Here is an interesting proposition from KAZ to fit concern for others, specifically children, into a libertarian philosophy:
But I’ve presented a reasonable alternative for libertarian child-rearing; by placing ANY human being in a position of dependency without his consent, YOU become responsible for his getting back out of it. Period.
If you are driving drunk, and hit a pedestrian, putting him in intensive care, YOU have the legal, moral, ethical…and everything else…obligation to do whatever is necessary to support his recovery.
This is true, obviously, of any child you place in a similar position, where she needs the Intensive Care of being raised until she’s competent to care for herself. As the proxy of her own decision-making powers, you must be free to decide how to raise her, but not to simply kill her.