Question

"Double consciousness"

"Separate but equal"

where the related from and what they mean

Answer 1

-Double consciousness is a term describing the internal conflict experienced by subordinated groups in an oppressive society.
It is a peculiar sensation, this double-consciousness, this sense of always looking at one's self through the eyes of others, of measuring one's soul by the tape of a world that looks on in amused contempt and pity. One ever feels his two-ness,—an American, a Negro; two souls, two thoughts, two unreconciled strivings; two warring ideals in one dark body, whose dogged strength alone keeps it from being torn asunder.
The history of the American Negro is the history of this strife – this longing to attain self-conscious manhood, to merge his double self into a better and truer self. In this merging he wishes neither of the older selves to be lost. He does not wish to Africanize America, for America has too much to teach the world and Africa. He wouldn't bleach his Negro blood in a flood of white Americanism, for he knows that Negro blood has a message for the world. He simply wishes to make it possible for a man to be both a Negro and an American without being cursed and spit upon by his fellows, without having the doors of opportunity closed roughly in his face.

-Separate but equal was a legal doctrine in United States constitutional law, according to which racial segregation did not necessarily violate the Fourteenth Amendment to the United States Constitution, which guaranteed "equal protection" under the law to all people. Under the doctrine, as long as the facilities provided to each race were equal, state and local governments could require that services, facilities, public accommodations, housing, medical care, education, employment, and transportation be segregated by "race", which was already the case throughout the states of the former Confederacy. The phrase was derived from a Louisiana law of 1890, although the law actually used the phrase "equal but separate.