彩票悖论与序言悖论的统一解  

A Unified Solution to the Lottery Paradox and the Preface Paradox

作　　者：顿新国[1,2] 

机构地区：[1]南京大学哲学系,南京210023 [2]南京大学现代逻辑与逻辑应用研究所,南京210023

出　　处：《科学技术哲学研究》2016年第5期7-11,共5页Studies in Philosophy of Science and Technology

基　　金：国家社科基金项目"归纳悖论与确证逻辑新探"(11BZX061);国家留学基金委访问学者项目

摘　　要：彩票悖论和序言悖论都被学界广泛认为是关于信念的悖论,但对它们的研究基本处于分立态势。论文通过分别考察和分析这两个悖论的形成过程,揭示了它们所具有的统一结构;对在这两个悖论共同的逻辑结构中起关键作用的算子变量作断言解释,断言汇集就是统一结构的最重要构成要素。论文进而分别给出了对相应断言汇集作集合概念和非集合概念这两种可能理解下的彩票悖论和序言悖论的统一解决方案,并对这种方案给予了强有力的哲学辩护。Although both the lottery paradox and the preface paradox are popularly thought as paradox of belief, they are studied separately. The article examines and analyses the formation of the two paradoxes, and concludes that they are isomorphic. It interprets the key operator parameter in the same logical structure of the two paradoxes as assertion operator, so the corresponding collection of statements is the most important element of the structure. Then, the article proposes corresponding solutions to the lottery paradox and the preface paradox according to the different understandings of the collection of assertions. The solution is also philosophically justified.

关 键 词：彩票悖论 序言悖论 同构 断言规范 

分 类 号：N031[自然科学总论—科学技术哲学]