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)

164 - Geoffrey West: Complexity Theory and The Scaling Laws of Biology

164 - Geoffrey West: Complexity Theory and The Scaling Laws of Biology

Geoffrey West is Shannan Distinguished Professor and Past President at the Santa Fe Institute. He is a theoretical physicist who has worked broadly on topics related to elementary particles and their ...

8 Marras 20232h 8min

163 - Daniel Levitin: Songwriting and the Neuroscience of Music

163 - Daniel Levitin: Songwriting and the Neuroscience of Music

Daniel Levitin is Professor Emeritus of Psychology and Neuroscience at McGill University and Founding Dean of Arts & Humanities at Minerva University. He is also a record producer, musician, and write...

5 Marras 20231h 8min

162 - Tim Palmer: Chaos Theory, Probabilistic Forecasting, and Climate Change

162 - Tim Palmer: Chaos Theory, Probabilistic Forecasting, and Climate Change

Tim Palmer is Royal Society Research Professor in Climate Physics at the University of Oxford, where he is a Senior Fellow at the Oxford Martin Institute and a Professorial Fellow at Jesus College. Ti...

3 Marras 20231h 56min

161 - James Owen Weatherall: Nothingness and the Physics of the Void

161 - James Owen Weatherall: Nothingness and the Physics of the Void

James Owen Weatherall is Professor of Logic and the Philosophy of Science and Department Chair at the University of California, Irvine, where he is also a member of the Institute for Mathematical Beha...

1 Marras 20231h 27min

160 - David Friedman: What is Anarcho-Capitalism?

160 - David Friedman: What is Anarcho-Capitalism?

David Friedman is Professor Emeritus at the Santa Clara University School of Law. While he was trained as a physicist, David is best known for his work in economics, and particularly his defense of an...

29 Loka 20231h 59min

159 - Erik Verlinde: Entropic Gravity, Black Holes, and the Holographic Principle

159 - Erik Verlinde: Entropic Gravity, Black Holes, and the Holographic Principle

Erik Verlinde is Professor of Physics in the Faculty of Science at the University of Amsterdam, where he specializes in quantum gravity and string theory, black holes, and cosmology. In this episode, ...

27 Loka 20231h 51min

158 - Sheldon Solomon: Terror Management Theory and the Denial of Death

158 - Sheldon Solomon: Terror Management Theory and the Denial of Death

Sheldon Solomon is Professor of Psychology at Skidmore College. He is best known for developing terror management theory with Tom Pyszczynski and Jeff Greenberg, which explores human psychology and mo...

25 Loka 20231h 22min

157 - David Albert: The Metaphysics of Quantum Mechanics

157 - David Albert: The Metaphysics of Quantum Mechanics

David Albert is the Frederick E. Woodbridge Professor of Philosophy at Columbia University and one of the world’s most respected philosophers of physics. He is also the director of the Philosophical F...

22 Loka 20231h 54min

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