2011Birkhäuser Boston eBooksRequires access

Countable and Uncountable Sets

Rinaldo B. Schinazi

Open publisher page 3 citations

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.

About this research paper

What this paper is about

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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OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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.

Key concepts: Uncountable set, Cardinality (data modeling), Countable set, Cardinal number (linguistics), Set (abstract data type), Rational number, Infinite set, Mathematics

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