[FRIAM] LNC Impossibility Theorem
Jon Zingale
jonzingale at gmail.com
Sat Sep 26 13:20:30 EDT 2026
While I can appreciate the sentiment regarding Abel and Galois, the
impossibility of solving the general quintic by radicals has a strikingly
different form. Its Galois group is not solvable, giving a precise
obstruction to a solution by radicals. In your case, it seems less like an
impossibility that two graphs could be the same and more like a claim that
they are unlikely to be the same. Perhaps two path-dependent processes are
unlikely to generate the same graph, but that is not the same as proving
they cannot.
My own tendency is to think that a graph generated by material processes
over a finite life may have only finitely many distinguishable
configurations. That leaves open the possibility of collisions. The
birthday problem or hash collisions seem like closer analogies to me.
There also seems to be more work to do in showing why *consciousness*
(whatever is meant by the word) should be modeled by an adjacency graph,
and why a theorem about such graphs would resolve the hard problem.
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