"Vertically accumulating time", which is formulated by the philosopher K. Noe, is a view of time which considers it not as elapsing to the past and fading out, but as accumulating at the present. And indeed, it underlies some of the trends in sociology in recent years. Some sociologists such as P. Bourdieu have presupposed the view, and have brought to light the close relationship between the past and the present that had not been grasped adequately until then. However, they have not sufficiently inquired into the future in this view of time. On the above-mentioned background, this paper considers how the future in "vertically accumulating time" can be described. For this purpose, we refer to the study of time by A. Schutz who is one of the originators of the view of time in sociology. Schutz has described the future on the basis of the typified knowledge consisting of the sedimentation of past experiences. So far as it is concerned, description of the future in Schutz overlaps E. Husserl's and Bourdieu's view of the future as "a mode of already-known". On the other hand, however, if we take account of Schutz's insight of "what it is unknown", and his concept of "novel experience", we can find in his theory not only "the future as a mode of already-known", but also "the future as not-known (nicht-wissen)". Through this study, some possibilities of further development of "vertically accumulating time" in sociology are suggested.

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M. Halbwachs defines memory as a current of continuous time under the influence of Bergson's concept of "duree". This definition means that the reality of the past depends on the consciousness of duration. Bergson thinks that language and space contaminate "duree". However, Bergson's concept of language and space is so limited that he can't explain how the consciousness of duration is formed. This paper refers to the studies of time by K. Noe and M. Halbwachs and examines how the consciousness of duration is supported by language and space. K. Noe formulates the concept of "narrative" as acts of language making internal relationships between the past and the present. M. Halbwachs formulates the concept of "milieu" as the spatiality which enables us to have an illusion that we can discover the past in the present. The main purpose of this paper is to show a close relationship between time and space by considering Halbwachs' concept of "milieu" and to explain the importance of "milieu" in the theory of memory.

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