Suppose I built a machine with artificial skin that felt the temperature of the cup and added ice to cold cups and lit a fire under hot cups.
Should this say "added ice to hot cups and lit a fire under cold cups"?
"Oh, right," said Xenophon, "How about 'Systems that would adapt their policy if their actions would influence the world in a different way'?"
"Teacup test," said Socrates.
This seems wrong. The artificial-skin cup adds ice or lights fire solely according to the temperature of the cup; if it finds itself in a world where ice makes tea hotter and fire makes tea colder, the cup does not adapt its strategies.
I think this might be trying to talk about something related to identity of indiscernibles, the disquotational principle, and the masked-man fallacy. I'm not sure how you get from "different names for the same entity" to "magical clones", though.
You may want something like "the Christian version". Ancient Greek paganism was a religion.