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>> 1. It seems a logical and intuitive result.
>
> Uh, no?
Intuitive is in the eye of the beholder, is it not? Besides, you just
said yourself that there are CAs which are known to be Turing-complete;
why not this particular one?
>> 2. Nobody has disproved it.
>
> That's not how math works. "Hey, P=NP! Well, nobody disproved it."
Nobody has proved it either.
A question which hasn't been proven one way or the other is an open problem.
A question which has a proof one way, and would require only a single
counter-example to disprove the other way, I think can be considered proven.
Unless you're talking about the 4-colour problem...
--
http://blog.orphi.me.uk/
http://www.zazzle.com/MathematicalOrchid*
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