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Does the first Law of Noach prohibit idolatry or being an atheist, or both?

In some formulations of the 7 Noahide Laws, the first law is given as "Denying G-d" (or similar). In others, it is described as "idolatry." I have no doubt that idolatry is indeed forbidden by the Noahide laws, but is there a broader meaning to the first law that would also prohibit, say, disbelief in G-d?

Related: For the Noahide laws, what should Noahides, who are unaware of the biblical God, do?

Do non-Jewish children taken captive lose the obligation to be Bnei Noach?

marked as duplicate by Double AA May 29 '16 at 18:01

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