For this reason, in constructive topology especially, the apartness relation over a set is often taken as primitive, and equality is a defined relation.
22.
They can compensate for that apartness with scholarships and good works but never fully bridge the gap from what America, in its Jeffersonian ideal, is supposed to be.
23.
The inherent perils of ethnic apartness are underlined in the present fight over whether a non-Jew should be made director of the Jewish Studies program at Queens College.
24.
The Nationalists labelled this new system of social organisation " apartheid " ( " apartness " or " separation " ), the name by which it became universally known.
25.
One of the topics to be discussed at the section is the efficiency of democratic institutions and practices against challenges of illegal migration, ethnic apartness, separatism, and fundamentalism.
26.
The title is at once matter-of-fact and mournful, referring not just to the dislocation of the Palestinian diaspora but also a sense of personal and ideological apartness.
27.
The prototypical apartness relation is that of the real numbers : two real numbers are said to be apart if there exists ( one can construct ) a rational number between them.
28.
Furthermore, while near to major historical players, John's apartness from power allows Heyer to create a fuller depiction of his life without having to change major historical events.
29.
But plenty of younger Swiss, especially in French-speaking parts like Geneva, regret the sense of aloofness and apartness, from fellow Europeans in particular, that they feel it brings.
30.
The complex numbers, real vector spaces, and indeed any metric space then naturally inherit the apartness relation of the real numbers, even though they do not come equipped with any natural ordering.
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