Glossary: the infinite cardinal whose index is the ordinal α (Chapter 10, §3)
|analysis: the theory of the real numbers (Chapter 4, §1). (The adjective corresponding to ‘analysis’ is ‘analytic’. )|
|apeiron, to (Greek): the unlimited or unbounded, the infinite (Chapter 1, §1)|
|arithmetic: the theory of the natural numbers (Chapter 1, §5; see also Chapter 12, §2)|
|cardinal number (or cardinal): number which registers the size of a set (Chapter 10, §3). (An infinite cardinal registers the size of an infinite set. )|
: the set of natural numbers (Chapter 8, §3)
|countable (of a set): either finite or the smallest infinite size (Chapter 10, §3)|
Ω: the set of ordinals (Chapter 8, §4)ω: the first ordinal to succeed all the natural numbers (Chapter 8, §4)
|natural number: non-negative whole number (Introduction, §2). (The natural numbers are 0, 1, 2, …)|
|ordinal number (or ordinal): number which registers the length, or shape, of a well-ordering (Chapter 8, §4). (The ordinals are 0, 1, 2, …, ω, ω+1, …)|
|peras (Greek): limit or bound (Chapter 1, §1)|
|power-set: set of subsets of a given set (Chapter 8, §3)|
Questia, a part of Gale, Cengage Learning. www.questia.com
Book title: The Infinite.
Contributors: A. W. Moore - Author.
Place of publication: London.
Publication year: 1991.
Page number: 234.
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