This study aims to survey the Kitcher's empirical philosophy on mathematics regarded basic theory of current educational insist to improve mathematics education. Kitcher criticized the Apriorism that has been the traditional mathematical philosophy. H...
This study aims to survey the Kitcher's empirical philosophy on mathematics regarded basic theory of current educational insist to improve mathematics education. Kitcher criticized the Apriorism that has been the traditional mathematical philosophy. He suggested that the system of mathematical knowledge follows the rational process', and analyzed the patterns of mathematical change into following five steps and dealt with typical problems of each step.: Question-Answering Question-Generation, Generalization, Rigorization. Systematization. In this paper, we investigate how his theory is applied to the history of Analysis.