Search results

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...

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...

sets Partition regularity Regular cardinal, a cardinal number that is equal to its cofinality Regular modal logic Regular conditional probability, a...

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...

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...

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...

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...

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...

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...

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...

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...

\omega _{2}} is a regular cardinal. If 0 ♯ {\displaystyle 0^{\sharp }} does not exist, it also follows that the singular cardinals hypothesis holds.p...

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...

The Arizona Cardinals are a professional American football team based in the Phoenix metropolitan area. The Cardinals compete in the National Football...

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...

(\kappa )>\kappa } for all infinite cardinals κ {\displaystyle \kappa } by König's theorem. For regular cardinals κ {\displaystyle \kappa } , ℷ ( κ )...

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...

nonrecursive ordinal, also called the Church–Kleene ordinal). Any regular uncountable cardinal is an admissible ordinal. By a theorem of Sacks, the countable...

dispersed, according to Cardinal Gasquet's computation, ninety-one houses in all. In the early 20th century, the canons regular were represented in England...

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...