数学“元研究”若干概念辨析

Analysis on Several Concepts of Math“Meta-study”

数学"元研究"有几种不同的"角度"或出发点,可以依此对常见的两个数学"元研究"概念———"数学的对象"和"数学的特点"进行辨析,从而得出人们通常对这两个概念所作的不同理解的原因是分别从不同的角度出发的结论。而许多不同理解之间的争论则是由于所由之出发的角度的不同所致,本质上它们并不是互相矛盾的,甚至是一致的或者互补的。

Math “meta-study' has several different “angles' or points of view, by which we analyze the two concepts of math “meta-study'-“math object' and “math characteristic',and draw the conclusion that the reason why people usually comprehend the two concepts in different ways is from different points of view. Many disputes of different comprehensions come from the differences of points of view. Essentially they are not contradictory but consistent or complementary.