What is the case against the case against women’s ordination?

Alastair Roberts is an astute, articulate and assiduous commentator on both scripture and society. I’ve enjoyed reading a lot of what he has written. But I’m disappointed by his defence of the complementarian view of male-female relations in family and church.
In a recent video he makes the case against women’s ordination. He begins by listing briefly the obvious biblical arguments against the egalitarian position: the explicit restrictions found in 1 Corinthians 14 and 1 Timothy 2; the circumstantial evidence that Jesus chose male disciples; the presumption of male leadership in the New Testament church (he defers discussion of the “apostle” Junia); and the precedent of male kingship and priesthood in the Old Testament.
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