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(276)

274 - Norman Finkelstein: Trump, Netanyahu, Putin, and the War in Iran

274 - Norman Finkelstein: Trump, Netanyahu, Putin, and the War in Iran

Norman's Upcoming Book, Gaza's Gravediggers: https://orbooks.com/catalog/gazas-gravediggers/Norman Finkelstein received his PhD from the Princeton University Politics Department, and is best known for...

29 Mars 1h 35min

273 - Richard Wolff: Iran, Israel, and the End of the American Empire

273 - Richard Wolff: Iran, Israel, and the End of the American Empire

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 the Marxist tradition. This is Ri...

22 Mars 2h 4min

272 - Michael Hudson: Iran, Israel, and World War III

272 - Michael Hudson: Iran, Israel, and World War III

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 Economic Trends. He researches dome...

15 Mars 1h 56min

271 - Sara Imari Walker & Lee Cronin: Quantum Physics, Time, and the Origin of Life

271 - Sara Imari Walker & Lee Cronin: Quantum Physics, Time, and the Origin of Life

Sara Imari Walker is Professor in the School of Earth and Space Exploration at Arizona State University, where she is Deputy Director of the Beyond Center. Sara is an astrobiologist and theoretical ph...

1 Mars 1h 58min

270 - Tim Maudlin & Jacob Barandes: The Indivisible Approach to Quantum Theory

270 - Tim Maudlin & Jacob Barandes: The Indivisible Approach to Quantum Theory

Tim Maudlin is Professor of Philosophy at NYU and Founder and Director of the John Bell Institute for the Foundations of Physics. Jacob Barandes is Senior Preceptor in Physics at Harvard University, w...

15 Feb 3h 9min

269 - Scott Aaronson: What Is Quantum Computing?

269 - Scott Aaronson: What Is Quantum Computing?

Scott Aaronson is the Schlumberger Centennial Chair of Computer Science at The University of Texas at Austin, and director of its Quantum Information Center. He researches the capabilities and limits ...

1 Feb 1h 25min

268 - Jeffrey Pfeffer: Power, Influence, and the Psychology of Institutions

268 - Jeffrey Pfeffer: Power, Influence, and the Psychology of Institutions

Jeffrey Pfeffer is the Thomas D. Dee II Professor of Organizational Behavior at the Graduate School of Business, Stanford University where he has taught since 1979. He is the author or co-author of 16...

18 Jan 1h

267 - Lee Cronin: Aliens, Artificial Intelligence, and the Origin of Life

267 - Lee Cronin: Aliens, Artificial Intelligence, and the Origin of Life

Lee Cronin is Regius Chair of Chemistry at the University of Glasgow. Among his many pursuits are the digitization of chemistry, the discovery of alien life, and the creation of artificial life. Lee w...

3 Jan 1h 22min

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