Joel David Hamkins is a renowned mathematician and philosopher whose work covers logic, computability, game theory, the philosophy of infinity, and more. He’s also the top rated user by reputation on the MathOverflow network.
Find episode details, video and more at: https://www.matthewgeleta.com/
Topics:
* the concept of truth in maths and elsewhere
* the nature of proof in mathematics
* the acclaimed completeness and incompleteness theorems
* the relationship between mathematical thinking and the human mind ...
and other topics
Joel's links:
* Substack: https://www.infinitelymore.xyz/
* Book of infinity: https://www.infinitelymore.xyz/s/the-book-of-infinity
* Panorama of logic: https://www.infinitelymore.xyz/s/panorama-of-logic
* Other books: https://www.infinitelymore.xyz/p/books
SUPPORT & CONNECT:
- Follow and leave a 5-star review
- LinkedIn: https://www.linkedin.com/in/matthewgeleta/
- Twitter: https://twitter.com/MatthewGeleta
- Donate: https://bit.ly/donate-to-paradigm
PODCAST INFO:
- Spotify: https://spoti.fi/3IVDF2W
- Apple Podcasts: https://apple.co/3oEZYmJ
- Google Podcasts: https://bit.ly/paradigm-on-google
- YouTube: https://bit.ly/paradigm-on-youtube
- RSS: https://api.substack.com/feed/podcast/1656558/s/65176.rss
Timestamps:
0:00 Intro
1:17: Truth
8:38 Intuition vs objective truth
13:15 Proof
20:39 Completeness
30:18 Incompleteness
37:20 Is completeness a 'problem'?
43:07 Hierarchies of logical systems
48:44 Axioms and where they come from
1:03:50 Motivations for studying pure mathematics
1:19:57 Joel's books
1:22:58 Who should represent humanity to an AI superintelligence?
