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

本项目将其作为目标研究领域，即，（1）华严哲学背景下的有限多个特殊事物之间的“数”关系的逻辑结构;（2）东亚空性哲学背景下的有限普遍概念之间的“数”关系的逻辑结构。这些传统的哲学理论被运用到当代非经典逻辑中进行分析，具体地说，在法桑等人所探索的十个硬币或数字的传统隐喻中所构建的华严宗的索古关系被解释为“偶然同一性”，并被表述为当代可能世界语义学系统，关于空性哲学背景下的Soku关系，本项目聚焦于京都学派哲学家西谷圭司的最新哲学思想之一，尤其是他的“循环”关系这种关系的逻辑结构被认为是两个对立的概念之间的双重矛盾，如主体与客体，心理与生理等。然后，运用当代的三值语义学的次协调系统来表述西谷的包含双重矛盾的思想。这一非经典逻辑系统的一个特点是它作为一个真函数具有在否定下不变的第三真值。换句话说，这个系统有一个真值，它是一个固定的否定点。因此，该项目得出结论，东亚空性哲学的一个方面的特点可以通过真理价值作为一个固定点来捕捉。这些结果在项目期间发表在8篇学术论文和9篇学术报告中。八篇论文中有六篇是用英语写的，并发表在该领域的顶级期刊上。在这9次介绍中，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.