Paul in Conflict with the Veil

Thomas Schirrmacher argues that from the biblical teaching that man is the head of woman (1 Cor 11:3) the Corinthians had drawn the false conclusions that in prayer a woman must be veiled (11:4-6) and a man is forbidden to be veiled (11:7), and that the wife exists for the husband but not the husband for the wife (11:8-9).