As the Margaret Beaufort Institute in Cambridge hosts a new conference on women and the diaconate, some still say there is enough evidence in history to ordain women, at least to the diaconate. For others, irrespective of history or Catholic theology, it is more simply about equality or justice towards women today. What is evident from the vast literature on the subject is that the conclusions depend on just two different interpretations of the same facts; one interpretation is in accordance with the magisterial Tradition of the Church, the other is not.