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:   / stephen_wolfram  

Read all of NKS here: https://www.wolframscience.com/nks/

3:49 Stephen introduces Chapter 2
4:42 Stephen discusses Section 1: How Do Simple Programs Behave?
15:52 Section 2: The Need for a New Intuition
23:30 Notes from NKS
51:17 Here's a story about Feynman and Rule 30
54:50 Notes continued
58:27 Section 3: Why These Discoveries Were Not Made Before
1:33:34 Notes from Section 3
1:41:32 History of Cellular Automata
1:51:10 Question. In this chapter's notes you say "I worked hard to analyze the behavior of cellular automata using ideas from statistical mechanics, dynamical systems theory and discrete mathematics." Could you tell us if after the book's publication there has been any progress in applying traditional methodologies to the analysis of rule 30?
1:52:07 Question: Are these Elementary Cellular Automata maybe correlated to Galois Pseudo Random Number generators? From my computer experiments I have a feeling that some of them are very similar.
1:52:30 what are the definition of "nested patterns", are they reversible, such that you can get back. i.e. are all bits and bitpatterns nested
1:52:49 What happened to the Rule 30 random number generator? Did you lose confidence in it? Is it still being used?
1:54:34 Is that a good rule of thumb? If it can't be decoded by Feynman that it is irreducible? Does that count as a proof?
1:55:14 Question: In the notes of ch.2. you write that "Programs that simulate natural systems are among the most computationally expensive." Do you have the same view on that today or has that changed?

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