In recent years, we have been looking for a non-consequent self. It is generally said that the plural self is non-consequent. Have we already transcended the consequent self by means of the plural self? This paper argues that the plural self is constituted by many consequent identities, and in contrast the indeterminate self is not consequent. This is because the plural self can anticipate the future self while the indeterminate self can not. According to Bergson and Halbwachs, the difference between these selves is explained by the time: durée and cadre temporel. Time creates a unique memories. Thus, it does not lead to the comprehension of a non-consequent self yet.