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.

Avsnitt(277)

205 - Nick Bostrom: Superintelligence, Posthumanity, and AI Utopia

205 - Nick Bostrom: Superintelligence, Posthumanity, and AI Utopia

Patreon: https://bit.ly/3v8OhY7 Nick Bostrom is a Swedish philosopher who was most recently Professor at Oxford University, where he served as the founding Director of the Future of Humanity Institut...

28 Apr 20241h 6min

204 - Philip Goff: Panpsychism and the Mystery of Consciousness

204 - Philip Goff: Panpsychism and the Mystery of Consciousness

Patreon: https://bit.ly/3v8OhY7 Philip Goff is a professor of philosophy at Durham University in the United Kingdom, where he researches consciousness and the philosophy of mind. He is the best known...

21 Apr 20241h 21min

203 - Vijay Prashad: Colonialism, Israel-Palestine, Marxism, and European Anti-Semitism

203 - Vijay Prashad: Colonialism, Israel-Palestine, Marxism, and European Anti-Semitism

Patreon: https://bit.ly/3v8OhY7 Vijay Prashad is a historian and journalist. He obtained his PhD in history at the University of Chicago and was most recently the George and Martha Kellner Chair in S...

15 Apr 20241h 5min

202 - Jeffrey Sachs: JFK, Conspiracy Theories, Israel-Palestine, and Ending the War in Gaza

202 - Jeffrey Sachs: JFK, Conspiracy Theories, Israel-Palestine, and Ending the War in Gaza

Patreon: https://bit.ly/3v8OhY7 Jeffrey Sachs is University Professor at Columbia University, where he serves as the Director of the Center for Sustainable Development. Before that, he taught at Harv...

7 Apr 202449min

201 - Benny Morris: Israel-Palestine, Genocide, Apartheid, Hamas, Muscular Judaism, and the Nakba

201 - Benny Morris: Israel-Palestine, Genocide, Apartheid, Hamas, Muscular Judaism, and the Nakba

Patreon: https://bit.ly/3v8OhY7 Benny Morris is Professor Emeritus in the Department of Middle East Studies at the Ben-Gurion University of the Negev in Israel. He is among the most respected and inf...

31 Mars 20241h 5min

200 - Sean Carroll, Daniel Dennett, & Steven Pinker: AI, Parapsychology, Panpsychism, & Physics Violations

200 - Sean Carroll, Daniel Dennett, & Steven Pinker: AI, Parapsychology, Panpsychism, & Physics Violations

Patreon: https://bit.ly/3v8OhY7 Sean Carroll is Homewood Professor of Natural Philosophy at Johns Hopkins University and fractal faculty at the Santa Fe Institute. He is also host of Sean Carroll’s M...

24 Mars 20242h

199 - Lawrence Krauss: God, String Theory, and the State of Physics

199 - Lawrence Krauss: God, String Theory, and the State of Physics

Patreon: https://bit.ly/3v8OhY7 Lawrence Krauss is a theoretical physicist who has taught at Yale, Arizona State University, and Case Western, and is the founder of ASU’s Origins Project. He is a pro...

17 Mars 20241h 24min

198 - Michael Hudson: Marxism, Economic Parasites, and Debt Cancellation

198 - Michael Hudson: Marxism, Economic Parasites, and Debt Cancellation

Patreon: https://bit.ly/3v8OhY7 Michael Hudson is Distinguished Research Professor of Economics at the University of Missouri, Kansas City and President of the Institute for the Study of Long-Term Ec...

10 Mars 20241h 30min

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