词类划分的数学理论

A MATHEMATICAL THEORY FOR WORD CLASSIFICATION

本文探讨在分布标准下词类划分的数学理论，证明了用分布分析方法进行词类划分，是一个求最大不动点的选代过程，本质上不存在逻辑循环。理想的同类划分──最大不动点是在极限意义下可计算的，从而澄清了语言学界多年来对分布分析方法的误解，论证了词类划分的分布标准的科学性。

Word classification is still an open issue for the linguistic research of Chinese.A fixed-point theory of word classification is proposed in this paper. According to our result,the Distributed Analysis (DA) method for word classification can be used in a process of iteration, so that the 'logical circle' critique on DA method does not hold. The ideal classification, i. e., the maximal fixed-point, is computable in the limit. This paper therefore cleared out the misunderstandings on DA method among linguists, and proved the distribution criterion to be scientific.