The words “lamb” and “αρνι´” are both symbols, and both happen to represent the same wooly object.
Sure, but the latter phrase means nothing to me (I don't speak the language) and thus I wouldn't be able to recognize it as a symbol. This makes me wonder about how arbitrary symbols are. Who's to say a pile of dirt isn't a symbol for, say, a horse? To me, "αρνι" is as much a symbol for "lamb" as a pile of dirt is a symbol for a horse. Does it require that at least one observer somewhere in the universe understands dirt -> horse, just as αρνι meaning lamb just requires a subset of people to understand it as "lamb"?