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Hereditary set

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.

Assumptions, In formulations of set theory & Examples

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Assumptions

4 related topics

In formulations of set theory

3 related topics

Examples

2 related topics

Overview

2 related topics

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Overview

Examples

In formulations of set theory

Assumptions

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Hereditary set

Nodes16
Edges15
Triples11
Avg. degree1.88
Density0.125
Components1

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Hereditary set

Top relations

related to In formulations of set theory · 5
Hereditary set → Fraenkel, In, Neumann, Thus, Zermelo
related to Assumptions · 4
Hereditary set → For, However, In, The
related to Examples · 2
Hereditary set → For, Similarly

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Important terminology

set hereditary sets theory elements contains formulations also well-founded example empty thus displaystyle varnothing may pure whose examples assumptions see

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Hereditary setrelated to AssumptionsThe0.60section
Hereditary setrelated to AssumptionsHowever0.60section
Hereditary setrelated to AssumptionsIn0.60section
Hereditary setrelated to AssumptionsFor0.60section
Hereditary setrelated to ExamplesFor0.60section
Hereditary setrelated to ExamplesSimilarly0.60section
Hereditary setrelated to In formulations of set theoryIn0.60section
Hereditary setrelated to In formulations of set theoryNeumann0.60section
Hereditary setrelated to In formulations of set theoryZermelo0.60section
Hereditary setrelated to In formulations of set theoryFraenkel0.60section
Hereditary setrelated to In formulations of set theoryThus0.60section

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