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12 relations: Continuum hypothesis, Critical point (set theory), Huge cardinal, Inner model, Inner model theory, Large cardinal, Normal measure, Ordinal number, Richard Laver, Set theory, Strongly compact cardinal, Ultrafilter.
Continuum hypothesis
In mathematics, the continuum hypothesis (abbreviated CH) is a hypothesis about the possible sizes of infinite sets.
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Critical point (set theory)
In set theory, the critical point of an elementary embedding of a transitive class into another transitive class is the smallest ordinal which is not mapped to itself.
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Huge cardinal
In mathematics, a cardinal number κ is called huge if there exists an elementary embedding j: V → M from V into a transitive inner model M with critical point κ and Here, αM is the class of all sequences of length α whose elements are in M. Huge cardinals were introduced by.
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Inner model
In set theory, a branch of mathematical logic, an inner model for a theory T is a substructure of a model M of a set theory that is both a model for T and contains all the ordinals of M.
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Inner model theory
In set theory, inner model theory is the study of certain models of ZFC or some fragment or strengthening thereof.
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Large cardinal
In the mathematical field of set theory, a large cardinal property is a certain kind of property of transfinite cardinal numbers.
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Normal measure
In set theory, a normal measure is a measure on a measurable cardinal κ such that the equivalence class of the identity function on κ maps to κ itself in the ultrapower construction.
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Ordinal number
In set theory, an ordinal number, or ordinal, is one generalization of the concept of a natural number that is used to describe a way to arrange a collection of objects in order, one after another.
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Richard Laver
Richard Joseph Laver (October 20, 1942 – September 19, 2012) was an American mathematician, working in set theory.
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Set theory
Set theory is a branch of mathematical logic that studies sets, which informally are collections of objects.
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Strongly compact cardinal
In mathematical set theory, a strongly compact cardinal is a certain kind of large cardinal number.
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Ultrafilter
In the mathematical field of set theory, an ultrafilter on a given partially ordered set (poset) P is a maximal filter on P, that is, a filter on P that cannot be enlarged.
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