反驳威廉姆森关于二值原则的论证
发布时间：2018-08-26 14:49
【摘要】：在对模糊性和连锁悖论的研究中,威廉姆森先后构造了三个论证去表明:否定二值原则将导致逻辑矛盾,亦称"荒谬"。本文论证以下两个断言:(1)在一个良好设计且能得到很好证成的三值逻辑中,否定二值原则并不会导致荒谬;(2)在威廉姆森的论证中,某些推理步骤只在二值的经典逻辑中有效,而在某些非二值逻辑中无效;那些论证使用了塔斯基的"真"去引号模式,后者本身就预设了二值原则。因此,威廉姆森的三个论证几乎是直接的循环论证:在假定二值原则之后,再证明否定二值原则将导致荒谬。本文最后列出了据以反驳威廉姆森论证的一些思想,并为它们提供了简短的证成和辩护。
[Abstract]:In the study of fuzziness and chain paradox, Williamson has constructed three arguments to show that negating the binary principle will lead to logical contradiction, also known as "absurdity". This paper demonstrates the following two assertions: (1) in a well-designed and well-proved ternary logic, the negation of the binary principle does not lead to absurdity; (2) in Williamson's argument, some reasoning steps are only valid in classical binary logic. Not in some non-binary logic; those arguments use Tasky's "true" quoted pattern, which itself presupposes the binary principle. Therefore, Williamson's three arguments are almost direct circulatory arguments: after assuming the binary principle, the negation of the binary principle will lead to absurdity. At the end of this paper, some ideas which refute Williamson's argument are listed, and brief evidences and justifications are provided for them.
【作者单位】： 北京大学哲学系;
【基金】：国家社会科学基金重点研究项目(哲学类)(12AZD072)和(12AZX008)
【分类号】：B815
本文编号：2205203
[Abstract]:In the study of fuzziness and chain paradox, Williamson has constructed three arguments to show that negating the binary principle will lead to logical contradiction, also known as "absurdity". This paper demonstrates the following two assertions: (1) in a well-designed and well-proved ternary logic, the negation of the binary principle does not lead to absurdity; (2) in Williamson's argument, some reasoning steps are only valid in classical binary logic. Not in some non-binary logic; those arguments use Tasky's "true" quoted pattern, which itself presupposes the binary principle. Therefore, Williamson's three arguments are almost direct circulatory arguments: after assuming the binary principle, the negation of the binary principle will lead to absurdity. At the end of this paper, some ideas which refute Williamson's argument are listed, and brief evidences and justifications are provided for them.
【作者单位】： 北京大学哲学系;
【基金】：国家社会科学基金重点研究项目(哲学类)(12AZD072)和(12AZX008)
【分类号】：B815
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