芝诺悖论与秃头悖论比较研究  

Comparative Study on Zeno's Paradox and the Blad Man Paradox

作　　者：王习胜[1] 

机构地区：[1]皖西学院政法系,安徽六安237012

出　　处：《徐州师范大学学报（哲学社会科学版）》2009年第2期108-112,共5页Journal of Xuzhou Normal University(Philosophy and Social Sciences Edition)

基　　金：教育部人文社会科学研究规划项目"广义逻辑悖论方法论与科学理论创新研究"(项目批准号:06JA720022);安徽省教育厅人文社会科学研究项目"逻辑悖论的应用研究"(项目批准号:2008sk266)成果之一

摘　　要：古希腊时代产生的芝诺悖论和秃头悖论,引发了哲学、逻辑、数学和物理等领域的学者们广泛而持久的讨论。学界对这两个悖论的研究往往是分开进行的,对它们之间的内在关联并未给予充分的关注。芝诺悖论旨在拒斥"动",秃头悖论意在否证"多",两者的共同旨归是要论证本体"be ing"的"静"和"一"的本质。这两个悖论所涉及的认知对象之潜无限和实无限的问题,至今仍是学界研究的难题。它们还同时涉及数学归纳法的合理性问题,即对认知对象的"质"进行归纳的方法能否适用于对"量"的归纳。以逻辑悖论的语用学性质重新审视这两个古老悖论,并作贯通研究,对于推进当代哲学认识论特别是对潜无限和实无限问题的认识,乃至于推动具体科学理论创新都具有重要的认知价值。Zeno＇ s paradox and blad man paradox, stemming from ancient Greece, have raised a universal and persistent controversy in range of philosophy, logic, mathematics and physics etc. While the research on them tends to be carried out respectively rather than pay more attention to their inner relationship. Zeno＇ s paradox negates its ‘move＇ and the blad man paradox refuses its ‘much＇. It is the common aim of both paradoxes for proving us the essence of ‘motionless＇ and ‘alone＇ of the noumenal ‘being＇. The question on potential infinity and actual infinity in the objective of cognition, involved by the two paradoxes, is still a challenge in academic community. Meanwhile, the two also involves in the rationality of mathematical induction, namely whether the means to induce the fundament in the objective of cognition can be applied to the induction of quantity. Thus, the study connecting the two and the review in terms of the property of pragmaties of logical paradoxes will help furthering the modern philosophical epistemology, especially the knowledge of potential infinity and actual infinity, and even the creation of specific scientific theories.

关 键 词：芝诺悖论 秃头悖论 潜无限 实无限 数学归纳法 

分 类 号：B81-05[哲学宗教—逻辑学]