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- Existence_theorem abstract "In mathematics, an existence theorem is a theorem with a statement beginning 'there exist(s) ..', or more generally 'for all x, y, ... there exist(s) ...'. That is, in more formal terms of symbolic logic, it is a theorem with a statement involving the existential quantifier. Many such theorems will not do so explicitly, as usually stated in standard mathematical language. For example, the statement that the sine function is continuous; or any theorem written in big O notation. The quantification can be found in the definitions of the concepts used.A controversy that goes back to the early twentieth century concerns the issue of pure existence theorems. Such theorems may depend on non-constructive foundational material such as the axiom of infinity, the axiom of choice, or the law of excluded middle. From a constructivist viewpoint, by admitting them mathematics loses its concrete applicability (see nonconstructive proof). The opposing viewpoint is that abstract methods are far-reaching, in a way that numerical analysis cannot be.".
- Existence_theorem wikiPageID "251177".
- Existence_theorem wikiPageRevisionID "573326713".
- Existence_theorem hasPhotoCollection Existence_theorem.
- Existence_theorem subject Category:Mathematical_theorems.
- Existence_theorem type Abstraction100002137.
- Existence_theorem type Argument106648724.
- Existence_theorem type Communication100033020.
- Existence_theorem type Evidence106643408.
- Existence_theorem type Indication106797169.
- Existence_theorem type MathematicalProof106647864.
- Existence_theorem type MathematicalProofs.
- Existence_theorem type MathematicalTheorems.
- Existence_theorem type Message106598915.
- Existence_theorem type Proof106647614.
- Existence_theorem type Proposition106750804.
- Existence_theorem type Statement106722453.
- Existence_theorem type Theorem106752293.
- Existence_theorem comment "In mathematics, an existence theorem is a theorem with a statement beginning 'there exist(s) ..', or more generally 'for all x, y, ... there exist(s) ...'. That is, in more formal terms of symbolic logic, it is a theorem with a statement involving the existential quantifier. Many such theorems will not do so explicitly, as usually stated in standard mathematical language. For example, the statement that the sine function is continuous; or any theorem written in big O notation.".
- Existence_theorem label "Existence theorem".
- Existence_theorem label "Existentiestelling".
- Existence_theorem label "Teorema de existencia".
- Existence_theorem label "Теорема существования".
- Existence_theorem label "存在定理".
- Existence_theorem label "存在性定理".
- Existence_theorem sameAs Teorema_de_existencia.
- Existence_theorem sameAs 存在定理.
- Existence_theorem sameAs Existentiestelling.
- Existence_theorem sameAs m.01l8mr.
- Existence_theorem sameAs Q2694495.
- Existence_theorem sameAs Q2694495.
- Existence_theorem sameAs Existence_theorem.
- Existence_theorem wasDerivedFrom Existence_theorem?oldid=573326713.
- Existence_theorem isPrimaryTopicOf Existence_theorem.