Abstract:This chapter is concerned with relative sizes of sets, through the idea of functions between them. The distinctions between finite and infinite sets, and between countable sets and uncountable sets, a...This chapter is concerned with relative sizes of sets, through the idea of functions between them. The distinctions between finite and infinite sets, and between countable sets and uncountable sets, are made. Properties of countable sets are derived, and the sets ℤ and ℚ are shown to be countable. ℝ is shown to be uncountable, and properties of sets equinumerous with ℝ are derived. Two sets are said to have the same cardinal number if there is a bijection between them. Properties of the cardinal numbers ℵ and ℵ are derived.Read More
Publication Year: 1983
Publication Date: 1983-01-13
Language: en
Type: book-chapter
Indexed In: ['crossref']
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