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)

60 - Joel David Hamkins & Graham Priest: The Liar Paradox & The Set-Theoretic Multiverse

60 - Joel David Hamkins & Graham Priest: The Liar Paradox & The Set-Theoretic Multiverse

Joel David Hamkins is the O’Hara Professor of Philosophy and Mathematics at the University of Notre Dame, where he recently moved from the University of Oxford. Joel is one of the world’s leading set ...

9 Maalis 20232h 23min

59 - Tamar Schapiro: Inclination, Will, and The Animal Self

59 - Tamar Schapiro: Inclination, Will, and The Animal Self

Tamar Schapiro is Professor of Philosophy at MIT. Her work centers on value theory, the history of ethics, and how this relates to human agency and reasoning. Robinson and Tamar’s discussion center ar...

6 Maalis 20231h 31min

58 - Huw Price: Philosophy of Time, Boltzmann Brains, and Retrocausality

58 - Huw Price: Philosophy of Time, Boltzmann Brains, and Retrocausality

Huw Price is the former Bertrand Russell Professor in the Faculty of Philosophy at the University of Cambridge, and was before that Challis Professor of Philosophy and Director of the Centre for Time ...

4 Maalis 20231h 2min

57 - Richard Kimberly Heck: Reference, Names, and the Philosophy of Language

57 - Richard Kimberly Heck: Reference, Names, and the Philosophy of Language

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...

2 Maalis 20232h 44min

56 - Kevin Heng: Exoplanetary Atmospheres and The Philosophy of Astrophysics

56 - Kevin Heng: Exoplanetary Atmospheres and The Philosophy of Astrophysics

Kevin Heng is Chair Professor of Theoretical Astrophysics of Extrasolar Planets at the Ludwig Maximilian University in Munich. Before that, he was the director of the Center for Space and Habitability...

27 Helmi 20231h 18min

55 - Alison Fernandes: Time Travel and Causation

55 - Alison Fernandes: Time Travel and Causation

Alison Fernandes is a professor of philosophy at Trinity College Dublin. Prior to that, she did her graduate work at Columbia University, where she studied with two other denizens of the Robinson’s Po...

25 Helmi 20231h

54 - Luvell Anderson: Slurs, Hate Speech, and The Philosophy of Humor

54 - Luvell Anderson: Slurs, Hate Speech, and The Philosophy of Humor

Luvell Anderson is a professor of philosophy at Syracuse University, where he’s also an affiliate faculty member of Women’s and Gender Studies and African American Studies. He is the co-editor of The ...

24 Helmi 20231h 30min

53 - Christina Van Dyke: Medieval Bestiaries & The Philosophy of Food and Eating

53 - Christina Van Dyke: Medieval Bestiaries & The Philosophy of Food and Eating

Christina Van Dyke is an emerita professor of philosophy at Calvin College and a visiting professor of philosophy at Barnard College, where she specializes in the medieval period. She is the author of...

21 Helmi 20231h 18min

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