In mathematical logic, a judgment (or judgement) or assertion is a statement or enunciation in a metalanguage. For example, typical judgments in first-order logic would be that a string is a well-formed formula, or that a proposition is true. Similarly, a judgment may assert the occurrence of a free variable in an expression of the object language, or the provability of a proposition. In general, a judgment may be any inductively definable assertion in the metatheory.
| Attributes | Values |
|---|
| rdf:type
| |
| rdfs:label
| - Asserció lògica (ca)
- Aserción lógica (es)
- Judgment (mathematical logic) (en)
- 逻辑断言 (zh)
|
| rdfs:comment
| - En lògica matemàtica, una asserció lògica és una afirmació que assevera que una premissa és veritable. Per exemple, si p = x "és parell", la implicació 1.
* és certa. Podem el mateix usant el símbol d'asserció com (ca)
- En lógica matemática, una aserción lógica es una afirmación que asevera que una premisa es verdadera. Por ejemplo, si p = x "es par", la implicación 1.
* es cierta. Podemos escribir esto mismo usando el símbolo de aserción como (es)
- 逻辑断言（英語：Logical assertion）是断定一个特定前提为真的陈述，并且对在证明中的陈述有用。它等价于有空前件的相继式。 例如，如果 p = "x 是偶数"，则蕴涵 因此为真。我们还可以使用逻辑断言符号写为 (zh)
- In mathematical logic, a judgment (or judgement) or assertion is a statement or enunciation in a metalanguage. For example, typical judgments in first-order logic would be that a string is a well-formed formula, or that a proposition is true. Similarly, a judgment may assert the occurrence of a free variable in an expression of the object language, or the provability of a proposition. In general, a judgment may be any inductively definable assertion in the metatheory. (en)
|
| dcterms:subject
| |
| Wikipage page ID
| |
| Wikipage revision ID
| |
| Link from a Wikipage to another Wikipage
| |
| Link from a Wikipage to an external page
| |
| sameAs
| |
| dbp:wikiPageUsesTemplate
| |
| has abstract
| - En lògica matemàtica, una asserció lògica és una afirmació que assevera que una premissa és veritable. Per exemple, si p = x "és parell", la implicació 1.
* és certa. Podem el mateix usant el símbol d'asserció com (ca)
- En lógica matemática, una aserción lógica es una afirmación que asevera que una premisa es verdadera. Por ejemplo, si p = x "es par", la implicación 1.
* es cierta. Podemos escribir esto mismo usando el símbolo de aserción como (es)
- In mathematical logic, a judgment (or judgement) or assertion is a statement or enunciation in a metalanguage. For example, typical judgments in first-order logic would be that a string is a well-formed formula, or that a proposition is true. Similarly, a judgment may assert the occurrence of a free variable in an expression of the object language, or the provability of a proposition. In general, a judgment may be any inductively definable assertion in the metatheory. Judgments are used in formalizing deduction systems: a logical axiom expresses a judgment, premises of a rule of inference are formed as a sequence of judgments, and their conclusion is a judgment as well (thus, hypotheses and conclusions of proofs are judgments). A characteristic feature of the variants of Hilbert-style deduction systems is that the context is not changed in any of their rules of inference, while both natural deduction and sequent calculus contain some context-changing rules. Thus, if we are interested only in the derivability of tautologies, not hypothetical judgments, then we can formalize the Hilbert-style deduction system in such a way that its rules of inference contain only judgments of a rather simple form. The same cannot be done with the other two deductions systems: as context is changed in some of their rules of inferences, they cannot be formalized so that hypothetical judgments could be avoided—not even if we want to use them just for proving derivability of tautologies. This basic diversity among the various calculi allows such difference, that the same basic thought (e.g. deduction theorem) must be proven as a metatheorem in Hilbert-style deduction system, while it can be declared explicitly as a rule of inference in natural deduction. In type theory, some analogous notions are used as in mathematical logic (giving rise to connections between the two fields, e.g. Curry–Howard correspondence). The abstraction in the notion of judgment in mathematical logic can be exploited also in foundation of type theory as well. (en)
- 逻辑断言（英語：Logical assertion）是断定一个特定前提为真的陈述，并且对在证明中的陈述有用。它等价于有空前件的相继式。 例如，如果 p = "x 是偶数"，则蕴涵 因此为真。我们还可以使用逻辑断言符号写为 (zh)
|
| prov:wasDerivedFrom
| |
| page length (characters) of wiki page
| |
| foaf:isPrimaryTopicOf
| |
| is Link from a Wikipage to another Wikipage
of | |
| is Wikipage redirect
of | |
| is Wikipage disambiguates
of | |
| is foaf:primaryTopic
of | |
![[RDF Data]](/fct/images/sw-rdf-blue.png)
![[cxml]](/fct/images/cxml_doc.png)
![[csv]](/fct/images/csv_doc.png)
![[text]](/fct/images/ntriples_doc.png)
![[turtle]](/fct/images/n3turtle_doc.png)
![[ld+json]](/fct/images/jsonld_doc.png)
![[rdf+json]](/fct/images/json_doc.png)
![[rdf+xml]](/fct/images/xml_doc.png)
![[atom+xml]](/fct/images/atom_doc.png)
![[html]](/fct/images/html_doc.png)