语言模糊性根源新探

A New Exploration on the Origin of Language Fuzziness

数学算术化认为,自然数系统是整个数学大厦的基础,自然语言最明显的共性在于语义背后的整个意义系统。自然数系统和语义系统的对比研究表明:精确性只存在于一个静态的封闭系统中,是相对的,模糊性是语言充当人类认知参照点的结果,是绝对的,其只有放在某个认知场才有意义;精确性和模糊性都来源于认知主体和客体的相互作用,是辩证统一的,其辩证统一的基础在于认识的历史性、无限性决定了人类只能够用离散来把握连续,用有限去追求无限。

Arithmetization takes natural number system as the basis of modern mathematics while the obvious linguistic universal is the meaning system behind different natural languages. We can draw a conclusion from the comparison between natural number and meaning that both exactness and fuzziness are meaningful only in a cognitive field and the former is relative,which can only exist at a static and close system; while the latter is universal,which is the result of being the cognitive reference point. Both exactness and fuzziness come from the interaction of the cognitive subject and object,and they are dialectical and unitive,based on the historicity and infinity of human cognition,which determines what we can do is to hold the continuum by discreteness,infiniteness by definiteness.