“中和”范式·“阴阳两仪”·“一两”思维——中国美学精神的思维文化探源

中国美学以“中和”为最高境界和理论范式,乃源于独特而深厚的民族思维文化。其一,“中和”范式以审美矛盾因素的两面、两极、两端……(即“两”)为基本架构,这正贯彻了中国传统以“物生有两”观念为基点的“耦两”型或以《易》为范本的“阴阳两仪”型思维模式。其二,中国传统“耦两”思维同西方近代的主客二元思维根本不同,其本质差异就在于“耦两”思维不脱离“一”的根本原则,关注的是“一两”关系。立“两”最终是为了明“一”。其三,“两”所济所明的“一”实质上就是“中”。“中”同“美是和谐”的古典美学理念相结合,就形成了“中和”这一中国特色的美学范式。

Category of Generalized Intuitionistic Fuzzy Sets

In this paper, category GIFS of generalized intuitionistic fuzzy sets(GIF) is built up. Topoi properties of category GIFS are studied. Firstly, it is proved that the category GIFS has all topoi properties except that it has no subobject classifiers, Secondly, it is proved that the category GIFS has middle object and consequently GIFS is a weak topos. Thirdly, by the use of theory of weak topos GIFS, the power object of an object in GIFS is studied.

Quantum Groups by Ore Extensions Associated withGroup Algebras

As a continuation of the work of Beattie on quantum groups constructed byOre extensions, in this paper, we characterize their centre and discuss the category ofquantum Yang-Baxter modules over them. In addition, we determine all finite dimen-sional irreducible representations over these quantum groups.

On indecomposable modules over the Virasoro algebra

It is proved that an indecomposable Harish- Chandra module over the Virasoro algebra must be (i) a uniformly bounded module, or (ii) a module in Category $O$ , or (iii) a module in Category $O$ , or ( iv) a module which contains the trivial module as one of its composition factors.