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Subcountability

In constructive mathematics, a collection X {\displaystyle X} is subcountable if there exists a partial surjection from the natural numbers onto it. This may be expressed as ∃ ( I ⊆ N ) . ∃ f . ( f : I ↠ X ) , {\displaystyle \exists (I\subseteq {\mathbb {N} }).\,\exists f.\,(f\colon I\twoheadrightarrow X),} where f : I ↠ X {\displaystyle f\colon…

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Art & Measurement

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Map overview Semantic statistics

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Subcountability

Nodes53
Edges52
Triples34
Avg. degree1.96
Density0.037736
Components1

How this topic connects Entity context

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Subcountability

Top relations

related to Models · 13
Subcountability → As, CZF, In, IZF, Kripke, Martin-Löf, Models, More, Platek, Subcountability Axiom, Such, The, There
related to Relation to excluded middle · 8
Subcountability → Being, But, In, Markov's, One, The, Then, There
related to The notion of size · 8
Subcountability → As, But, Cantor, Cantor's, Constructively, Motivated, The, This
related to Subcountable and ω-productive are mutually exclusive · 5
Subcountability → As, If, In, The, They

Important terminology Word statistics

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Important terminology

displaystyle set mathbb function subcountable also sets theory functions numbers surjection subset may countable subsets mathcal constructive onto exists subseteq

Entity relationships Subject–Predicate–Object triples

Extracted RDF-like relationships with confidence and source. The table includes structured facts and lower-confidence contextual relations.
SubjectPredicateObjectConfidenceSrc
Subcountabilityrelated to ModelsThe0.60section
Subcountabilityrelated to ModelsModels0.60section
Subcountabilityrelated to ModelsCZF0.60section
Subcountabilityrelated to ModelsSuch0.60section
Subcountabilityrelated to ModelsThere0.60section
Subcountabilityrelated to ModelsIZF0.60section
Subcountabilityrelated to ModelsMartin-Löf0.60section
Subcountabilityrelated to ModelsIn0.60section
Subcountabilityrelated to ModelsSubcountability Axiom0.60section
Subcountabilityrelated to ModelsAs0.60section
Subcountabilityrelated to ModelsMore0.60section
Subcountabilityrelated to ModelsKripke0.60section

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