What is the significance of the Greeks having an altar to an “unknown God”?
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in the sixth century B.C., when the writer Epimenides lived, there was a plague which went all through all Greece. The Greeks felt that they more likely than not outraged one of their divine beings, so they started offering penances on raised areas to all their different bogus divine beings. When nothing worked they figured there should be a Divine being who they didn't think about whom they should by one way or another appease. So Epimenides thought of an arrangement. He delivered hungry sheep into the open country and educated men to follow the sheep to see where they would rests.

He accepted that since hungry sheep would not normally rests yet keep on touching, if the sheep were to rests it would be a sign from God that this spot was consecrated. At each spot, where the sheep tired and layed down, the Athenians constructed a special raised area and relinquished the sheep on it. A while later it is accepted the plague halted which they credited to this Unknown God tolerating the penance.

Explanation:

The Unknown God or Agnostos Theos is a Divine being referenced by the Christian Missionary Paul Areopagus discourse in Acts 17:23, that notwithstanding the twelve primary divine beings and the countless lesser gods, old Greeks loved a god they called "Agnostos Theos"; that is: "The Unknown God", which Norden called "Un-Greek". In Athens, there was a sanctuary explicitly committed to that god and regularly Athenians would swear "for the sake of The Unknown God"

he supported the seperation of church and state. he also promoted religious tolerance.