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)

108 - Chiara Mingarelli: Supermassive Black Holes & the Gravitational Wave Background

108 - Chiara Mingarelli: Supermassive Black Holes & the Gravitational Wave Background

Chiara Mingarelli is a gravitational-wave astrophysicist and a professor in the Department of Physics at Yale University. She studies supermassive black holes at the centers of galaxies and their merg...

29 Kesä 20231h 31min

107 - Kevin Dorst: Bayesian Reasoning, Irrationality, and Political Polarization

107 - Kevin Dorst: Bayesian Reasoning, Irrationality, and Political Polarization

Kevin Dorst is a professor in the Department of Linguistics and Philosophy at MIT. He works at the intersection between philosophy and social science, focusing on rationality. In this episode Kevin an...

27 Kesä 20231h 45min

106 - David Albert & Sean Carroll: Quantum Theory, Boltzmann Brains, & The Fine-Tuned Universe

106 - David Albert & Sean Carroll: Quantum Theory, Boltzmann Brains, & The Fine-Tuned Universe

David Albert is the Frederick E. Woodbridge Professor of Philosophy at Columbia University and Director of the Philosophical Foundations of Physics program at Columbia. David is a prior guest of the R...

25 Kesä 20232h 10min

105 - Luciano Floridi: The Ethics of Artificial Intelligence

105 - Luciano Floridi: The Ethics of Artificial Intelligence

Luciano Floridi is the Oxford Internet Institute’s Professor of Philosophy and Ethics of Information at the University of Oxford, Distinguished Research Fellow of the Uehiro Centre for Practical Ethic...

23 Kesä 20231h 1min

104 - Nicholas Christakis: Evolutionary Biology & Society’s Genetic Underpinning

104 - Nicholas Christakis: Evolutionary Biology & Society’s Genetic Underpinning

Nicholas Christakis is the Sterling Professor of Social and Natural Science at Yale University, where he is also Director of the Human Nature Lab and Co-Director of the Yale Institute for Network Scie...

21 Kesä 20231h 24min

103 - Brad Schoenfeld: Muscular Hypertrophy and Maximizing Muscle Growth

103 - Brad Schoenfeld: Muscular Hypertrophy and Maximizing Muscle Growth

Brad Schoenfeld is Professor of Exercise Science in the Department of Heath Promotion and Nutrition Sciences at Lehman College in the Bronx, New York, where he serves as the graduate director the Huma...

18 Kesä 20231h 5min

102 - Stephen Wolfram: Artificial Intelligence, ChatGPT, and Philosophy of Math

102 - Stephen Wolfram: Artificial Intelligence, ChatGPT, and Philosophy of Math

Stephen Wolfram is the founder and CEO of Wolfram Research, and the creator of Mathematica, Wolfram|Alpha, and the Wolfram Language. He received his PhD in theoretical physics from Caltech when he was...

16 Kesä 20231h 57min

101 - Paul Bloom: Freud, Mental Illness, Psychoanalysis, and Cognitive Biases

101 - Paul Bloom: Freud, Mental Illness, Psychoanalysis, and Cognitive Biases

Paul Bloom is Brooks and Suzanne Ragen Professor Emeritus of Psychology at Yale University and Professor of Psychology at the University of Toronto. He works quite broadly in psychology, and studies h...

13 Kesä 20231h 57min

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