History of The Separation Axioms/completely Hausdorff Urysohn and T2%C2%BD Spaces

Famous quotes containing the words history of the, history of, history, separation, axioms, completely and/or spaces:

    Three million of such stones would be needed before the work was done. Three million stones of an average weight of 5,000 pounds, every stone cut precisely to fit into its destined place in the great pyramid. From the quarries they pulled the stones across the desert to the banks of the Nile. Never in the history of the world had so great a task been performed. Their faith gave them strength, and their joy gave them song.
    William Faulkner (1897–1962)

    I assure you that in our next class we will concern ourselves solely with the history of Egypt, and not with the more lurid and non-curricular subject of living mummies.
    Griffin Jay, and Reginald LeBorg. Prof. Norman (Frank Reicher)

    History does nothing; it does not possess immense riches, it does not fight battles. It is men, real, living, who do all this.... It is not “history” which uses men as a means of achieving—as if it were an individual person—its own ends. History is nothing but the activity of men in pursuit of their ends.
    Karl Marx (1818–1883)

    Last evening attended Croghan Lodge International Order of Odd Fellows. Election of officers. Chosen Noble Grand. These social organizations have a number of good results. All who attend are educated in self-government. This in a marked way. They bind society together. The well-to-do and the poor should be brought together as much as possible. The separation into classes—castes—is our danger. It is the danger of all civilizations.
    Rutherford Birchard Hayes (1822–1893)

    The axioms of physics translate the laws of ethics. Thus, “the whole is greater than its part;” “reaction is equal to action;” “the smallest weight may be made to lift the greatest, the difference of weight being compensated by time;” and many the like propositions, which have an ethical as well as physical sense. These propositions have a much more extensive and universal sense when applied to human life, than when confined to technical use.
    Ralph Waldo Emerson (1803–1882)

    Ideals possess the strange quality that if they were completely realized they would turn into nonsense. One could easily follow a commandment such as “Thou shalt not kill” to the point of dying of starvation; and I might establish the formula that for the proper functioning of the mesh of our ideals, as in the case of a strainer, the holes are just as important as the mesh.
    Robert Musil (1880–1942)

    Though there were numerous vessels at this great distance in the horizon on every side, yet the vast spaces between them, like the spaces between the stars,—far as they were distant from us, so were they from one another,—nay, some were twice as far from each other as from us,—impressed us with a sense of the immensity of the ocean, the “unfruitful ocean,” as it has been called, and we could see what proportion man and his works bear to the globe.
    Henry David Thoreau (1817–1862)