cardinal number, or cardinal for short, is what is commonly called the number of elements of a set. In the case of a finite set, its cardinal number,... 26 KB (3,808 words) - 01:08, 27 April 2024 |
into Cardinal and Ordinal Numbers (1958, 2nd ed. 1965). Any finite natural number can be used in at least two ways: as an ordinal and as a cardinal. Cardinal... 10 KB (1,230 words) - 01:40, 24 March 2024 |
In mathematics, the cardinality of a set is a measure of the number of elements of the set. For example, the set A = { 2 , 4 , 6 } {\displaystyle A=\{2... 22 KB (2,778 words) - 03:51, 9 April 2024 |
linguistics, and more precisely in traditional grammar, a cardinal numeral (or cardinal number word) is a part of speech used to count. Examples in English... 2 KB (162 words) - 16:50, 21 April 2024 |
Look up Cardinal or cardinal in Wiktionary, the free dictionary. Cardinal or The Cardinal may refer to: Cardinalidae, a family of North and South American... 6 KB (698 words) - 01:28, 27 January 2024 |
Continuing in this manner, it is possible to define a cardinal number ℵα for every ordinal number α, as described below. The concept and notation are due... 16 KB (1,953 words) - 21:09, 23 April 2024 |
(five) is a number, numeral and digit. It is the natural number, and cardinal number, following 4 and preceding 6, and is a prime number. It has garnered... 97 KB (12,152 words) - 23:09, 24 April 2024 |
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... 10 KB (1,324 words) - 00:02, 8 April 2024 |
In mathematics, a Mahlo cardinal is a certain kind of large cardinal number. Mahlo cardinals were first described by Paul Mahlo (1911, 1912, 1913). As... 14 KB (2,292 words) - 00:25, 24 December 2023 |
cardinal is inaccessible if it cannot be obtained from smaller cardinals by the usual operations of cardinal arithmetic. More precisely, a cardinal κ... 16 KB (2,216 words) - 21:04, 17 March 2024 |
(often used in combination with a cardinal number, e.g. fourscore to mean 80), but also often used as an indefinite number (e.g. the newspaper headline "Scores... 15 KB (1,696 words) - 19:51, 23 April 2024 |
weakly compact cardinal is a certain kind of cardinal number introduced by Erdős & Tarski (1961); weakly compact cardinals are large cardinals, meaning that... 7 KB (925 words) - 08:19, 19 January 2024 |
\mathbb {R} } , sometimes called the continuum. It is an infinite cardinal number and is denoted by c {\displaystyle {\mathfrak {c}}} (lowercase Fraktur... 16 KB (2,375 words) - 21:06, 30 March 2024 |
place of a given work within a music catalogue, the opus number is paired with a cardinal number; for example, Beethoven's Piano Sonata No. 14 in C-sharp... 13 KB (1,752 words) - 15:27, 13 April 2024 |
itself. The total number of cardinals from 1099 to 1986 has been about 2,900 (excluding possible undocumented 12th-century cardinals and pseudocardinals... 32 KB (3,617 words) - 11:10, 15 March 2024 |
particularly in set theory, the beth numbers are a certain sequence of infinite cardinal numbers (also known as transfinite numbers), conventionally written ℶ 0... 10 KB (1,522 words) - 21:28, 11 March 2024 |
measurable cardinal is a certain kind of large cardinal number. In order to define the concept, one introduces a two-valued measure on a cardinal κ, or more... 15 KB (1,775 words) - 21:08, 23 April 2024 |
The four cardinal directions, or cardinal points, are the four main compass directions: north, south, east, and west, commonly denoted by their initials... 27 KB (2,939 words) - 19:01, 15 April 2024 |
cardinal is a cardinal number that is equal to its own cofinality. More explicitly, this means that κ {\displaystyle \kappa } is a regular cardinal if... 9 KB (1,409 words) - 02:08, 5 September 2023 |
However, the cardinal number of α is still a minimal cardinal not less than or equal to the cardinality of X. (If we restrict to cardinal numbers of well-orderable... 5 KB (665 words) - 06:50, 4 March 2024 |
8 (redirect from The number 8) yielded Tibetan brgyat. It has been argued that, as the cardinal number 7 is the highest number of items that can universally be cognitively processed... 75 KB (8,078 words) - 10:48, 25 April 2024 |
1 (redirect from 1 (the number)) (meaning "one, unique"). Linguistically, one is a cardinal number used for counting and expressing the number of items in a collection of things. One is commonly... 34 KB (3,552 words) - 11:45, 2 April 2024 |
In mathematics, a Ramsey cardinal is a certain kind of large cardinal number introduced by Erdős & Hajnal (1962) and named after Frank P. Ramsey, whose... 4 KB (561 words) - 04:58, 11 April 2024 |
the existence of cardinals with the given property. Existence of a cardinal number κ of a given type implies the existence of cardinals of most of the types... 6 KB (504 words) - 07:06, 14 February 2024 |
feminine given name, which means "second cardinal number" and "splendid". It comes from the Arabic cardinal number for second in feminine form ثانية and... 2 KB (131 words) - 06:04, 13 September 2023 |