Robinson's Podcast21 Maj 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.

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Avsnitt(281)

279 - Paul Davies: The Second Quantum Mechanics Revolution

Paul Davies is a theoretical physicist and Regents’ Professor at Arizona State University. Paul works on quantum mechanics, astrophysics, and cosmology, with emphasis on the origin and early stages of...

14 Juni 1h 20min

278 - Priyamvada Natarajan: The Mystery of Dark Matter

Priyamvada Natarajan is the Joseph S. and Sophia S. Fruton Professor of Astronomy and Professor of Physics at Yale University, where she is also the Chair of Astronomy. Priya researches broadly across...

31 Maj 1h 30min

277 - Tim Maudlin: What Is Philosophy?

Tim Maudlin is Professor of Philosophy at NYU and Founder and Director of the John Bell Institute for the Foundations of Physics. In this episode, Robinson and Tim discuss the nature of philosophy. Mo...

17 Maj 2h

276 - Craig Callender: Lab-Grown Meat, De-Extinction, and the Tolman-Ehrenfest Effect

Craig Callender is Professor of Philosophy and Co-Director of the Institute for Practical Ethics at UC San Diego, where he is a leading philosopher of science and physics. Craig also appeared on episo...

3 Maj 1h 31min

275 - Nate Soares: AI Will Kill Us All If We Don’t Change Course

Nate Soares is the President of the Machine Intelligence Research Institute, and plays a central role in setting MIRI’s vision and strategy. Soares has been working in the field for over a decade, and...

19 Apr 2h 3min

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

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

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