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set of real numbers : In set theory, specifically descriptive set theory the Baire space is used as a surrogate for the real numbers ..... More from Wikipedia
Real Numbers
Real Numbers - The union of the set of rational numbers and irrational numbers forms the set of real numbers. Q = {rational numbers} = {irrational numbers} Then = R = {real numbers..
Real Numbers - The union of the set of rational numbers and irrational numbers forms the set of real numbers. Q = {rational numbers} = {irrational numbers} Then = R = {real numbers.. We present Cantors sleek and simple diagonal argument proof (originally 1874; refined to this version in 1891) that the infinite set of Real Numbers (all the rational and irrational numbers together) has a strictly greater cardinality (number of elements) than the infinite set of Natural Numbers (1, 2, 3, ).
Brief description of the set of real numbers and its subsets: naturals, wholes, integers, rationals, and irrationals.
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