Black Judaism
Black Judaism is the collective term used to describe sects of Judaism predominantly practiced by the members of the African communities, both within the African Continent and outside Africa (such as North America). It is theologically characterized by the selective acceptance of the Judaic faith (in some cases such selective acceptance has historical circumstances), and that the belief system of Black Judaism is significantly different from the mainstream sects of Judaism. In addition, although Black Judaic communities adopt Judaic practices such as Jewish holidays and Jewish prayers, they are generally not recognized by the mainstream Jewish societies as legitimately Jewish.
Hashkafa
With the rise of Jewish philosophy and great Jewish thinkers, various sects of Orthodox Judaism have developed throughout history, each with their distinct hashkafa. While certain meta-principles are present in all sects—primarily the ones precisely demarcated in the Torah and Talmud, others have been the subject of much disagreement, especially those that deal with pertinent and pressing issues. Despite the vast differences between Hasidism and Modern Orthodoxy, both are still considered legitimate. The idea that there can be more than one correct understanding is deeply rooted in Jewish texts. The most well known of such statements is from the Midrash—the collection of exegesis of Torah taught by Rabbinical Sages of the post-temple era—in Bamidbar Rabbah 13:15, which explains that there are "seventy faces to Torah". This perplexing statement is generally understood to mean that the nature of the Torah's truth is multifaceted. Similarly, the Babylonian Talmud states regarding a legal debate that "these and these are the words of the living Lord"; in other words, both opinions are valid. Because no single hashkafa is believed to have a monopoly on the truth, great amount of philosophical flexibility is provided to Jewish thinkers, which results in different—sometimes even contradictory—hashkafas.