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)

226 - David Builes: The Metaphysics of Time and Consciousness

226 - David Builes: The Metaphysics of Time and Consciousness

Patreon: https://bit.ly/3v8OhY7 David Builes is an Assistant Professor of Philosophy at Princeton University, where he works in metaphysics and epistemology and has made serious contributions to the ...

22 Syys 20241h 10min

225 - Alexander Nehamas: Nietzsche, Eternal Recurrence, and the Will to Power

225 - Alexander Nehamas: Nietzsche, Eternal Recurrence, and the Will to Power

Patreon: https://bit.ly/3v8OhY7 Alexander Nehamas is the Edmund N. Carpenter II Class of 1943 Professor in the Humanities, both of philosophy and comparative literature, at Princeton University. He i...

14 Syys 20242h 5min

224 - Peter Woit: String Theory and the Crisis in Physics

224 - Peter Woit: String Theory and the Crisis in Physics

Patreon: https://bit.ly/3v8OhY7 Peter Woit is a senior lecturer in the Department of Mathematics at Columbia University, where he researches quantum field theory and quantum gravity. Peter is one of ...

8 Syys 20242h 3min

223 - Michael Graziano: Consciousness, Animal Minds, and the Neuroscience of Suffering

223 - Michael Graziano: Consciousness, Animal Minds, and the Neuroscience of Suffering

Patreon: https://bit.ly/3v8OhY7 Michael Graziano is Professor of Psychology and Neuroscience at Princeton University, where he and his lab research the brain basis of consciousness. This is Michael’s...

1 Syys 20242h 31min

222 - Richard Wolff: Israel, Ukraine, China, and the End of the American Empire

222 - Richard Wolff: Israel, Ukraine, China, and the End of the American Empire

Patreon: https://bit.ly/3v8OhY7 Richard Wolff is Professor Emeritus of Economics at the University of Massachusetts Amherst and a visiting professor at The New School, where he works on economics in ...

25 Elo 20243h 3min

221 - David Albert: The Measurement Problem of Quantum Mechanics

221 - David Albert: The Measurement Problem of Quantum Mechanics

Patreon: https://bit.ly/3v8OhY7 David Albert is the Frederick E. Woodbridge Professor of Philosophy at Columbia University, director of the Philosophical Foundations of Physics program at Columbia, a...

18 Elo 20242h 3min

220 - Michael Hudson: Debt, Economic Collapse, and the End of Civilization

220 - Michael Hudson: Debt, Economic Collapse, and the End of Civilization

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...

11 Elo 20241h 34min

Ask Me Anything | August 2024

Ask Me Anything | August 2024

Patreon: https://bit.ly/3v8OhY7 This is the August 2024 AMA for Robinson’s Podcast. It is supported by the members of the Patreon. In this installment, Robinson answers questions about metaethics, ar...

8 Elo 20241h 30min

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