Reconstruction of Logic of Soku (Ji): East Asian Developments of Analytic Asian Philosophy

本项目以目标研究区域为研究对象；(1)华严哲学背景下无限多的特定事物之间的“搜”关系中的逻辑结构；(2)东亚空性哲学背景下有限的普遍概念之间的“搜”关系中的逻辑结构。并结合当代非经典逻辑对这些传统哲学原理进行了分析。更具体地说，法桑等人用十个硬币或数字作为传统比喻，将华言的索库关系解释为“偶发身份”，并根据当代可能世界语义系统（称为“偶发身份系统”）进行阐述。至于空性哲学背景下的素库关系，该项目主要关注京都学派哲学家西谷敬二的最新哲学思想之一，特别是他的“圆周”关系思想。这种关系中的逻辑结构被认为是两个对立概念之间的双重矛盾，如主体与客体，精神与肉体，等等。然后运用当代三值语义的副协调系统来表述西谷的双重矛盾思想。这种非经典逻辑系统的一个特点是，它具有第三真值，在否定的情况下，第三真值作为一个常规真值函数是不变的。换句话说，这个系统有一个真值，它是一个不动的否定点。因此，该项目得出结论，东亚空虚哲学的一个方面的特征可以被真理价值作为一个固定的谈判点所捕捉。这些成果在项目期间发表了8篇学术论文和9篇学术报告。八篇论文中有六篇是用英文写的，并发表在该领域的顶级期刊上。这9次演讲中有8次是在海外进行的。

This project took as its target resarch area; i.e., logic of Soku (Ji), (1) logical sructures in Soku relation among inifinitely many particular things in the context of Hua yen phiosophy, and (2) those in Soku relation among finite universal concepts in the context of East Asian philosophy of emptiness. And these traditional philosophical doctorines were analyzed in the light of contemporary non-classical logic.More specifically, the Soku relation of Hua yen framed in a traditional metaphor of ten coins or numbers explorated by Fatsang and others was interpreted as ‘contingnet identity’ and formulated in terms of a contemporary system of possible worlds semantics, called ‘contingent identity system’.As for the Soku relation in the context of philosophy of emptiness, this project was focused on one of the latest philosophical ideas of Keiji Nishitani, a Kyoto school philosopher, and especially his idea of ‘circumincessimal’ relation. The logical structure in the relation was taken to be a double contradicition between two dichotomously opposing concepts such as subject vs. object, the mental vs. the phycisal and so on so forth. Then a contemporary paraconsistent system with three valued semantics was applied to formulate Nishitani’s ideas including the double contradictions. A characteristcs of this non-classical logical system is that it has the third truth value that is unchanged under the negation as an utinary truth fanction. In other words, that system has a truth values that is a fixed point of negation. Therefore the project reached its conclusion that the characteristics of an aspect of East Asian philosophy of emptiness can be captureed by the truth value as a fixed point of negtaion.Those results were publicized in eight academic papers and nine academic presentations during the period of project. Six of the eight papers were written in Engliish and published in a top journal of the field. Eight of those nine presentations were made in overseas.