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Что (кто) такое cardinal number - определение
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Cardinal number
![[[Aleph-null]], the smallest infinite cardinal](https://commons.wikimedia.org/wiki/Special:FilePath/Aleph0.svg?width=200 "[[Aleph-null]], the smallest infinite cardinal")
FINITE OR INFINITE NUMBER THAT MEASURES CARDINALITY (SIZE) OF SETS
Cardinal numbers; Cardinal arithmetic; Cardinal Number; Cardinal addition; Cardinal multiplication; Cardinal exponentiation; Cardinal (mathematics); Cardinal scale; Cardinal sum; Aleph exponentiation
In mathematics, cardinal numbers, or cardinals for short, are a generalization of the natural numbers used to measure the cardinality (size) of sets. The cardinality of a finite set is a natural number: the number of elements in the set.
cardinal number
FINITE OR INFINITE NUMBER THAT MEASURES CARDINALITY (SIZE) OF SETS
Cardinal numbers; Cardinal arithmetic; Cardinal Number; Cardinal addition; Cardinal multiplication; Cardinal exponentiation; Cardinal (mathematics); Cardinal scale; Cardinal sum; Aleph exponentiation
The cardinality of some set.
cardinal number
FINITE OR INFINITE NUMBER THAT MEASURES CARDINALITY (SIZE) OF SETS
Cardinal numbers; Cardinal arithmetic; Cardinal Number; Cardinal addition; Cardinal multiplication; Cardinal exponentiation; Cardinal (mathematics); Cardinal scale; Cardinal sum; Aleph exponentiation
(cardinal numbers)
A cardinal number is a number such as 1, 3, or 10 that tells you how many things there are in a group but not what order they are in. Compare ordinal number
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N-COUNT
cardinal number
FINITE OR INFINITE NUMBER THAT MEASURES CARDINALITY (SIZE) OF SETS
Cardinal numbers; Cardinal arithmetic; Cardinal Number; Cardinal addition; Cardinal multiplication; Cardinal exponentiation; Cardinal (mathematics); Cardinal scale; Cardinal sum; Aleph exponentiation
¦ noun a number denoting quantity (one, two, three, etc.), as opposed to an ordinal number (first, second, third, etc.).
Cardinal function
In mathematics, a cardinal function (or cardinal invariant) is a function that returns cardinal numbers.
Large cardinal
CARDINAL NUMBER IN SET THEORY NOT PROVABLE FROM ZFC
Large cardinals; Large cardinal theory; Large cardinal axiom; Large cardinal hypothesis; Large cardinal hypotheses; Large-cardinal axiom; Large-cardinal property; Large-cardinal hypothesis; Large cardinal property; Large cardinal number
In the mathematical field of set theory, a large cardinal property is a certain kind of property of transfinite cardinal numbers. Cardinals with such properties are, as the name suggests, generally very "large" (for example, bigger than the least α such that α=ωα).
Erdős cardinal
KIND OF LARGE CARDINAL NUMBER
Erdös cardinal; Erdos cardinal; Erdoes cardinal
In mathematics, an Erdős cardinal, also called a partition cardinal is a certain kind of large cardinal number introduced by .
Aurèle Cardinal
ARCHITECT, URBAN PLANNER AND ACADEMIC
Aurele Cardinal
Aurèle Cardinal is a Quebec architect, urban planner and academic. In 2007, his plan for the Outremont campus of the Université de Montréal received the award of excellence for urban design from the Canadian Institute of Planners.
Inaccessible cardinal
CARDINAL UNOBTAINIBLE FROM SMALLER CARDINALS VIA USUAL CARDINAL ARITHMETIC
Strongly inaccessible cardinal; Weakly inaccessible cardinal; Inaccessible cardinals axiom; Hyper-inaccessible cardinal; Inaccessible cardinals; Accessible cardinal; Weakly inaccessible; Strongly inaccessible
In set theory, an uncountable cardinal is inaccessible if it cannot be obtained from smaller cardinals by the usual operations of cardinal arithmetic. More precisely, a cardinal is strongly inaccessible if it is uncountable, it is not a sum of fewer than cardinals smaller than , and \alpha < \kappa implies 2^{\alpha} < \kappa.
Mahlo cardinal
INACCESSIBLE CARDINAL NUMBER 𝜅 SUCH THAT THE SET OF INACCESSIBLES LESS THAN 𝜅 IS STATIONARY IN 𝜅
N-Mahlo cardinal; Weakly Mahlo; Mahlo operation; Axiom F; Hyper-Mahlo cardinal; Weakly Mahlo cardinal; Strongly Mahlo cardinal
In mathematics, a Mahlo cardinal is a certain kind of large cardinal number. Mahlo cardinals were first described by .
