140 - John Burgess: Realism in the Philosophy of Mathematics

140 - John Burgess: Realism in the Philosophy of Mathematics

John Burgess is John N. Woodhull Professor of Philosophy at Princeton University, where he works in mathematical and philosophical logic and the philosophy of mathematics. In this episode, Robinson and John discuss realism in the philosophy of mathematics, and while the nature of this question is itself disputed, it can be roughly described as concerning the extent to which we should be committed to the mind-independent truth of mathematical theorems, or to the existence of the objects they apparently describe. Robinson and John begin by addressing the nuances of this question, and they then turn to various developments in mathematics that have been historically associated with realism—set theory, in particular—as well as specific philosophical positions associated with realism (such as Platonism) and anti-realism (such as conventionalism). John’s most recent book is Set Theory (Cambridge, 2022).


Set Theory: https://a.co/d/cF305wf


OUTLINE

00:00 In This Episode…

00:22 Introduction

03:17 Mathematics or Philosophy?

08:06 What is Realism in the Philosophy of Mathematics?

14:11 Objectivity and Mathematics

24:34 What Is Set Theory?

47:29 Platonism and the Continuum Problem

01:15:42 Conventionalism

01:22:06 Finitism

01:31:17 A Cap on Infinity?


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)

243 - Richard Wolff: Donald J. Trump and the Decline of the United States

243 - Richard Wolff: Donald J. Trump and the Decline of the United States

Richard Wolff is Professor Emeritus of Economics at the University of Massachusetts Amherst and a visiting professor at The New School, where he works on economics in the Marxist tradition. This is Ri...

9 Feb 20253h 40min

242 - Victor Davis Hanson: President Donald J. Trump and the Fate of the United States

242 - Victor Davis Hanson: President Donald J. Trump and the Fate of the United States

Victor Davis Hanson is a renowned classicist, military historian, and political commentator. He is the Martin and Illie Anderson Senior Fellow in Residence in Classics and Military History at the Hoov...

26 Jan 20251h 16min

241 - Raphael Bousso: The Cold Truth About Quantum Mechanics

241 - Raphael Bousso: The Cold Truth About Quantum Mechanics

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 quantum information. He is a reno...

19 Jan 20251h 37min

240 - Peter Godfrey-Smith: Cuttlefish, Octopuses, and the Consciousness of Mysterious Minds

240 - Peter Godfrey-Smith: Cuttlefish, Octopuses, and the Consciousness of Mysterious Minds

Robinson’s Podcast #240 - Peter Godfrey-Smith: Cuttlefish, Octopuses, and the Consciousness of Mysterious Minds Peter Godfrey-Smith is a professor in the School of History and Philosophy of Science a...

12 Jan 20251h 31min

239 - Ned Block: Consciousness, Artificial Intelligence, and the Philosophy of Mind

239 - Ned Block: Consciousness, Artificial Intelligence, and the Philosophy of Mind

Ned Block is Silver Professor at New York University in the Departments of Philosophy and Psychology, where he works on the philosophy of mind, the philosophy of neuroscience, and cognitive science. I...

29 Dec 20241h 35min

238 - Barry Loewer: What Is The Philosophy of Science?

238 - Barry Loewer: What Is The Philosophy of Science?

Barry Loewer is Distinguished Professor of Philosophy at Rutgers. Before that he did his PhD in philosophy at Stanford. Barry works largely in the philosophy of physics, the philosophy of science, and...

15 Dec 20242h 1min

237 - Tim Maudlin: A Masterclass on Special Relativity

237 - Tim Maudlin: A Masterclass on Special Relativity

Tim Maudlin is Professor of Philosophy at NYU and Founder and Director of the John Bell Institute for the Foundations of Physics. This is Tim’s seventh appearance on the show. He last appeared on epis...

8 Dec 20242h 3min

236 - David Albert: A Masterclass on Time’s Arrow

236 - David Albert: A Masterclass on Time’s Arrow

David Albert is the Frederick E. Woodbridge Professor of Philosophy at Columbia University, director of the Philosophical Foundations of Physics program at Columbia, and a faculty member of the John B...

2 Dec 20242h 2min

Populärt inom Vetenskap

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