Within the confines of a private property social order, gratuitous goods are the logical antipode of commodities purchased on the market, horizontal opposition.

在一个以私有财产权为基础的社会秩序内，无是市场购买的的逻辑对立面，形成的对立。

The case of the mugger is of fundamental importance for the theory of gratuitousness in that it represents the logical antipode of the gratuitous acquisition of property.

抢劫犯的例子对于无理论来说具有根本的重要性，因为它代表了无获得财产的逻辑对立面。