3. Blown‐ups: a leap from specified local confusions to a general whole evolution

In this paper, we will derive new understandings of some of the problems of mathematics and physics dealt with in the introduction of the concept of blown‐ups and the study of related traditional thinking logic and establishment of mathematical models. The concept of blown‐ups not only explains clearly the mystery of nonlinearity, but also suggests a change to our traditional way of thinking. Blown‐ups embody a leap from specified local confusions to a general whole evolution.