Philosophical considerations of the later Wittgenstein have provided important conceptual resources those who claim that scientific knowledge has a social dimension in nature. Kuhn's appeal to the notion of family resemblance in the support of his idea of paradigm, Bloor's and Lynch's divergent interpretations of what rule-following involves are among some of the representatives taking this approach. In view of the fact that Wittgenstein's discussions of rule-following are more basic and systematic than those of family resemblance, this paper will focus on the noted "Bloor-Lynch debate". Aided by Kusch's related discussions on this issue and by the considerations of a generic semantic analysis offered by Leslie and Cheng, this paper aims to re-evaluate the impacts brought about by the later Wittgenstein's philosophy to the inquiry concerning the nature of scientific knowledge.