Countably Infinite Set

Famous quotes containing the words infinite and/or set:

“What means the fact—which is so common, so universal—that some soul that has lost all hope for itself can inspire in another listening soul an infinite confidence in it, even while it is expressing its despair?”
—Henry David Thoreau (1817–1862)

“No annual training or muster of soldiery, no celebration with its scarfs and banners, could import into the town a hundredth part of the annual splendor of our October. We have only to set the trees, or let them stand, and Nature will find the colored drapery,—flags of all her nations, some of whose private signals hardly the botanist can read,—while we walk under the triumphal arches of the elms.”
—Henry David Thoreau (1817–1862)