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Existence theorem

In mathematics, an existence theorem is a theorem which asserts the existence of a certain object. It might be a statement which begins with the phrase "there exist(s)", or it might be a universal statement whose last quantifier is existential (e.g., "for all x, y, ... there exist(s) ..."). In the formal terms of symbolic logic, an existence theorem is a…

Standards, Overview & "Pure" existence results

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"Pure" existence results

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Existence theorem

Nodes28
Edges27
Triples19
Avg. degree1.93
Density0.071429
Components1

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Existence theorem

Top relations

related to "Pure" existence results · 8
Existence theorem → An, Despite, For, In, John Nash's, Nash, Such, These
related to Constructivist ideas · 6
Existence theorem → Accordingly, Bishop, Errett Bishop's, For, From, One
is a · 2
Existence theorem → theorem which asserts the existence of a certain object, theorem with a prenex normal form involving the existential quantifier

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Important terminology

existence theorem theorems existential mathematics proof constructive purely object statement exist whose constructivist quantifier terms example non-constructive theoretical logic standard

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Existence theoremis atheorem which asserts the existence of a certain object0.90text
Existence theoremis atheorem with a prenex normal form involving the existential quantifier0.90text
the axiom of infinityinstance oftheorems which depend on non-constructive foundational material0.80text
the axiom of choice or the law of excluded middleinstance oftheorems which depend on non-constructive foundational material0.80text
sininstance ofthe continuity of a function0.80text
Existence theoremrelated to "Pure" existence resultsIn0.60section
Existence theoremrelated to "Pure" existence resultsSuch0.60section
Existence theoremrelated to "Pure" existence resultsThese0.60section
Existence theoremrelated to "Pure" existence resultsDespite0.60section
Existence theoremrelated to "Pure" existence resultsFor0.60section
Existence theoremrelated to "Pure" existence resultsJohn Nash's0.60section
Existence theoremrelated to "Pure" existence resultsNash0.60section

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