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Question from a radio talk-show host: I’ve always thought that Noahic Covenant theology was the equivalent of Natural Law theory. Isn’t it why we can unite in affirming the U.S. Declaration of Independence, because ethical monotheism is shared ground?
We cannot say that the Noahide Commandments derived intellectually from observations of the natural order. Not even with the understanding that G-d created nature and invested it with G-dliness. G-d gave the first six of the Noahide Commandments directly to Adam in the Garden of Eden. This happened on the day He created Adam, before Adam ate from the Tree of Knowledge of Good and Evil! In such a state of perfection, what was the need for a set of commandments?

In the original Hebrew, the word for commandment – which is “mitzvah” – also means “connection”. Why? There seems to be an infinite separation between a finite human and the Unlimited G-d. However, a person bridges this gap when he accepts G-d as his King. This is done by submitting one’s own thought, speech and actions to G-d’s infinite will and wisdom. How is this possible? G-d contracted His will and wisdom into the form of the Divine commandments that He gave to each person. They inform a person about connecting with G-d by behaving according to Truth-based, authentic faith within the natural order.
Thus the faith of the Seven Noahide Commandments brings the true concept of unity to the world. This means both the unity of G-d (monotheism directed toward the true Creator and Director of the universe) and the unity of mankind. This is a world in which all people come to the One G-d in peace and harmony. This is the meaning of the prophecy (Zechariah 14:9). “G-d will be King over the entire earth; in that day, G-d will be One and His Name will be One.”
In summary, the 7 Noahide Commandments, and their application, are not dependent on anyone’s subjective interpretation of the observed natural order.