Jewish religious practice, by definition, was observed exclusively by the Jewish people, and notions of Jewish peoplehood, nation, and community were suffused with faith in the Jewish God, the practice of Jewish (religious) law and the study of ancient religious texts
Jew, any person whose religion is Judaism. In a broader sense of the term, a Jew is any person belonging to the worldwide group that constitutes, through descent or conversion, a continuation of the ancient Jewish people, who were themselves descendants of the Hebrews of the Bible (Old Testament).
Jewish people worship in holy places known as synagogues, and their spiritual leaders are called rabbis. The six-pointed Star of David is the symbol of Judaism.
From this, we infer that the child of a non-Jewish male spouse is Jewish (and can therefore be turned away from Judaism), but the child of a non-Jewish female spouse is not Jewish (and therefore turning away is not an issue).
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Official homepage for worldwide Chabad-Lubavitch movement that promotes Judaism and provides daily Torah lectures and Jewish insights. Chabad-Lubavitch is a philosophy, a movement, and an organization.
Also, Reform Judaism stresses the importance of being raised Jewish; if a child is born to Jewish parents and was not raised Jewish then the child is not considered Jewish.
Or a single state with a Jewish identity—one that prioritizes Jewish holidays and the Hebrew language, perhaps, but protects equal rights regardless of religion or ethnic background.