The objective of this paper is to verify the extent to which the socio-cognitive approach, which has recently been used to analyse the functioning of the French complex demonstrative NPs ce N-ci and ce N-là, can be used to rethink the meaning and functioning of demonstrative NPs introduced by the demonstrative determiner ce. It is found that the meaning of the French demonstrative determiner ce still needs to be defined by the notion of token-reflexivity, but that the ideas developed within the socio-cognitive approach make it possible to complete the interpretation of demonstrative NPs, starting from the notion that the referent is to be identified on the basis of elements present in the determiner’s context of use.