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(277)

117 - Anna Lembke: Dopamine, Drug Addiction, and Recovery

117 - Anna Lembke: Dopamine, Drug Addiction, and Recovery

Dr. Anna Lembke received her undergraduate degree in Humanities from Yale University and and her medical degree from Stanford University. She is currently Professor and Medical Director of Addiction M...

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116 - Massimo Pigliucci: Pseudoscience, Conspiracy Theories, and the Public Intellectual

116 - Massimo Pigliucci: Pseudoscience, Conspiracy Theories, and the Public Intellectual

Massimo Pigliucci is K.D. Irani Professor of Philosophy at the City University of New York, where he specializes in both ancient philosophy and the philosophy of science. In addition to a doctorate in...

19 Heinä 20231h 6min

115 - Craig Callender & Tim Maudlin: Time Travel, Time’s Arrow, and The Block Universe

115 - Craig Callender & Tim Maudlin: Time Travel, Time’s Arrow, and The Block Universe

Craig Callender is Professor of Philosophy and Co-Director of the Institute for Practical Ethics at UC San Diego. Tim Maudlin is Professor of Philosophy at NYU and Founder and Director of the John Bel...

16 Heinä 20232h 5min

114 - Eric Helms: Nutrition, Bodybuilding, & Supplementation for Strength and Aesthetics

114 - Eric Helms: Nutrition, Bodybuilding, & Supplementation for Strength and Aesthetics

Eric Helms is an AUT Research Fellow at the Sports Performance Research Institute New Zealand (Auckland University of Technology) in the Strength & Conditioning and Sports Physiology and Nutrition res...

14 Heinä 20231h 58min

113 - David Spiegel: Hypnosis and Mental Illness

113 - David Spiegel: Hypnosis and Mental Illness

David Spiegel is Willson Professor of Medicine and Associate Chair of Psychiatry at Stanford University School of Medicine. He did his undergraduate work at Yale and received his M.D. from Harvard Med...

11 Heinä 20231h 32min

112 - Victor Davis Hanson: Revisionist History and the Dying Citizen

112 - Victor Davis Hanson: Revisionist History and the Dying Citizen

Victor Davis Hanson is a renowned classicist, military historian, and political commentator. He is the Martin and Illie Anderson Senior Fellow in Residence in Classics and Military History at the Hoov...

9 Heinä 20231h 1min

111 - Avi Loeb: Alien Life, Extraterrestrial Spacecraft, and Oumuamua

111 - Avi Loeb: Alien Life, Extraterrestrial Spacecraft, and Oumuamua

Avi Loeb is Frank B. Baird Jr. Professor of Science in the Department of Astronomy at Harvard University, and former chair of the department. Before joining Harvard he spent fifteen years working in t...

7 Heinä 20231h 50min

110 - Daniel Kahneman: Biases and Flaws in Human Judgment

110 - Daniel Kahneman: Biases and Flaws in Human Judgment

Daniel Kahneman is Professor Emeritus of Psychology and Public Policy at Princeton University. He won the Nobel Prize in Economic Sciences in 2002 for joint work with Amos Tversky in which they reveal...

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