"The parent should not have a legal obligation to feed, clothe, or educate his children, since such obligations would entail positive acts coerced upon the parent and depriving the parent of his rights. The parent therefore may not murder or mutilate his child, and the law properly outlaws a parent from doing so. But the parent should have the legal right not to feed the child, i.e., to allow it to die."
I think what Rothbard and Rand both illustrate is the flaw of letting logical consistency override every other consideration, including basic human decency and moral intuition, when developing one's moral sense.
"The parent should not have a legal obligation to feed, clothe, or educate his children, since such obligations would entail positive acts coerced upon the parent and depriving the parent of his rights. The parent therefore may not murder or mutilate his child, and the law properly outlaws a parent from doing so. But the parent should have the legal right not to feed the child, i.e., to allow it to die."
See http://mises.org/rothbard/ethics/fourteen.asp
Yeah, pretty disgusting.