Joel David Hamkins: Philosophy of Mathematics and Truth

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?