Chapter
Discovering the Secrets of Rule 30
2:01:56 - 2:09:30 (07:33)
Stephen Wolfram discusses the endless possibilities of discovering what Rule 30 does for billions or trillions of steps, and how creatures in the computational universe will always be smarter. He also mentions a prize he is offering related to Rule 30.
Clips
The speaker talks about the challenges of understanding the computational universe, citing Rule 30 as an example.
2:01:56 - 2:06:00 (04:04)
Summary
The speaker talks about the challenges of understanding the computational universe, citing Rule 30 as an example. Despite knowing what Rule 30 does for a billion steps, it remains difficult to predict its behavior beyond that, highlighting the superiority of computational creatures.
ChapterDiscovering the Secrets of Rule 30
Episode#89 – Stephen Wolfram: Cellular Automata, Computation, and Physics
PodcastLex Fridman Podcast
Stephen Wolfram discusses his experiments with Rule 30 and the possibility of its repetitiveness after a trillion steps, which could reveal something interesting about the cellular account itself and help build intuition.
2:06:00 - 2:06:45 (00:45)
Summary
Stephen Wolfram discusses his experiments with Rule 30 and the possibility of its repetitiveness after a trillion steps, which could reveal something interesting about the cellular account itself and help build intuition.
ChapterDiscovering the Secrets of Rule 30
Episode#89 – Stephen Wolfram: Cellular Automata, Computation, and Physics
PodcastLex Fridman Podcast
Alex Smith discovered that the Turing machine that can be considered universal is incredibly simple compared to the ones that were previously known, which highlights that computation universality is closer than we might have thought.
2:06:46 - 2:07:53 (01:06)
Summary
Alex Smith discovered that the Turing machine that can be considered universal is incredibly simple compared to the ones that were previously known, which highlights that computation universality is closer than we might have thought. However, the actual methods are not illuminated and lack elegance.
ChapterDiscovering the Secrets of Rule 30
Episode#89 – Stephen Wolfram: Cellular Automata, Computation, and Physics
PodcastLex Fridman Podcast
The theorem proof to Verma's last theorem is too complex to fit into the margins of a page.
2:07:53 - 2:09:30 (01:36)
Summary
The theorem proof to Verma's last theorem is too complex to fit into the margins of a page. The podcast discusses the challenges of navigating through undecidable mathematics while providing insights into mathematical rules that delight scientists.