The article discusses the theory of natural language and communication established by Charles Sanders Peirce, which offers a new perspective on the debated semantics-pragmatics-interface. The author relates that Peirce approach is valuable because it emphasizes the fact that indexicals is very significant to make interacting people understand one another. The author adds that Peirce sketched classifications of linguistic indexicals and further conducted cross-linguistic analyses of them. Further, he stresses that Peirce is of huge value to linguistics because of his contribution to the theory of natural language and communication, which is radically pragmatic.