Abstract
Wittgenstein's private language arguments not only exemplify his radicalism, they also instantiate an equally profound principle of investigation in philosophy. In the course of the private language arguments, Wittgenstein shows that private ownership of experience is a confusion, that epistemic privacy is an illusion, and that there is no such thing as private ostensive definition. The consequences of Wittgenstein's investigations into the issues associated with a private language are far reaching, both for philosophy, and for the natural sciences. Within philosophy, his arguments and conclusions have a direct bearing on the venerable controversy concerning primary and secondary qualities. Philosophical, theoretical and cognitive scientific investigations into natural languages and human speech are likewise affected by Wittgenstein's private language arguments. In short, the argument concerning private ostensive definition is neither a form of verificationism, nor a form of behaviourism.