I’m going to present a new idea about how to find the right place for the indexical and demonstrative expressions in Gottlob Frege’s semantics. My main thesis is: that it is possible to find such interpretation of Frege’s view on indexicals and demonstratives which is entirely “fregean” and is not vulnerable to the counterexamples given by Kaplan and Perry. According to the interpretation I propose, these expressions are functional and they denote first-level functions defined on objects. These functional expressions taken (...) together with an object form a hybrid proper name. (shrink)