I wouldn't do Atkins induction level eating if I were nursing any more than I would do a vegan diet while nursing. Atkins himself says that it is okay for nursing mothers to do maintenance, but they should not do any of the other three stage of Atkins. I have no problem with an adult eating a vegan diet -- I would not presume to criticize that choice any more than I would want them to criticize my choice -- I just don't think a strict vegan diet is a good idea for a nursing mother. We don't know enough about the effects of major food groups being eliminated from our diet on our quality of breast milk to take the risk of either following Atkins induction or a vegan diet while nursing or pregnant.