Countable and Uncountable Sets
Rinaldo B. Schinazi
Abstract
Rinaldo B. Schinazi
Abstract
We have already come across several infinite sets: N the set of naturals, Z the set of integers, Q the set of rationals, and R the set of reals. It turns out that, in some sense to be made precise, the first three sets may be said to have the same cardinality, while the last one has a strictly larger cardinality. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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We have already come across several infinite sets: N the set of naturals, Z the set of integers, Q the set of rationals, and R the set of reals. It turns out that, in some sense to be made precise, the first three sets may be said to have the same cardinality, while the last one has a strictly larger cardinality. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Key concepts: Uncountable set, Cardinality (data modeling), Countable set, Cardinal number (linguistics), Set (abstract data type), Rational number, Infinite set, Mathematics