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Re:Nasa’s Mars Rover Opportunity Concludes a 15-Year Mission by Strilanc on Thursday February 14, 2019 @05:47AM (#19160958)
> I've been told, but never actually looked it up, that there is a theorem that proves you always have to have at least one single point of failure.

In what context? There's a theorem that arbitrarily-reliable computation can be done with noisy components, as long as the noise is below some threshold (e.g. picture less than 1 error per 10 operations). [1]

1: von Neumann, J. (1956). "Probabilistic Logics and Synthesis of Reliable Organisms from Unreliable Components", in Automata Studies, eds. C. Shannon and J. McCarthy, Princeton University Press, pp. 43–98 http://www.cyclify.com/wiki/images/a/af/Von_Neumann_Probabil...

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