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)

68 - Simon Blackburn: Moral Realism, Antirealism, and Quasirealism

68 - Simon Blackburn: Moral Realism, Antirealism, and Quasirealism

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67 - David Albert & Tim Maudlin: The Philosophical Foundations of Quantum Theory

67 - David Albert & Tim Maudlin: The Philosophical Foundations of Quantum Theory

David Albert is the Frederick E. Woodbridge Professor of Philosophy at Columbia University, where he directs the Philosophical Foundations of Physics program. Tim Maudlin is Professor of Philosophy at...

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66 - Noam Chomsky: History and Philosophy of Linguistics

66 - Noam Chomsky: History and Philosophy of Linguistics

Noam Chomsky is Professor of Linguistics Emeritus at MIT and Laureate Professor of Linguistics at the University of Arizona. He not only counts as among the most influential linguists of all time, but...

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65 - Tania Lombrozo: Explanation and Human Psychology

65 - Tania Lombrozo: Explanation and Human Psychology

Tania Lombrozo is Arthur W. Marks ’19 Professor of Psychology at Princeton University, where she directs the Concepts & Cognition Lab. Before that, she did her undergraduate work at Stanford Universit...

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64 - Sarah Moss: Probabilistic Knowledge

64 - Sarah Moss: Probabilistic Knowledge

Sarah Moss is the William Wilhartz Professor of Philosophy and Professor of Law by courtesy at the University of Michigan. She works primarily in epistemology and the philosophy of language, though in...

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63 - Thomas Ryckman & Mark Wilson: The State of Analytic Philosophy

63 - Thomas Ryckman & Mark Wilson: The State of Analytic Philosophy

Thomas Ryckman is Professor of Philosophy at Stanford University, where he works on the philosophy of physics. Mark Wilson is Distinguished Professor of Philosophy at the University of Pittsburgh, whe...

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62 - David Papineau: Realism, Antirealism, and The Philosophy of Science

62 - David Papineau: Realism, Antirealism, and The Philosophy of Science

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61 - Keith Frankish: Illusionism and The Philosophy of Mind

61 - Keith Frankish: Illusionism and The Philosophy of Mind

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