Unlocking the Secrets of the Principle of Computational Equivalence 🧠
Discover key insights from NKS Chapter 12 as Stephen Wolfram explores the groundbreaking concept of computational equivalence and its impact on science and technology. Celebrate 20 years of A New Kind of Science with this in-depth analysis!
Wolfram
7.0K views • Apr 25, 2022
About this video
In this episode of "What We've Learned from NKS", Stephen Wolfram is counting down to the 20th anniversary of A New Kind of Science with [another] chapter retrospective. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or through the official Twitch channel of Stephen Wolfram here: https://www.twitch.tv/stephen_wolfram/
Read all of NKS here: https://www.wolframscience.com/nks/
00:00 Stream Begins
1:30 Stephen begins talking
7:36 Section 1: Basic Framework
9:20 Section 2: Outline of the Principle
15:14 Section 3: The Content of the Principle
27:03 Section 4: The Validity of the Principle
41:40 Notes from Sections 1-4
1:00:45 Section 5: Explaining the Phenomenon of Complexity
1:01:57 Section 6: Computational Irreducibility
1:10:11 Notes
1:18:53 Section 7: The Phenomenon of Free Will
1:24:53 Notes
1:33:28 Section 8: Undecidability and Intractability
1:55:04 Notes
2:15:45 What's the difference between computation and physical process?
2:16:14 Does computational equivalence imply an mathematical equivalence between the observer and the universe?
2:16:29 Is computational irreducibility related to entropy?
2:17:03 Strange that there are no general methods for proving universality yet. Since for example NAND operation is universal, its easy to prove that by constructing other gates. So why is it so difficult?
2:17:46 What is the field of science that creates all those Curves they tried expanding Ruler and compass with? - Conchoid of Nicomedes. I saw Kempe linkages in the notes
2:18:39 Wrap Up
2:20:48 Stream Ends
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Read all of NKS here: https://www.wolframscience.com/nks/
00:00 Stream Begins
1:30 Stephen begins talking
7:36 Section 1: Basic Framework
9:20 Section 2: Outline of the Principle
15:14 Section 3: The Content of the Principle
27:03 Section 4: The Validity of the Principle
41:40 Notes from Sections 1-4
1:00:45 Section 5: Explaining the Phenomenon of Complexity
1:01:57 Section 6: Computational Irreducibility
1:10:11 Notes
1:18:53 Section 7: The Phenomenon of Free Will
1:24:53 Notes
1:33:28 Section 8: Undecidability and Intractability
1:55:04 Notes
2:15:45 What's the difference between computation and physical process?
2:16:14 Does computational equivalence imply an mathematical equivalence between the observer and the universe?
2:16:29 Is computational irreducibility related to entropy?
2:17:03 Strange that there are no general methods for proving universality yet. Since for example NAND operation is universal, its easy to prove that by constructing other gates. So why is it so difficult?
2:17:46 What is the field of science that creates all those Curves they tried expanding Ruler and compass with? - Conchoid of Nicomedes. I saw Kempe linkages in the notes
2:18:39 Wrap Up
2:20:48 Stream Ends
Follow us on our official social media channels.
Twitter: https://twitter.com/WolframResearch
Facebook: https://www.facebook.com/wolframresearch
Instagram: https://www.instagram.com/wolframresearch/
LinkedIn: https://www.linkedin.com/company/wolfram-research/
Contribute to the official Wolfram Community: https://community.wolfram.com
Stay up-to-date on the latest interest at Wolfram Research through our blog: https://blog.wolfram.com
Follow Stephen Wolfram's life, interests, and what makes him tick on his blog: https://writings.stephenwolfram.com/
Video Information
Views
7.0K
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171
Duration
02:20:47
Published
Apr 25, 2022
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