Virtually Undefinable
Question: What happens when a machine incapable of making an entirely arbitrary choice encounters a juncture requiring an arbitrary choice in order to proceed?
Answer: I do not believe that we know.
If one is to resolve this, I believe that the process would open the arbitrary choice junctures identified.
The attempt to resolve this actually requires a refined form of proving by the negative. This is to say that one must crystallize the structure as evidence, but ultimately prove one's work to be zero, like the inverse of most mathematical processes, in order to prove the juncture as separate, and therefore not nullify the definition of "arbitrary."
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