282 | Joel David Hamkins on Puzzles of Reality and Infinity

282 | Joel David Hamkins on Puzzles of Reality and Infinity

0 Umsagnir
0
Episode
333 of 400
Lengd
1Klst. 18Mín.
Tungumál
enska
Gerð
Flokkur
Óskáldað efni

The philosophy of mathematics would be so much easier if it weren't for infinity. The concept seems natural, but taking it seriously opens the door to counterintuitive results. As mathematician and philosopher Joel David Hamkins says in this conversation, when we say that the natural numbers are "0, 1, 2, 3, and so on," that "and so on" is hopelessly vague. We talk about different ways to think about the puzzles of infinity, how they might be resolved, and implications for mathematical realism.

Blog post with transcript: https://www.preposterousuniverse.com/podcast/2024/07/15/282-joel-david-hamkins-on-puzzles-of-reality-and-infinity/

Support Mindscape on Patreon.

Joel David Hamkins received his Ph.D. in mathematics from the University of California, Berkeley. He is currently the John Cardinal O'Hara Professor of Logic at the University of Notre Dame. He is a pioneer of the idea of the set theory multiverse. He is the top-rated user by reputation score on MathOverflow. He is currently working on The Book of Infinity, to be published by MIT Press.

Web siteNotre Dame web pageSubstackGoogle Scholar publicationsPhilPeople profileWikipedia

See Privacy Policy at https://art19.com/privacy and California Privacy Notice at https://art19.com/privacy#do-not-sell-my-info.


Hlustaðu og lestu

Stígðu inn í heim af óteljandi sögum

  • Lestu og hlustaðu eins mikið og þú vilt
  • Þúsundir titla
  • Getur sagt upp hvenær sem er
  • Engin skuldbinding
Prófa frítt
is Device Banner Block 894x1036
Cover for 282 | Joel David Hamkins on Puzzles of Reality and Infinity

Other podcasts you might like ...