Page "New Covenant" Paragraph 19

Thus as the Apostle Paul advertises that the Old Covenant of Sinai does not in itself prevent Jews from sinning and dying, and is not given to Gentiles at all ( with the notable exception of Noahide Law and the rules for proselytes in the Torah ), Christians believe the New Covenant ends the original sin and death for everyone who becomes a Christian and cannot simply be a renewal of the Mosaic Covenant since it seemingly accomplishes new things.

See also Types of Supersessionism.