For The Role Of Math Development Infinite

Infinite follows with mathematics development accompanying, has played the very vital role in mathematics developing process. Studies infinite to mathematics development function, regardless of has the important theory significance to the infinite concept essence's understanding to mathematics essence's understanding, specially has the significant instruction regarding mathematics science's modern development to affect and to practice the significance.Infinite mainly displays regarding mathematics development's function in the mathematical object generalization process and in mathematics concept forming process. Mathematics is studies the world thing a quantity discipline, it not in view of concrete thing, but has the universal explanation strength to all things. Mathematics must carry on the summary to the world infinite object, forms suits all object universal statement. Objectively, the request mathematics concept satisfies the infinity request, forms one satisfied infinite concept system. Infinite has caused the concept expansion and the concept connotation expansion in the concept forming process. Next, infinite also displays to mathematics development's function to mathematics knowledge systematization process. Mathematics knowledge's systematized method including the simulated method, the axiomization method, the formalized method and so on, these methods is the infinite concept request inevitably. Only then can cause mathematics through the systematization to be separated from the perceptual experience to have syllogistical, obtains the independent development. Mathematics theory of knowledge's goal is must establish satisfies the infinite mathematical object the universal principle and the method, causes mathematics to state that has the universality truly.Infinite has caused mathematics proposition truthful examination question in the promotion knowledge systematization process. Because the mathematical system has been far away from the concrete mathematical object, is an abstract logic deduction system. It contains the infinity causes mathematical system's truth to be unable to obtain the examination in reality. Thus caused to take mathematical system's sole criterion by the consistency, has provided the possibility for the mathematics free development. Promoted new system's statement, the non-European geometry systematic, the ultra poor set theory is in this kind of situation produces and grows strong.