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(277)

53 - Christina Van Dyke: Medieval Bestiaries & The Philosophy of Food and Eating

53 - Christina Van Dyke: Medieval Bestiaries & The Philosophy of Food and Eating

Christina Van Dyke is an emerita professor of philosophy at Calvin College and a visiting professor of philosophy at Barnard College, where she specializes in the medieval period. She is the author of...

21 Feb 20231h 18min

52 - Gabriel Greenberg: Semiotics, Representation, and Cognitive Science & Film

52 - Gabriel Greenberg: Semiotics, Representation, and Cognitive Science & Film

Gabriel Greenberg is a professor of philosophy at the University of California Los Angeles, and currently a visiting professor at Stanford University. He works widely across the philosophy of mind, bu...

17 Feb 20231h 58min

51 - Scott Shapiro: Hackers, Cybersecurity, and Legal Philosophy

51 - Scott Shapiro: Hackers, Cybersecurity, and Legal Philosophy

Scott Shapiro is the Charles F. Southmayd Professor of Law and Professor of Philosophy at Yale Law School, where he is also the founding director of the Yale CyberSecurity Lab. Robinson and Scott talk...

13 Feb 20231h 12min

50 - Jonathan Schaffer: Monism, Grounding, and The Fundamental Level of Reality

50 - Jonathan Schaffer: Monism, Grounding, and The Fundamental Level of Reality

Jonathan Schaffer is a Distinguished Professor in the Department of Philosophy at Rutgers University. He is an acclaimed metaphysician with a unique mind and approach to philosophy (and who has exquis...

9 Feb 20231h 58min

49 - Stephen Darwall: The History of Modern Ethics

49 - Stephen Darwall: The History of Modern Ethics

Stephen Darwall is Andrew Downey Orrick Professor of Philosophy at Yale University and John Dewey Distinguished University Professor Emeritus at the University of Michigan. He is a world-renowned mora...

6 Feb 20231h 39min

48 - Patricia Churchland: Neurophilosophy, Free Will, & Consciousness

48 - Patricia Churchland: Neurophilosophy, Free Will, & Consciousness

Patricia Churchland is UC President’s Professor of Philosophy Emerita at the University of California, San Diego. She is among the most well-known and impactful figures working in the philosophy of mi...

2 Feb 20231h 24min

47: Achille Varzi: Metaphysics, Ontology, & Nominalism

47: Achille Varzi: Metaphysics, Ontology, & Nominalism

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 world-renowned metaphysicist and logician, and ...

30 Jan 20231h 43min

46 - Tim Maudlin: Laws of Nature, Absolute Space, & Free Will

46 - Tim Maudlin: Laws of Nature, Absolute Space, & Free Will

Tim Maudlin is Professor of Philosophy at NYU. Before that, he did his undergraduate work in philosophy and physics at Yale and received his PHD from Pittsburgh in the History and Philosophy of Scienc...

26 Jan 20231h 59min

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