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)

180 - Michael Hudson: Neoliberalism, Industrial Capitalism, and the Rise of Debt

180 - Michael Hudson: Neoliberalism, Industrial Capitalism, and the Rise of Debt

Patreon: ⁠https://www.patreon.com/robinsonerhardt⁠ Michael Hudson is Distinguished Research Professor of Economics at the University of Missouri, Kansas City and President of the Institute for the St...

24 Joulu 20231h 20min

179 - Adam Gazzaley: Neuroscience, Therapeutic Video Games, and the Cognition Crisis

179 - Adam Gazzaley: Neuroscience, Therapeutic Video Games, and the Cognition Crisis

Adam Gazzaley is David Dolby Distinguished Professor of Neurology, Physiology, and Psychiatry in the School of Medicine at the University of California, San Francisco. He obtained his M.D. and Ph.D. i...

22 Joulu 20231h 49min

178 - Chike Jeffers & Lucius Outlaw: African & Africana Philosophy

178 - Chike Jeffers & Lucius Outlaw: African & Africana Philosophy

Chike Jeffers is Associate Professor in the Department of Philosophy at Dalhousie University, where he researches Africana philosophy, the philosophy of race, social and political philosophy, and ethi...

20 Joulu 20231h 36min

177 - Juan Maldacena: Quantum Gravity, String Theory, and the AdS/CFT Correspondence

177 - Juan Maldacena: Quantum Gravity, String Theory, and the AdS/CFT Correspondence

Juan Maldacena is Carl P. Feinberg Professor in the School of Natural Sciences at the Institute for Advanced Study, where his work focuses on quantum gravity, string theory, and quantum field theories...

17 Joulu 20232h 2min

176 - Brian Little: Personality Psychology and the Big Five Traits

176 - Brian Little: Personality Psychology and the Big Five Traits

Brian Little is Research Professor in the Department of Psychology at Cambridge University, Distinguished Research Professor Emeritus at Carleton, and a Senior Fellow at the Wharton School at the Univ...

13 Joulu 20231h 48min

175 - Robert Plomin: Behavioral Genetics and the Blueprint of Human Behavior

175 - Robert Plomin: Behavioral Genetics and the Blueprint of Human Behavior

Robert Plomin is MRC Research Professor of Behavioral Genetics at King’s College London. He has published over 800 papers, is among the hundred most cited psychologists of the twentieth century, and w...

12 Joulu 20232h 3min

174 - Rebecca Goldstein: Spinoza, Atheism, and the Philosophy of Literature

174 - Rebecca Goldstein: Spinoza, Atheism, and the Philosophy of Literature

Rebecca Goldstein is a philosopher and novelist. She received her Ph.D. in philosophy from Princeton University and studied with Thomas Nagel. She is a MacArthur Follow and was awarded the National Hu...

6 Joulu 20231h 24min

173 - Ken Olum: What Are Cosmic Strings?

173 - Ken Olum: What Are Cosmic Strings?

Ken Olum is Research Professor in the Department of Physics and Astronomy at Tufts University, where he works on exotic physics and topics in cosmology like cosmic strings, gravitational waves, anthro...

2 Joulu 20231h 4min

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