The Handling of Loops in Talmudic Logic, with Application to Odd and Even Loops in Argumentation

HOWARD-60 Pub Date : 1900-01-01 DOI:10.29007/gkg6
M. Abraham, D. Gabbay, U. Schild
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引用次数: 11

Abstract

The Talmud is a body of arguments and discussions about all aspects of the human agent’s social, legal and religious life. It was completed over 1500 years ago and its argumentation and debates contain many logical principles and examples very much relevant to today’s research in logic, artificial intelligence, law and argumentation. In a series of books on Talmudic Logic, the authors have studied the logical prinicples involved in the Talmud, one by one, devoting a volume to each major principle We have just finished writing Volume 5, entitled Resolution of Conflicts and Normative Loops in the Talmud, and the present paper describes how the Talmud deals with even and odd loops and compares the results with open issues in argumentation. For other English papers corresponding to previous books, see [1, 2, 3, 4, 5, 6]. We start by looking at two typical loops, as in Figures 1 and 2.
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塔木德逻辑中循环的处理及其在论证中的奇、偶循环的应用
《塔木德》是一本关于人类社会、法律和宗教生活各个方面的争论和讨论的书。它完成于1500多年前,它的论证和辩论包含了许多逻辑原理和例子,与今天在逻辑、人工智能、法律和论证方面的研究非常相关。在一系列关于塔木德逻辑的书中,作者们研究了塔木德中涉及的逻辑原则,一个接一个,每一个主要原则都花了一卷。我们刚刚完成了第五卷的写作,题为《塔木德冲突和规范循环的解决》,本论文描述了塔木德如何处理偶数和奇数循环,并将结果与论证中的开放问题进行了比较。其他与前几本书相对应的英文论文见[1,2,3,4,5,6]。我们首先看两个典型的循环,如图1和图2所示。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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