In the book "Real Analysis",HamaHcoH claimed that he can prove 2■0≥■1 without the axiom of choice.

A new algebraic proof of the completeness of first order logic is obtained, of which the use of γ-interpretation based on the representation theorem of Boolean algebra is avoided, but the proof is based on the concept of -interpretation with respect to certain Q-filter  and the axiom of choice is employed.

At present the urban residents of our country always make a reasonable choice about the participation in community.

The reputation is the result of reasonable choice for people to seek for maximizing long–run profit,and it is also the foundation for market economy.

Circular economy is man s rational choice;

The analysis and thinking of the issue of the female postgraduates procreating during the study——a review of Rational Choice Theory;

Employment Pressure and Professional Commitment of Undergraduates——A rational choice theory angle;

On the basis of the characters of assets value of wood,the paper analyses rational selection of the government and the individual in the Cropland to Forest and Grassland Project, and illustrates the internal logic which is the basis of the Cropland to Forest and Grassland Project.

To judge if the value choice is right logically,our standard is to realize the choice rationality during the process of our choosing values.