The principal question examined in this paper is the following: With respect to the linguistic coexistence of Hebrew and Arabic in Palestine, how do the State of Israel and the Palestinian Authority behave from the point of view of the politics of language? And what is at stake in their language policies? On each side, Palestinians and Israelis recognize only their own language, thereby indicating their willingness to ignore and marginalize the language of the other. In this linguistic competition, based on each party's belief that it has certain claims to assert, the politics of language functions on different dimensions, each party looking back to a different period in the past and living in a different present, though in exactly the same location.