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In logic and deductive reasoning, an argument is sound if it is both valid in form and has no false premises. Soundness has a related meaning in mathematical logic, wherein a formal system of logic is sound if and only if every well-formed formula that can be proven in the system is logically valid with respect to the logical … 展开
In deductive reasoning, a sound argument is an argument that is valid and all of its premises are true (and as a consequence its conclusion is true as well). An argument is valid if, assuming its … 展开
Logical systems
In mathematical logic, a logical system has the soundness property if every formula that can be proved in the system is logically valid with … 展开• Hinman, P. (2005). Fundamentals of Mathematical Logic. A K Peters. ISBN 1-56881-262-0.
• Copi, Irving (1979), … 展开CC-BY-SA 许可证中的维基百科文本 Validity (logic) | Wikipedia
Validity of deduction is not affected by the truth of the premise or the truth of the conclusion. The following deduction is perfectly valid:
All animals live on Mars. (False) All humans are animals. (True) Therefore, all humans live on Mars. (False)
The problem with the argument is that it is not sound. In order for a deductive argument to be so…Wikipedia · CC-BY-SA 许可下的文字- 预计阅读时间：6 分钟
soundness | Wiktionary, the free dictionary
网页2024年2月27日 · soundness (countable and uncountable, plural soundnesses) (uncountable) The state or quality of being sound. The result or product of being sound. …
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Validity and Soundness | Internet Encyclopedia of Philosophy
网页Validity and Soundness. A deductive argument is said to be valid if and only if it takes a form that makes it impossible for the premises to be true and the conclusion nevertheless to …
Zero-knowledge proof | Wikipedia
网页Soundness: if the statement is false, then no cheating prover can convince an honest verifier that it is true, except with some small probability. Zero-knowledge: if the statement is …
soundness noun | Definition, pictures, pronunciation and usage …
网页the quality of being good, detailed and complete. He had confidence in the soundness of his understanding of physics. the fact of being in good condition; the fact of not being …
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terminology - Why does soundness imply consistency? | Computer …
网页2018年2月19日 · Soundness is a semantic property that has to do with how we interpret the formulas, function symbols, and predicate symbols into mathematical objects and …
SOUNDNESS Definition & Meaning | Dictionary.com
网页Soundness definition: freedom from injury, damage, defect, disease, etc.; health or good condition. See examples of SOUNDNESS used in a sentence.
The difference between soundness and completeness
网页2023年2月5日 · Soundness is the property of only being able to prove "true" things. Completeness is the property of being able to prove all true things. So a given logical …
Soundness | logic | Britannica
网页In formal logic: General observations. …both these conditions is called sound. Of these two conditions, the logician as such is concerned only with the first; the second, the …
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