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- a regular cardinal is a cardinal number that is equal to its own cofinality. More explicitly, this means that κ {\displaystyle \kappa } is a regular cardinal...9 KB (1,419 words) - 23:38, 5 August 2024
- uncountable cardinal is weakly inaccessible if it is a regular weak limit cardinal. It is strongly inaccessible, or just inaccessible, if it is a regular strong...16 KB (2,223 words) - 07:35, 21 August 2024
- sets Partition regularity Regular cardinal, a cardinal number that is equal to its cofinality Regular modal logic Regular conditional probability, a...7 KB (965 words) - 13:40, 27 July 2024
- a 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
- Mahlo cardinal", though the cardinals originally considered by Mahlo were weakly Mahlo cardinals. If κ is a limit ordinal and the set of regular ordinals...14 KB (2,328 words) - 05:18, 21 June 2024
- mathematics, a remarkable cardinal is a certain kind of large cardinal number. A cardinal κ is called remarkable if for all regular cardinals θ > κ, there exist...2 KB (251 words) - 06:27, 4 March 2024
- operators are allowed to take infinitely many operands. The logic on a regular cardinal κ is defined by requiring the number of operands for each operator...3 KB (395 words) - 04:03, 1 August 2024
- Aleph number (category Cardinal numbers)theory, the aleph numbers are a sequence of numbers used to represent the cardinality (or size) of infinite sets that can be well-ordered. They were introduced...16 KB (1,960 words) - 12:52, 27 August 2024
- successor cardinal or a limit cardinal, and either a regular cardinal or a singular cardinal. A great many sets studied in mathematics have cardinality equal...16 KB (2,373 words) - 14:10, 10 July 2024
- interval of regular cardinals (i.e., A is the set of all regular cardinals between two cardinals), then pcf(A) is also an interval of regular cardinals and |pcf(A)|<|A|+4...5 KB (768 words) - 09:50, 18 August 2023
- Easton's theorem (category Cardinal numbers)that the only constraints on permissible values for 2κ when κ is a regular cardinal are κ < cf ( 2 κ ) {\displaystyle \kappa <\operatorname {cf} (2^{\kappa...3 KB (423 words) - 13:40, 14 July 2024
- Zero sharp (category Large cardinals)\omega _{2}} is a regular cardinal. If 0 ♯ {\displaystyle 0^{\sharp }} does not exist, it also follows that the singular cardinals hypothesis holds.p...11 KB (1,677 words) - 08:45, 6 August 2024
- zero Lebesgue (or other) measure Singular cardinal, an infinite cardinal number that is not a regular cardinal Singular point of a curve, in geometry Singularity...1,019 bytes (169 words) - 05:05, 21 May 2023
- The Arizona Cardinals are a professional American football team based in the Phoenix metropolitan area. The Cardinals compete in the National Football...88 KB (7,040 words) - 21:57, 21 August 2024
- Cofinality (category Cardinal numbers)infinite regular cardinal. A regular ordinal is an ordinal that is equal to its cofinality. A singular ordinal is any ordinal that is not regular. Every...8 KB (1,302 words) - 14:50, 20 August 2024
- Gimel function (category Cardinal numbers)(\kappa )>\kappa } for all infinite cardinals κ {\displaystyle \kappa } by König's theorem. For regular cardinals κ {\displaystyle \kappa } , ℷ ( κ )...4 KB (470 words) - 17:06, 28 May 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 (550 words) - 10:12, 26 July 2024
- nonrecursive ordinal, also called the Church–Kleene ordinal). Any regular uncountable cardinal is an admissible ordinal. By a theorem of Sacks, the countable...6 KB (660 words) - 20:55, 27 July 2024
- dispersed, according to Cardinal Gasquet's computation, ninety-one houses in all. In the early 20th century, the canons regular were represented in England...63 KB (8,701 words) - 18:08, 28 July 2024
- Rose Marie "Tantoo" Cardinal CM (born July 20, 1950) is a Canadian actress. Of Cree and Métis heritage, in 2009 she was made a member of the Order of Canada...17 KB (813 words) - 17:52, 16 August 2024
- Clerks Regular of the Mother of God of Lucca 97372Catholic Encyclopedia (1913) — Clerks Regular of the Mother of God of Lucca Clerks Regular of the Mother
- 1813, p. 240 See also Remedy It is said that he replied to Cardinal ***, a not very regular prelate (some say Abbot Terray), who was complaining of suffering
- numbers 1-100 the rest of the numbers are regular. Another point to be noted in Hindi in case of cardinal numbers is that Hindi (and all other Indic