In set theory, a hereditary set (or pure set) is a set whose elements are all hereditary sets. That is, all elements of the set are themselves sets, as are all elements of the elements, and so on.
In set theory, a hereditaryset (or pure set) is a set whose elements are all hereditarysets. That is, all elements of the set are themselves sets, as...
mathematics and set theory, hereditarily finite sets are defined as finite sets whose elements are all hereditarily finite sets. In other words, the set itself...
In set theory, a set is called hereditarily countable if it is a countable set of hereditarily countable sets. The inductive definition above is well-founded...
topology and graph theory, but also in set theory. In topology, a topological property is said to be hereditary if whenever a topological space has that...
Hereditary peers are titles and may be elected to serve in the House of Lords under the provisions of the House of Lords Act 1999 and the Standing Orders...
set theory and related branches of mathematics, the von Neumann universe, or von Neumann hierarchy of sets, denoted by V, is the class of hereditary well-founded...
Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects. Although objects of any...
Neumann, ordinal numbers are defined as hereditarily transitive sets: an ordinal number is a transitive set whose members are also transitive (and thus...
Axiom of real determinacy Empty set Forcing (mathematics) Fuzzy setHereditaryset Internal set theory Intersection (set theory) Inner model theory Core...
between sets, popularized by John Venn (1834–1923) in the 1880s. The diagrams are used to teach elementary set theory, and to illustrate simple set relationships...
property (like finiteness in a hereditarily finite set). Some authors regard a nested set collection as a family of sets. Others prefer to classify it...
British Parliament. These can be either life peers or hereditary peers, although the hereditary right to sit in the House of Lords was abolished for all...
mathematics, a set is countable if either it is finite or it can be made in one to one correspondence with the set of natural numbers. Equivalently, a set is countable...
Kripke–Platek set theory (Barwise 1975). The smallest example of an admissible set is the set of hereditarily finite sets. Another example is the set of hereditarily...
mathematics, the empty set is the unique set having no elements; its size or cardinality (count of elements in a set) is zero. Some axiomatic set theories ensure...
Naive set theory is any of several theories of sets used in the discussion of the foundations of mathematics. Unlike axiomatic set theories, which are...
In set theory, a universal set is a set which contains all objects, including itself. In set theory as usually formulated, it can be proven in multiple...
algebra of sets, not to be confused with the mathematical structure of an algebra of sets, defines the properties and laws of sets, the set-theoretic operations...
mathematics, particularly set theory, a finite set is a set that has a finite number of elements. Informally, a finite set is a set which one could in principle...
Hereditary spastic paraplegia (HSP) is a group of inherited diseases whose main feature is a progressive gait disorder. The disease presents with progressive...
inherited their seats (hereditary peers); the Act removed such a right. However, as part of a compromise, the Act allowed ninety-two hereditary peers to remain...
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