Research, Development Of Human Society Based On Mathematical Models

The world and the age nowadays have already taken place many deeply changes as compared with the past, and these changes make social development face many new circumstance and problems. Therefore, exploring new angle of views and new methods of investigating social development laws, based on the contemporary understanding on the basic principle of the history materialism, has becoming a very urgent history mission.Since 21^st century, mathematics has played a peculiarly important role on the filed of natural science and has permeated into the filed of social science along with the huge success obtained by natural science. As a kind of language system describing the research objects, Mathematics takes the advantage of formalized symbol, accurate quantity; formulized recapitulation and so on when used to depict the objective laws with it. In view of those characteristic about mathematics, we would start our analysis form the most basic aspect in social activities, that is, the economic activities for our living and development, and investigate social development laws with a mathematical model. By doing so, not only can it deepen our comprehension for social development laws, but also can clarify some misty understandings existing in society development, and aim at providing a leading of methodology for some problems for resolving some problems meet during the society developments currently.A mathematical model on standard of living was established through the analysis of relation between social demand and social supply, based on the most basic aspect in social activities, that is, the economic activities for our living and development. From the model, three sufficient and necessary condition of social economic development are necessary: the first is the savings; the second is the savings must be capitalized for the development; the third is a positive social force must be established.Base on the mathematical model, we analyzed three basic economic growing modes, i.e., the accumulation mode, the capital mode and the social force mode, and demonstrated economic evolved following exactly above order. By comparison with history phenomena appearing in the industry economic development, not only can the rationality and usefulness of the model be effectively proved, but also can understand deeply the industry economic development laws.Through deducing various mathematics relations from the mathematics model, and classifying the whole resources as three types, that is, renewable natural resources, nonrenewable natural resources and intellectual resources, we can demonstrate that it is inevitable that social development follows the sequence of the agricultural society relying on renewable natural resources firstly, the industrial society relying on nonrenewable natural resources secondly, and the intellectual society relying on intellectual resources lastly. This conclusion agrees well with history phenomena, and thus the rationality and usefulness of the model can be effectively proved.Through deducing various mathematics relations from the mathematics model, we can find the social structure transition is of necessity of history development, which aimed at exploring new kinds of supporting resources for economic development. To make the social structure transition smoothly, several factors are necessary, such as the demand condition, system condition, the resources condition and the science and technology condition etc. Nowadays just is placed in the period of the social structure transition from the industry society towards the knowledge society. To promote this transition successfully, several works must be deal well with by government as follows: (1) developing the demands according with the knowledge-based economy; (2) regulating system; (3) accumulating knowledge resources and promote it abundance; (4) promoting knowledge resources to be capitalized for the social development.