The influence of the difficulty of the target problem and the awareness of the related problems of solvers had been examined by experimental research, and there exist the broad abstract relationship between the target problem and the earlier example.

With fuzzy semantics as background, a kind of abstract semantics and its continuity are introduced on the product of a family of totally ordered complete lattices with the index set equipped with certain structure on it, and it is proved that the abstract semantics is compact whenever it is continuous.

Marx and Engels criticized capitalist society in the abstract justice and the justice of the exploiting classes on the basis of the proletariat and the masses of people stand on the position of historical materialism to the basis of historical use of the methods and principles to human freedom as the goal,on the proletarian concept of real justice.

This paper analyses the understanding and the uses of the abstract meanings of the prepositions in three parts:prepositional phrase used as a verb;the function of comparison and negative expression.