I'm not sure anyone else than Tegmark himself can answer this, but why not give it a try.

  1. Would Tegmark consider a cellular automata a mathematical structure?

  2. If nature is mathematical, isn't it also possible that it is a cellular automata? The behaviour of a CA can't be predicted without going through its individual steps. Wouldn't that mean that even if nature is mathematical, it would still be unpredictable?

  • $\begingroup$ Who is Tegmark ? $\endgroup$ – Jean Marie May 26 at 18:10
  • $\begingroup$ @JeanMarie: en.wikipedia.org/wiki/Max_Tegmark $\endgroup$ – Hans Lundmark May 26 at 18:14
  • $\begingroup$ Not sure if this answers your question, and wether you have watched this: youtube.com/watch?v=wgSZA3NPpBs . There's a possibility that the universe had an initial condition at the beginning at that it is run by a cellular automaton. But nobody knows. I can mention a few people who had the same ideas as Tegmark or similar to them: Ed Fredkin, Stephen Wolfram and perhaps James Gates. And some people in the past: Von Neumann, Konrad Zuse and perhaps Richard Hamming. I might have forgotten someone. But there are a good chunk of literature out there.. $\endgroup$ – Natural Number Guy Jun 17 at 12:57
  • $\begingroup$ @NaturalNumberGuy Thanks, I'll have a look! $\endgroup$ – Olle Härstedt Jun 17 at 13:24

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