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In mathematics, an uncountable set is an infinite set which is too big to be countable. The uncountability of a set is closely related to its cardinal number: a set is uncountable ... http://en.wikipedia.org/wiki/UncountableDefinition from Wiktionary, a free dictionary http://en.wiktionary.org/wiki/uncountable_setThe last section raises the question whether it is at all possible to have sets that contain more than countably many elements. After all, the examples of infinite sets we ... http://pirate.shu.edu/projects/reals/infinity/uncntble.html ... An uncountable set. Cantor's original proof considers an infinite sequence of the form (x 1, x 2, x 3, ...) where each element x i is either 0 or 1. Consider any infinite listing of some ... http://en.wikipedia.org/wiki/Cantor%27s_diagonal_argumentThis page is http://www.math.uic.edu/~lewis/las100/uncount.html Main Questions: What is a countable set? What is an uncountable set? Are the real numbers a countable set? http://www.math.uic.edu/~lewis/las100/uncount.html |
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