soundness background

soundness

/ˈsaʊndnəs/

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Illustration soundness - Image 2

noun

健全さ, 頑丈さ

The state or quality of being sound.

Examples :

"The soundness of the old wooden bridge was questioned after the heavy rain. "

大雨の後、古い木造橋の健全さが疑問視された。

quality condition

Illustration soundness - Image 1

Illustration soundness - Image 2

noun

健全性, 健全さ

The result or product of being sound.

Examples :

"The soundness of her argument was evident in the logical structure of her presentation. "

彼女の議論の健全性は、彼女のプレゼンテーションの論理構造において明らかだった。

quality condition

Illustration soundness - Image 1

noun

妥当性、正当性

The property (of an argument) of not only being valid, but also of having true premises.

Examples :

"The soundness of the argument for why we should have a picnic on Saturday depended on whether the weather forecast was actually accurate. "

土曜日にピクニックをするべきだという議論の正当性は、天気予報が実際に正確であるかどうかにかかっていた。

philosophy logic

Illustration soundness - Image 1

noun

健全性

The property of a logical theory that whenever a wff is a theorem then it must also be valid. Symbolically, letting T represent a theory within logic L, this can be represented as the property that whenever T \vdash \phi is true, then T \vDash \phi must also be true, for any wff φ of logic L.

Examples :

"The professor emphasized the soundness of the mathematical proof, explaining that every conclusion logically followed from the initial assumptions, ensuring its truth. "

教授は、数学的証明の健全性を強調し、すべての結論が最初の仮定から論理的に導き出され、その真実性を保証していると説明しました。

logic theory philosophy math computing statement technical science