Abstract: Theproblem of the cognitive representation is a fundamental and frontier topics in the study of philosophy of cognitive science. In the development of cognitive science, there appeared the view of the digital computation-representation of the mind, computation-representation of the mental connectionism, non-computation-representation of the radical embodied cognition and computation-representation of the wean embodied cognition. These views account for the human cognition from different aspects,which have both the rationality and the deficiency. So, we should not take the completely negative attitude of that kind of "either/or" to look at them; on the contrary, we should take the integrated pluralism research methods of the "both/and" to analyze them. This has the important theoretical and practical significance to the development of current philosophy of cognitive science.