赫兹伯格语句及其构造  

Herzbergerian Sentences and Their Construction

作　　者：熊明 Xiong Ming

机构地区：[1]华南师范大学哲学与社会发展学院

出　　处：《哲学动态》2020年第9期96-103,F0003,共9页Philosophical Trends

基　　金：国家社会科学基金一般项目“语义悖论的可容许模型研究”(19BZX136)的阶段性成果。

摘　　要：所有已知的悖论语句在其修正过程的有穷阶段上都出现周期性的循环样式。对此,赫兹伯格设想了一种在修正过程中“越来越慢地交错真假”的语句:它们在连续的两个阶段为真,在随后的连续三个阶段为假,进而又在随后的连续四个阶段为真,以此类推。本文基于一种构造有穷悖论的方法,借助无穷命题逻辑语言,构造出赫兹伯格语句——它们本质上是一种无穷悖论。此方法从特定修正过程出发,逆向构造出具有特定复杂度的悖论。这种构造扩展了当前真理论中的悖论语句的范围,为悖论的研究提出了新的课题。At the finite stages of revision processes,the sentence structures of most well-known paradoxes reveal a cyclic pattern.Seeing this,Herzberger conceived sentences that would be true for two stages,then false for three,then true again for four stages,and so on with increasingly slow alternation.Examining the method of constructing finite paradoxes,this paper conceives Herzbergerian sentences in the language of an infinite propositional logic that is essentially based on infinite paradox.The method employs a reverse engineering by which we can construct a paradox with a certain complexity from certain processes of revision.This method of construction expands the scope of paradoxical sentences in current truth theory and raises new topics for the study of paradoxes.

关 键 词：悖论 赫兹伯格语句 修正过程 循环 真 

分 类 号：B81[哲学宗教—逻辑学]