中国传统数学哲学本体论初探

On the Ontology of Chinese Traditional Mathematical Philosophy

中国传统数学家在数学哲学观念上受到中国传统文化,尤其是受到中国传统哲学的影响,这也形成了中国传统数学家所理解的数学本体及存在方式与中国传统哲学本体及存在方式与具有一致相通性。这种一致相通性决定了中国传统数学的本体可以由中国传统哲学的本体推导出来,其结论就是中国传统数学研究对象是数,存在方式为抽象的存在于可感事物之中。而且这种方式推导出的以上结论与个别中国传统数学家所理解的数学对象及存在方式大体上是相同的,但更具有普遍性。

Chinese traditional mathematicians are influenced by Chinese traditional culture in the philosophy of mathematics,especially influenced by Chinese traditional philosophy.This also forms the mathematical ontology and the way of existence that Chinese traditional mathematicians understand that is consistent with the traditional Chinese philosophical ontology and existence.This kind of interoperability determines that the ontology of traditional Chinese mathematics can be derived from the ontology of traditional Chinese philosophy.The conclusion is that the traditional Chinese mathematics research object is the number,and the existence mode is abstract in the sensible things.Moreover,the above conclusions derived from this method are basically the same as those of the traditional Chinese traditional mathematicians,but they are more universal.