悖论的自指性与循环性 |
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引用本文: | 熊明. 悖论的自指性与循环性[J]. 逻辑学研究, 2014, 0(2): 1-19 |
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作者姓名: | 熊明 |
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作者单位: | 华南师范大学政治与行政学院 |
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基金项目: | 国家社会科学基金青年项目“哲学逻辑视角下的真理论研究”(10CZX036). |
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摘 要: | 本文使用语义网分析悖论与自指性和循环性。主要结论是证明了有穷悖论都是自指的,同时其矛盾性必定基于循环性。我们还证明存在非自指但基于循环性的(无穷)悖论,比如亚布鲁悖论及其一般变形;又证明了存在自指但不基于循环性的(无穷)悖论,比如超穷赫兹伯格悖论和麦基悖论。这表明自指性与循环性对悖论而言是两个不同的概念。
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关 键 词: | 悖论 框架 循环性 语义网 自指性 |
Self-reference and Circularity of Paradoxes |
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Affiliation: | Ming Hsiung( School of Politics and Administration, South China Normal University) |
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Abstract: | In the present paper, the sentence nets are used to determine the self-reference and circularity of paradoxes. The main result is that all finite paradoxes must be self-referential and they are also circularity-dependent in the sense that their paradoxicality is based upon some certain circularity. We also prove that there are non-self-referential but circularity-dependent (infinite) paradoxes, such as Yablo’s paradox and its variants;and there are also non-circularity-dependent but self-referential (infinite) paradoxes, such as the transfinite Herzberger’s paradoxes and McGee’s paradox. It suggests that the self-reference and the circularity are two different conceptions with respect to the paradoxes. |
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