42 - Joel David Hamkins: Paradox, Infinity, & The Foundations of Mathematics
Robinson's Podcast12 Tammi 2023

42 - Joel David Hamkins: Paradox, Infinity, & The Foundations of Mathematics

Joel David Hamkins is the O’Hara Professor of Philosophy and Mathematics at the University of Notre Dame, where he recently moved from the University of Oxford. Joel is one of the leading set theorists and philosophers of mathematics in the world, and he and Robinson discuss a lot—Hilbert’s Hotel, the continuum hypothesis, the set-theoretic multiverse, and even Joel’s dapper hat collection—but the main subject is his upcoming book, The Book of the Infinite, which is an accessible text on paradoxes and infinity. Joel has made the novel move of serializing it on Substack, so you can participate in its creation by checking out the link below, and otherwise see what he’s thinking about and working on through Twitter, MathOverflow, and his blog. The conversation grows technical from 1:10:26-2:00:25, but for those to whom that doesn’t appeal there are timestamps to navigate around this portion of the show.

Substack: https://joeldavidhamkins.substack.com

Twitter: https://twitter.com/JDHamkins

MathOverflow: https://mathoverflow.net/users/1946/joel-david-hamkins

Joel’s Blog: http://jdh.hamkins.org

OUTLINE:

00:00 Introduction

2:52 Is Joel a Mathematician or a Philosopher?

6:13 The Philosophical Influence of Hugh Woodin

10:29 The Intersection of Set Theory and Philosophy of Math

16:29 Serializing the Book of the Infinite

20:05 Zeno of Elea, Continuity, and Geometric Series

39:39 Infinite Games and the Chocolatier

53:35 Hilbert's Hotel

1:10:26 Cantor's Theorem

1:31:37 The Continuum Hypothesis

1:43:02 The Set-Theoretic Multiverse

2:00:25 Berry's Paradox and Large Numbers

2:16:15 Skolem's Paradox and Indescribable Numbers

2:28:41 Pascal's Wager and Reasoning Around Remote Events

2:49:35 MathOverflow

3:04:40 Joel's Impeccable Fashion Sense

Linktree: https://linktr.ee/robinsonerhardt

Twitter: https://twitter.com/robinsonerhardt

Instagram: https://www.instagram.com/robinsonerhardt/

Twitch (Robinson Eats): https://www.twitch.tv/robinsonerhardt

YouTube (Robinson Eats): youtube.com/@robinsoneats

TikTok: https://www.tiktok.com/@robinsonerhardt


Jaksot(276)

68 - Simon Blackburn: Moral Realism, Antirealism, and Quasirealism

68 - Simon Blackburn: Moral Realism, Antirealism, and Quasirealism

Simon Blackburn was Professor of Philosophy at the University of Cambridge and Edna J. Koury Distinguished Professor of Philosophy at the University of North Carolina, Chapel Hill. Though he has worke...

27 Maalis 20231h 8min

67 - David Albert & Tim Maudlin: The Philosophical Foundations of Quantum Theory

67 - David Albert & Tim Maudlin: The Philosophical Foundations of Quantum Theory

David Albert is the Frederick E. Woodbridge Professor of Philosophy at Columbia University, where he directs the Philosophical Foundations of Physics program. Tim Maudlin is Professor of Philosophy at...

25 Maalis 20232h 9min

66 - Noam Chomsky: History and Philosophy of Linguistics

66 - Noam Chomsky: History and Philosophy of Linguistics

Noam Chomsky is Professor of Linguistics Emeritus at MIT and Laureate Professor of Linguistics at the University of Arizona. He not only counts as among the most influential linguists of all time, but...

23 Maalis 20231h 4min

65 - Tania Lombrozo: Explanation and Human Psychology

65 - Tania Lombrozo: Explanation and Human Psychology

Tania Lombrozo is Arthur W. Marks ’19 Professor of Psychology at Princeton University, where she directs the Concepts & Cognition Lab. Before that, she did her undergraduate work at Stanford Universit...

20 Maalis 20231h 25min

64 - Sarah Moss: Probabilistic Knowledge

64 - Sarah Moss: Probabilistic Knowledge

Sarah Moss is the William Wilhartz Professor of Philosophy and Professor of Law by courtesy at the University of Michigan. She works primarily in epistemology and the philosophy of language, though in...

18 Maalis 20232h 31min

63 - Thomas Ryckman & Mark Wilson: The State of Analytic Philosophy

63 - Thomas Ryckman & Mark Wilson: The State of Analytic Philosophy

Thomas Ryckman is Professor of Philosophy at Stanford University, where he works on the philosophy of physics. Mark Wilson is Distinguished Professor of Philosophy at the University of Pittsburgh, whe...

16 Maalis 20231h 39min

62 - David Papineau: Realism, Antirealism, and The Philosophy of Science

62 - David Papineau: Realism, Antirealism, and The Philosophy of Science

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...

13 Maalis 20231h 44min

61 - Keith Frankish: Illusionism and The Philosophy of Mind

61 - Keith Frankish: Illusionism and The Philosophy of Mind

Keith Frankish is an Honorary Professor in the Philosophy Department at the University of Sheffield, a Visiting Research Fellow with the Open University, an Adjunct Professor with the Brain and Mind P...

11 Maalis 20232h 9min

Suosittua kategoriassa Tiede

tiedekulma-podcast
rss-mita-tulisi-tietaa
rss-duodecim-lehti
rss-kasvikutsut
mielipaivakirja
rss-poliisin-mieli
rss-kasvatuspsykologiaa-kaikille
utelias-mieli
docemilia
vinkista-vihia
rss-ranskaa-raakana
rss-ammamafia
rss-astetta-parempi-elama-podcast
rss-tiedetta-vai-tarinaa