FTP identify this philosophical view which in the weak sense privileges the first person and in the strong sense argues "I am the only mind that exists."
Thomas Nagel is said to have proposed an "empathetic" version of this philosophical position.  J.S. Mill tried to refute it with The Argument from Analogy, while Descartes, whose hyperbolic skepticism brought it to the fore, only escaped it with an appeal to God's benevolence.  Intricately tied to the Problem of Other Minds, Wittgenstein argued that it is an incoherent view because it requires language.  This in turn makes necessary the intersubjective sphere which it rejects.  FTP identify this philosophical view which in the weak sense privileges the first person and in the strong sense argues "I am the only mind that exists."
Thomas Nagel is said to have proposed an "empathetic" version of this philosophical position.  
Solipsism