Alan Turing’s proof of the undecidability of non-trivially sophisticated algorithms is sufficient reason for:
• the autonomously adaptive, complex information strategies of life; and,
• the intractably problematic and recursively non-terminating information transcription of cancer.
Daedelus Kite 
5 replies on “Turing, Undecidability, Adaptation and Cancer”
Donald Knuth wrote in his Fundamental Algorithms that any piece of code over 1000 lines of code would be impossible to debug completely.
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Yes. It is unsurprising. Also: Turing’s solution distilled elements of Gödel’s, I believe, and used a cleverly recursive proof by contradiction.
Universal debuggers are logically impossible. This pretty much enshrines the inevitability of endless bugs and breaches but there is something deeper regarding logic and entropy in the kernel of this problem. There is a core blind-spot here that in disentangling will complicate this context by orders of magnitude; an intuition…
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Reblogged this on Stone Security and commented:
Donald Knuth wrote in his Fundamental Algorithms that any piece of code over 1000 lines of code would be impossible to debug completely.
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Fascinating. The combinatorial depth is astonishingly complex. No surprises then, perhaps, that biological systems are operational in probabilistic fields of stochastic tendency more than by, through or as strict rule-governed regimes. One might say that the only overarching rubric and rule set is its own absence.
Thanks for feedback, Mike. Apologies for (significant) delay in response.
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