Obviously there are some rules that apply to a civilized society. The aforementioned property rights are part of natural law. Anarchism doesn’t mean lawlessness or the absence of morals, it means a civilized society without a state monopoly on violence.

Explain to me how "property rights" can be part of natural law in a world of limited resources into which more and more people are born. Are the latecomers just unlucky that there is no unclaimed land around? How much property can one person morally claim?