Ambrose of Milan
Matthew records that Jacob, the father of Joseph, was the son of Matthan, while Luke identifies Joseph, who was betrothed to Mary, as the son of Elijah, and Elijah as the son of Melchiah. This raises the question of how one person can have two fathers—Elijah and Jacob—and two paternal grandfathers—Matthan and Melchi. However, upon closer examination, one can see that the Old Law stipulated that two brothers could each have half-sons from the same wife (refer to Deuteronomy 25:5-10). According to tradition, Matthan, a descendant of Solomon, fathered Jacob and died, leaving a widow who later married Melchi, who fathered Elijah with her. After Elijah's death, without any heirs, his brother married his widow and had a son named Joseph.
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Thus, Joseph is referred to as the son of Jacob because, in accordance with the precepts of the Old Law, a brother is obligated to restore the lineage of his deceased sibling (as seen in Gen. 38:8, Mk. 12:9, Lk. 20:28). Therefore, while Joseph is biologically the son of one man, the law also recognizes him as the son of another. This principle ensures that the lineage of the departed continues, though the Jewish interpretation often missed the fullness of this promise, interpreting it too literally. Ultimately, a different Brother was destined to restore the lineage of those who had passed—not through earthly ties, but through a grace-filled bond. It is possible that redemption comes not through a brother in the usual sense, but through the Lord, the mediator between God and mankind, Jesus Christ (1 Tim. 2:5), the one who granted the grace of resurrection (though there are varied interpretations of this, which we will address elsewhere).