Social constructivism overcomes this problem through the interpersonal negotiation of meanings to achieve a ‘fit’. Support for this position, if not the precise form of argument, is widespread. Wittgenstein (1953) first answered the problem, arguing that private languages cannot exist. A number of philosophers commenting on is work, such as Kenny (1973) and Bloor (1983), support the rejection of private languages, as do others including Ayer (1956) and Quine (1960). With regard to mathematics, the private language problem is also considered soluble, for example by Tymoczko (1985) and Lerman (1989),both arguing from a position close to social constructivism.
The solution of the private language problem by social constructivism reflects a substantial body of philosophical opinion. Genrally , it is argued that the shared rules and ‘objective pull’ of inter-personal language use makes it public, consistent with social constructivism.