Cardinal Mathematics
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In mathematics, 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...
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...
Set theory (redirect from Set theory (mathematics))the real number line to the study of the consistency of large cardinals. Mathematical topics typically emerge and evolve through interactions among many...- 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...
In mathematics, a set is a collection of different things; these things are called elements or members of the set and are typically mathematical objects...- cardinal is inaccessible if it cannot be obtained from smaller cardinals by the usual operations of cardinal arithmetic. More precisely, a cardinal κ...
- 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...
Aleph number (category Cardinal numbers)In mathematics, particularly in set theory, the aleph numbers are a sequence of numbers used to represent the cardinality (or size) of infinite sets that...- Arity Cardinal number for the related usage in mathematics English numerals (in particular the Cardinal numbers section) Distributive number Multiplier...
Infinity (redirect from Infinity (mathematics))the cardinality of the line) is larger than the number of integers. In this usage, infinity is a mathematical concept, and infinite mathematical objects...- In mathematics, a weakly compact cardinal is a certain kind of cardinal number introduced by Erdős & Tarski (1961); weakly compact cardinals are large...
- This page includes a list of large cardinal properties in the mathematical field of set theory. It is arranged roughly in order of the consistency strength...
- Transfinite number (redirect from Transfinite cardinal numbers)larger than all finite numbers. These include the transfinite cardinals, which are cardinal numbers used to quantify the size of infinite sets, and the...
- Mathematical logic is the study of formal logic within mathematics. Major subareas include model theory, proof theory, set theory, and recursion theory...
- In mathematics, extendible cardinals are large cardinals introduced by Reinhardt (1974), who was partly motivated by reflection principles. Intuitively...
The four cardinal directions, or cardinal points, are the four main compass directions: north, south, east, and west, commonly denoted by their initials...- In mathematics, an Erdős cardinal, also called a partition cardinal is a certain kind of large cardinal number introduced by Paul Erdős and András Hajnal (1958)...
- 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...
discrete mathematics has been characterized as the branch of mathematics dealing with countable sets (finite sets or sets with the same cardinality as the...- Uncountable set (category Cardinal numbers)closely related to its cardinal number: a set is uncountable if its cardinal number is larger than aleph-null, the cardinality of the natural numbers...
- Volume 17 Mathematics by Alfred North Whitehead 2294261911 Encyclopædia Britannica, Volume 17 — MathematicsAlfred North Whitehead MATHEMATICS (Gr. μαθηματική
- The Principia Mathematica is a three-volume work on the foundations of mathematics, written by Alfred North Whitehead and Bertrand Russell and published
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