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In logic, specifically in deductive reasoning, an argument is valid if and only if it takes a form that makes it impossible for the premises to be true and the conclusion nevertheless to be false. It is not required for a valid argument to have premises that are actually true, but to have premises that, if they were … 展开
A statement can be called valid, i.e. logical truth, in some systems of logic like in Modal logic if the statement is true in all interpretations. In Aristotelian logic statements are not valid … 展开
In truth-preserving validity, the interpretation under which all variables are assigned a truth value of 'true' produces a truth value of 'true'. 展开
A formula of a formal language is a valid formula if and only if it is true under every possible interpretation of the language. In propositional logic, they are tautologies. 展开
Validity of deduction is not affected by the truth of the premise or the truth of the conclusion. The following deduction is perfectly valid: 展开
Model theory analyzes formulae with respect to particular classes of interpretation in suitable mathematical structures. On this reading, a formula is valid if all such interpretations make it true. An inference is valid if all interpretations that validate the … 展开
CC-BY-SA 许可证中的维基百科文本 Logic | Wikipedia
Premises and conclusions are the basic parts of inferences or arguments and therefore play a central role in logic. In the case of a valid inference or a correct argument, the conclusion follows from the premises, or in other words, the premises support the conclusion. For instance, the premises "Mars is red" and "Mars is a planet" support the conclusion "Mars is a red planet". For most type…
Wikipedia · CC-BY-SA 许可下的文字Decidability (logic) | Wikipedia
- Each logical system comes with both a syntactic component, which among other things determines the notion of provability, and a semantic component, which determines the notion of logical validity. The logically valid formulas of a system are sometimes called the theorems of the system, especially in the context of first-order logic where Gödel's co...
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有效性 - 維基百科，自由的百科全書 | zh.wikipedia.org
网页邏輯學 中，一個演繹 論證 或論據（argument）是「有效的 （valid）」，若且唯若它沒有所有 前提 為真同時結論為假，並且它的結論跟隨前提的邏輯，否則它是 無效的。. [1] 一個 …
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Validity (logic) | Wikiwand / articles
网页In logic, specifically in deductive reasoning, an argument is valid if and only if it takes a form that makes it impossible for the premises to be true and the...
Formal Logic/Sentential Logic/Validity | Wikibooks
网页An argument is valid if and only if every interpretation that satisfies all the premises also satisfies the conclusion. A conclusion of a valid argument is a logical consequence of its …
Validity (logic) | WikiMili, The Best Wikipedia Reader
网页2024年7月27日 · In logic, specifically in deductive reasoning, an argument is valid if and only if it takes a form that makes it impossible for the premises to be true and the …
Classical Logic | Stanford Encyclopedia of Philosophy
网页2000年9月16日 · The following sections provide the basics of a typical logic, sometimes called “classical elementary logic” or “classical first-order logic”. Section 2 develops a …
Introduction to Philosophy/Logic/Truth and Validity
网页2023年12月27日 · An argument is valid if the conclusion follows from the premises. In logic, truth is a property of statements, i.e. premises and conclusions, whereas validity is a …
Satisfiability | Wikipedia
网页In mathematical logic, a formula is satisfiable if it is true under some assignment of values to its variables. For example, the formula is satisfiable because it is true when and , while …
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