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Perhaps such a machine that can detect itself also has a link to
self-awareness.
Perhaps the halting problem "=?self-referencing" problem and "self
awareness" are related to each other ! ;)
Thus a machine that can detect "self referencing" might become
self-aware !
A bit freightening thought if you have seen THE TERMINATORRRRRRRR ! =D
Bye,
Skybuck.
P.S.: I wrote this 13 june 2021, but the mail client didn't post it and google number of post was limited but I decide to post this anyway, maybe you will find it mildly interesting ! =D