The purpose of this paper is, by focusing on Wittgenstein's "Private Language" argument, to demonstrate that Wittgenstein's philosophy does not approve of conformism. Philosophers of education have studied Wittgenstein's philosophy in terms of Wittgenstein' s Rule Following Considerations. According to these studies, education as initiation into a language game is that educators train learners to imitate those who follow established rules; Wittgenstein's philosophy approves of conformism. However, these studies failed to see the significance of Wittgenstein's "Private Language" argument because they have given much attention to Wittgenstein's Rule Following Considerations. His argument points out two kinds of rules: the First Person Authority and the Third Person Norm, and indicates the possibility of discrepancy between them. In dissolving the discrepancy, the First Person Authority and the Third Person Norm can alter each other gradually. This alteration suggests variability of the language games in expressing sensations. His argument clarifies the possibilities of the variability. Education as initiation into a language game is training learners not to imitate those who follow established rules, but to become members who share the varying processes of language games with others.