Oh, I'd also like to guess that if O(x) means that x is an omniscient device
or oracle that the implications go this way:
O(x) ==> R([x])
AND
O(x) ==> S(x).
The second one should be easy to prove while the first, for me, is less
obvious and possibly false.
Let's suppose that has any bearing on truth. Then the new implications are
this:
O(x) ==> R([x]) ==> C(x) <== S(x) <== O(x).
(Graphically, this is a cycle.)
Therefore, an omniscient device must be conscious, self-aware, and appear
random (inconsistent, even!).
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Received on Mon May 12 2008 - 20:04:57 PDT