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What (who) is counted set - definition
FICTIONAL BOOK USED AS A MOTIF BY DEAN KOONTZ
Book of Counted Sorrows; The book of counted sorrows
Countable set
![The [[Cantor pairing function]] assigns one natural number to each pair of natural numbers](https://commons.wikimedia.org/wiki/Special:FilePath/Pairing natural.svg?width=200 "The [[Cantor pairing function]] assigns one natural number to each pair of natural numbers")
SET WITH THE SAME CARDINALITY AS THE SET OF NATURAL NUMBERS
Countably infinite; Countable sets; Countable; Countably; Denumerable; Countably many; Countability; Denumerability; Countably infinite set; Denumerable Set; Denumerably Infinite; Countable space; Countable infinity; Denumerable set; Countable infinite; Countable Set; Infinitely countable; Infinitely countable set; Listable infinity
In mathematics, a set is countable if it has the same cardinality (the number of elements of the set) as some subset of the set of natural numbers N = {0, 1, 2, 3, ...}.
Set (mathematics)
![The [[natural numbers]] <math>\mathbb{N}</math> are contained in the [[integers]] <math>\mathbb{Z}</math>, which are contained in the [[rational numbers]] <math>\mathbb{Q}</math>, which are contained in the [[real numbers]] <math>\mathbb{R}</math>, which are contained in the [[complex numbers]] <math>\mathbb{C}</math>](https://commons.wikimedia.org/wiki/Special:FilePath/NumberSetinC.svg?width=200 "The [[natural numbers]] <math>\mathbb{N}</math> are contained in the [[integers]] <math>\mathbb{Z}</math>, which are contained in the [[rational numbers]] <math>\mathbb{Q}</math>, which are contained in the [[real numbers]] <math>\mathbb{R}</math>, which are contained in the [[complex numbers]] <math>\mathbb{C}</math>")
WELL-DEFINED MATHEMATICAL COLLECTION OF DISTINCT OBJECTS
Set (math); Crisp set; Conventional set; Number sets; Set (mathematical); Mathematical set; Set logic; Basic set operations; Finite subset
A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets. The set with no element is the empty set; a set with a single element is a singleton.
Hereditarily countable set
Pure countable set; Hereditarily countable
In set theory, a set is called hereditarily countable if it is a countable set of hereditarily countable sets. This inductive definition is well-founded and can be expressed in the language of first-order set theory.
Wikipedia
The Book of Counted Sorrows
The Book of Counted Sorrows and The Book of Counted Joys are fictional books "quoted" as the source of various epigraphs in many of Dean Koontz's books. The books as cited sources do not actually exist; they are false documents.
Koontz has since released a book under the same title, collecting the various epigraphs and adding additional material.
