer, and crocheting enthusiast with a lifelong passion for competiti...

6 Okt 20221h 9min

21 - Haim Gaifman: What is Philosophy? What is Mathematics?

21 - Haim Gaifman: What is Philosophy? What is Mathematics?

Haim Gaifman is a philosopher and mathematician. He teaches at Columbia University in New York City. In this episode Haim answers two questions of Robinson’s: What is philosophy? What is mathematics? ...

3 Okt 20221h 26min

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