History Of The Separation Axioms
In general topology, the separation axioms have had a convoluted history, with many competing meanings for the same term, and many competing terms for the same concept.
Read more about History Of The Separation Axioms: Origins, Different Definitions, Regularity Axioms, Completely Hausdorff, Urysohn, and T2½ Spaces
Famous quotes containing the words history of the, history of, history, separation and/or axioms:
“The history of the genesis or the old mythology repeats itself in the experience of every child. He too is a demon or god thrown into a particular chaos, where he strives ever to lead things from disorder into order.”
—Ralph Waldo Emerson (1803–1882)
“We know only a single science, the science of history. One can look at history from two sides and divide it into the history of nature and the history of men. However, the two sides are not to be divided off; as long as men exist the history of nature and the history of men are mutually conditioned.”
—Karl Marx (1818–1883)
“When the coherence of the parts of a stone, or even that composition of parts which renders it extended; when these familiar objects, I say, are so inexplicable, and contain circumstances so repugnant and contradictory; with what assurance can we decide concerning the origin of worlds, or trace their history from eternity to eternity?”
—David Hume (1711–1776)
“The scholar was not raised by the sacred thoughts amongst which he dwelt, but used them to selfish ends. He was a profane person, and became a showman, turning his gifts to marketable use, and not to his own sustenance and growth. It was found that the intellect could be independently developed, that is, in separation from the man, as any single organ can be invigorated, and the result was monstrous.”
—Ralph Waldo Emerson (1803–1882)
““I tell you the solemn truth that the doctrine of the Trinity is not so difficult to accept for a working proposition as any one of the axioms of physics.””
—Henry Brooks Adams (1838–1918)