It is one of the major topics that straddle between linguistics and philosophy how to give an adequate semantic account of proper names. In this paper, I will examine one prominent attempt at such an account by Professor Jaeyeon Bak that, at first blush, looks to hold some promise. What I will first do is to reveal that Professor Bak`s criticism of the view that proper names have single unique referents stems from an unredeemable misunderstanding of the interplay between linguistic expressions and contexts of use. I will then turn to her own positive proposal about proper names and argue that it is wrong on two counts. First, the assumption that proper names are invariably introduced by `naming ceremonies`, which is one of the cornerstones of Professor Bak`s proposal, must go. Second, the proposal, when properly clarified, involves a conceptual self-contradiction as regards the social character of language. I do not believe that the failure of Professor Bak`s proposal is due to some minor oversights on her part. But I instead believe that this is a sign of its basic approach to proper names being off-base, which I hope to establish elsewhere.