Negotiations are, by definition, between parties who have different views, not between parties who have agreed in advance, nor are they between parties where one has been served an ultimatum by the other. But straining the sense of things even more in this case, the subject of negotiations is really not supposed to be Israel's definition but Palestine's. Is Israel saying that the Palestinians must grant permission or authority for Israel's idea of itself? No, of course not, so some other purpose is implicit in this bizarre demand.
How would one define a country like Canada or the United States, countries of immense variety of ethnic, national, and religious origin, under Israel's idea? You could not. Of course, they are understood by everyone as the countries of Canadians and Americans. And just so, Israel is the country of Israelis, and nothing more, with the large majority of the world's Jews in fact living elsewhere. Moreover, what is called Israel today was the home of other people for an exceedingly long time, longer than the history of most of the world's modern states, and those people have not disappeared.
So, Israel's position is that you do not negotiate with people who refuse to parrot your definition of yourself. That is, it seems fair to say, a pretty unusual approach to negotiations. Imagine Americans refusing to negotiate with the Russians during the Cold War unless the Russian negotiators first formally recognized America as "the land of the free and home of the brave." That demand, I'm sure we can all agree, would have yielded stony silence, and just so Israel's demand. You surely make such demands only where you do not want negotiations. Israel, for public-relations reasons, always maintains an appearance of being ready to negotiate for peace, but the truth is that negotiations happen only when its benefactor-in-chief periodically decides that they should. There is no evidence beyond words that Israel wants to do so on its own initiative. Indeed, all hard evidence points in another direction.
Israel is chewing away ceaselessly in numberless small bites at what is left of Palestine, reducing it to a set of meaningless, unconnected islands in a sea of armed hostility called Israel. When Israeli officials speak pondero usly of "facts on the ground," that is what they really mean. In the end, Israel intends to solve the problems with its neighbors completely on its own terms. There already is little need, in the minds of Israel's leaders, to negotiate anything, and there will be less with each passing year. Gaza, surrounded by fences, radar-operated gun towers, tanks, its society riddled with spies, its people having no ability to go anywhere without application, permission, interrogation, and search, is the model, although Gaza, through the accident of 1948 events, is a bigger concentration of people than would be the ideal, Israel's terror campaign having created an undesirably large huddle of refugees rather causing them all to flee the territory.
Apart from the absurdity of declaring the exact definition others must employ for Israel, using the kind of national definition upon which Israel's leaders insist first requires that you define Jewish people. Why would anyone want to open that conversation? The German fascists had difficulty even defining what it was that they hated so much when they implemented their dreadful laws against Jews. Reading the details of how the German fascists determined Jewishness should be instructive for anyone suggesting this approach. Israel, too, has failed to come up with a rigorous definition, despite its need for one under the policy of all the world's Jews being able to claim Israeli citizenship and assistance in settling.
The religion of Judaism certainly cannot enter your definition because close to half of Israelis identify as non-believers, and even Israeli politicians recognize the problems of theocratic states since they constantly disparage those that do exist in the Muslim world. But this reality does not stop Israeli politicians who lobby American Christian fundamentalists for support from encouraging the conflation of modern Israel with biblical Israel and of worldly Israelis having a good time in Tel Aviv night clubs with the thundering prophets of the Old Testament. Nor does it stop them from passing many pieces of l egislation that have the oppressive character of a theocratic state in order to please Israel's extremist minority parties always required to produce a majority government.
Since only about a third of the world's people identifying as Jews live in Israel, Israel cannot even claim some exclusive relationship. Its only real connection with the diaspora is that it promises they may all claim Israeli citizenship if they wish. It is hard to imagine what Israel would do were even a large fraction of the diaspora suddenly to act on the promise, showing up on the door step, as it were, suitcases in hand. But Israel knows that will not happen. Life is too good for Jews in dozens of places to exchange it for life in Israel.
So far as a definition based on ethnicity, the task becomes more difficult, as well as unacceptable to the liberal mind since categorizing people by ethnicity has a terrible historical record, is innately unfair, and is always inaccurate. Trying to define Jews by national origin is a non-starter because Israel accepts people it identifies as Jews from any country. Realistically, since Israel ceased to exist nearly two thousand years ago, no person can be a Jew owing to national origin, any more than someone can be a Trojan or a Phoenician today.