用数学模型表现人类社会的发展阶段

The Division of the Stages of Human Society Based on a Mathematic Model

以人的存在为基本立足点,从唯物史观的基本立场出发,建立了一个有关人类社会发展的数学模型。借助数学体系的完备性和自恰性,对模型中各种数学关系进行推演,论证了人类社会将相继经历以利用再生资源为主要特征的农业社会,以利用枯竭资源为主要特征的工业社会和以利用人类资源为主要特征的知识社会这样几个历史阶段。这一结论与人类历史的实际进程基本吻合。

Starting from the perspective of historical materialism and taking a humanistic stance, the author of the present paper builds up a mathematic model of social development. Through deducing various mathematic relations from the model in virtue of the maturity and self-logieality of mathematics, we can demonstrate that inevitably the development of human society will go through some stages, that is, from the agricultural society characterized by the utilization of regenerative resources to the industrial society characterized by the utilization of non-regenerative resources and finally to the intellectual society characterized by the utilization of brain resources. The conclusion approximately agrees with the actual progress of human society, proving therefore the rationality and usefulness of the model.