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)

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 Maj 20231h 11min

91 - John Perry: Procrastination, Personal Identity, and the Self

91 - John Perry: Procrastination, Personal Identity, and the Self

John Perry is Henry Waldgrave Stuart Professor of Philosophy Emeritus at Stanford University. He was also the co-host with Ken Taylor of the nationally syndicated radio show Philosophy Talk. John has ...

19 Maj 20232h

90 - David Papineau: The Metaphysics of Sensory Experience

90 - David Papineau: The Metaphysics of Sensory Experience

David Papineau is Professor of Philosophy of Science at King’s College London. He also teaches at the City University of New York Graduate Center, and before that he lectured in the Department of Hist...

16 Maj 20231h 31min

89 - Graham Harman: Speculative Realism & Philosophy of Art and Architecture

89 - Graham Harman: Speculative Realism & Philosophy of Art and Architecture

Graham Harman is Distinguished Professor of Philosophy at Sci-Arc, the Southern California Institute of Architecture in Los Angeles. He is one of the leading metaphysicians in the continental traditio...

14 Maj 20232h 5min

88 - Graham Oppy: Ontological Arguments and the Existence of God

88 - Graham Oppy: Ontological Arguments and the Existence of God

Graham Oppy is Professor of Philosophy at Monash University. Before that, he did his undergraduate work in Melbourne and his graduate work at Princeton. Though Graham is best known as a philosopher of...

12 Maj 20231h 37min

87 - Frank Jackson & Graham Priest: The Philosophy of David Lewis

87 - Frank Jackson & Graham Priest: The Philosophy of David Lewis

Frank Jackson is Emeritus Professor at the Australian National University. He is best known for the knowledge argument and Mary’s Room—its accompanying thought experiment—but has published widely in t...

9 Maj 20231h 59min

86 - Frances Egan: Mental Representation and Psychological Explanation

86 - Frances Egan: Mental Representation and Psychological Explanation

Frances Egan is Distinguished Professor of Philosophy at Rutgers, where she works on the philosophy of mind, the philosophy of psychology, and the foundations of cognitive science. Recently she has be...

7 Maj 20231h 35min

Populärt inom Vetenskap

dumma-manniskor
p3-dystopia
allt-du-velat-veta
svd-nyhetsartiklar
kapitalet-en-podd-om-ekonomi
rss-vetenskapsradion
medicinvetarna
sexet
det-morka-psyket
hacka-livet
rss-ufo-bortom-rimligt-tvivel-2
dumforklarat
paranormalt-med-caroline-giertz
rss-vetenskapsradion-2
rss-spraket
vetenskapsradion
ufo-sverige
halsorevolutionen
rss-ronden
rss-odla