论数学摆脱本体论的过程

On the Course That Mathematics Frees Itself from Ontology

数学最初以本体为研究对象 ,而到了 1 9世纪末数学的对象变成了关系。本文通过第五公设导致非—欧几何以及相容性问题的解决 ,指出这一演变过程和可能世界的形态。

Mathematics took the noumenon as its studying object in the early stage. But at the end of 19th century, mathematics' object became the relations. This paper points out the course of its development and the states of possible worlds by Euclid's fifth postulate leading non euclidean geormetries and solves the problem of consistency. [