In pace with the virtual world which is based on the developing of internet technology and virtual reality technology being integrated quickly into productive system and consumption system in contemporary social-economic system,how to look upon virtual world and the relations between virtual world and real world have being a essential question to which people must pay attention and expound.

It had long been believed that “Mathematics was a science that studies quantitative relations and spatial form of the real world” and that the definition could be traced to Engels(Some scholars even state that it was given by Engels).

The history of mathematics development indicated that the relation between mathematics and the real world experienced three stages.

Idealistic World,Realistic World;

We hold that there are contacts and differences between idealized world and realistic world and between science concept and everyday concept.

The former indicates that the accordant relation between propositions and the realistic world that out of propositions, and the latter indicates how the situation of realistic world expressed in the realistic world.

Nihilism is defined as the logical results caused by continuous human negation and criticism against the real world.

The component part of VR,its motivation and the full function all root deeply in the real world.

The western legalorder is divided into the realistic world and the legal world, with the former being ruled by the latter.