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)

100 - Steven Pinker: Rationality, Enlightenment, and Free Speech

100 - Steven Pinker: Rationality, Enlightenment, and Free Speech

Steven Pinker is Johnstone Family Professor of Psychology at Harvard University. He is an experimental cognitive psychologist who writes on language, mind, and human nature. In this episode—the hundre...

11 Kesä 20231h 7min

99 - Nancy Sherman: Stoicism, Military Ethics, and War

99 - Nancy Sherman: Stoicism, Military Ethics, and War

Nancy Sherman is Distinguished University Professor and Professor of Philosophy at Georgetown University. Before that, she taught at Yale and did her graduate work in ancient philosophy at Harvard Uni...

9 Kesä 20231h 12min

98 - Dani S. Bassett & Perry Zurn: Curiosity, Philosophy, and Network Theory

98 - Dani S. Bassett & Perry Zurn: Curiosity, Philosophy, and Network Theory

Dani S. Bassett is the J. Peter Skirkanich Professor of Bioengineering at the University of Pennsylvania. Perry Zurn is Provost Associate Professor of Philosophy at American University. Dani and Perry...

7 Kesä 20231h 4min

97 - Brian Leiter: Karl Marx, Ideology, and Historical Materialism

97 - Brian Leiter: Karl Marx, Ideology, and Historical Materialism

Brian Leiter is Karl N. Llewellyn Professor of Jurisprudence at the University of Chicago Law School, founder and Director of Chicago’s Center for Law, Philosophy & Human Values, and is best known in ...

4 Kesä 20231h 17min

96 - Jody Azzouni: Knowledge and Skepticism

96 - Jody Azzouni: Knowledge and Skepticism

Jody Azzouni is Professor of Philosophy at Tufts University. While Jody is best known for his nominalist stance in the philosophy of mathematics, he is also an author of fiction, non-fiction, and poet...

31 Touko 20231h 34min

95 - Achille Varzi: What Is Mereology?

95 - Achille Varzi: What Is Mereology?

Achille Varzi is the John Dewey Professor of Philosophy at Columbia University and Bruno Kessler Honorary Professor at the University of Trento. He is a renowned metaphysicist and logician, and widely...

28 Touko 20233h 45min

94 - Alva Noë: Art, Philosophy, and The Entanglement

94 - Alva Noë: Art, Philosophy, and The Entanglement

Alva Noë is Professor of Philosophy and Chair of the Department of Philosophy at the University of California, Berkeley, where he researches the philosophy of mind—primarily focusing on perception and...

26 Touko 20231h 33min

93 - Havi Carel: The Phenomenology of Illness

93 - Havi Carel: The Phenomenology of Illness

Havi Carel is Professor of Philosophy at the University of Bristol, where she studies illness and its relationship to philosophy. Her research draws largely on phenomenology, a philosophical approach ...

23 Touko 20231h 11min

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