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)

219 - Joscha Bach: Consciousness, Artificial Intelligence, and the Threat of AI Apocalypse

219 - Joscha Bach: Consciousness, Artificial Intelligence, and the Threat of AI Apocalypse

Patreon: https://bit.ly/3v8OhY7 Joscha Bach is a computer scientist and artificial intelligence researcher currently working with Liquid AI. He has previously done research at Harvard, MIT, Intel, an...

5 Elo 20242h 15min

218 - Norman Finkelstein: Genocide in Israel and Palestine

218 - Norman Finkelstein: Genocide in Israel and Palestine

Patreon: https://bit.ly/3v8OhY7 Norman Finkelstein received his PhD from the Princeton University Politics Department, and is best known for his research on Israel and Palestine. In this episode of R...

31 Heinä 20242h 8min

217 - Leonard Susskind: String Theory, Fine-Tuning, and the Physics of the Multiverse

217 - Leonard Susskind: String Theory, Fine-Tuning, and the Physics of the Multiverse

Patreon: https://bit.ly/3v8OhY7 Leonard Susskind is Felix Bloch Professor of Physics at Stanford University. Among other accomplishments, he is among the fathers of such revolutionary concepts in phy...

21 Heinä 20241h 11min

216 - Raphael Bousso: The Black Hole Paradox, Quantum Gravity, and the Holographic Principle

216 - Raphael Bousso: The Black Hole Paradox, Quantum Gravity, and the Holographic Principle

Patreon: https://bit.ly/3v8OhY7 Raphael Bousso is the Chancellor’s Chair in Physics at the Berkeley Center for Theoretical Physics, where he leads the Bousso Group in research on quantum gravity and ...

14 Heinä 20241h 45min

215 - Anna Lembke: On Philosophy and Psychiatry

215 - Anna Lembke: On Philosophy and Psychiatry

Patreon: https://bit.ly/3v8OhY7 Dr. Anna Lembke received her undergraduate degree in Humanities from Yale University and her medical degree from Stanford University. She is currently Professor and Me...

7 Heinä 20241h 37min

Ask Me Anything | July 2024

Ask Me Anything | July 2024

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

3 Heinä 20241h 29min

214 - Joyce Carol Oates: On Philosophy and Literature

214 - Joyce Carol Oates: On Philosophy and Literature

Patreon: https://bit.ly/3v8OhY7 Joyce Carol Oates is the Rogers S. Berlind ’52 Professor Emerita in the Humanities at Princeton University with the Program in Creative Writing. She is among the most ...

30 Kesä 20241h

213 - Slavoj Žižek: God, Marxism, Philosophy, and Quantum Mechanics

213 - Slavoj Žižek: God, Marxism, Philosophy, and Quantum Mechanics

Patreon: https://bit.ly/3v8OhY7 Slavoj Žižek is international director of the Birkbeck Institute for the Humanities at the University of London, visiting professor at New York University, and a senio...

23 Kesä 20241h 16min

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