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Saturated model

In mathematical logic, and particularly in its subfield model theory, a saturated model is one that realizes as many complete types as may be "reasonably expected" given its size. For example, an ultrapower model of the hyperreals is ℵ 1 {\displaystyle \aleph _{1}} -saturated, meaning that every descending nested sequence of internal sets has a nonempty…

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Relationship to prime models

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Saturated model

Nodes34
Edges33
Triples46
Avg. degree1.94
Density0.058824
Components1

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Saturated model

Top relations

related to References · 32
Saturated model → Amsterdam, An, An Introduction, Benjamin, Bruno, Chang, Course, David, Foundations, Gerald, Goldblatt, Inc, ISBN, Keisler, Klein, Lectures, Logic, Marker, Mass, Mathematics
related to Examples · 8
Saturated model → Every, For, However, Intuitively, Saturated, The, This, Thus
related to Relationship to prime models · 6
Saturated model → Any, For, Given, However, The, Then

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Important terminology

model saturated theory cardinality type types countable complete models finite parameters every sets language structure consistent realizes example sequence definition

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SubjectPredicateObjectConfidenceSrc
Saturated modelrelated to ExamplesSaturated0.60section
Saturated modelrelated to ExamplesIntuitively0.60section
Saturated modelrelated to ExamplesFor0.60section
Saturated modelrelated to ExamplesThis0.60section
Saturated modelrelated to ExamplesEvery0.60section
Saturated modelrelated to ExamplesThus0.60section
Saturated modelrelated to ExamplesHowever0.60section
Saturated modelrelated to ExamplesThe0.60section
Saturated modelrelated to ReferencesChang0.60section
Saturated modelrelated to ReferencesKeisler0.60section
Saturated modelrelated to ReferencesModel0.60section
Saturated modelrelated to ReferencesThird0.60section

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