CAJ | 학술논문

从广谱哲学的视角出发,可把变换群看成人的一种观控方式,从而把变换群、不变性与事物客观性三者联系起来;分析变换群与分类的内在联系,可引出差异与同一、共性与个性的变换群描述;运用广谱哲学的类变理论,可揭示变换群与量变质变规律、可推测与不可推测的数学机理.
종엄보철학적시각출발,가파변환군간성인적일충관공방식,종이파변환군、불변성여사물객관성삼자련계기래;분석변환군여분류적내재련계,가인출차이여동일、공성여개성적변환군묘술;운용엄보철학적류변이론,가게시변환군여량변질변규률、가추측여불가추측적수학궤리.
Based on broad-spectrum philosophy, transformation group ~s taken as a~Ju which connects transformation group with invariance and objectivity. An analysis on ingenerate connection between transformation group and classification makes expression of transformation group in terms of difference and identity, generality and individuality clear. The Class-change theory of broad-spectrum-philosophy can reveal both the relationships between transformation group and qualitative and quantitative change and the mathematical mechanism of reference and non-reference.