soundness background

soundness

/ˈsaʊndnəs/

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Illustration soundness - Image 2

noun

건전함, 튼튼함

The state or quality of being sound.

Examples :

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

폭우 후 오래된 나무 다리의 튼튼함에 의문이 제기되었다.

quality condition

Illustration soundness - Image 1

Illustration soundness - Image 2

noun

견실함, 건전함

The result or product of being sound.

Examples :

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

그녀의 주장의 견실함은 그녀의 발표의 논리적 구조에서 분명히 드러났다.

quality condition

Illustration soundness - Image 1

noun

타당성, 유효성

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. "

토요일에 소풍을 가야 하는 이유에 대한 주장의 타당성은 날씨 예보가 실제로 정확한지에 달려 있었다.

philosophy logic

Illustration soundness - Image 1

noun

타당성

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. "

교수는 수학적 증명의 타당성을 강조하며, 모든 결론이 초기 가정에서 논리적으로 도출되어 그 진실성을 보장한다고 설명했다.

logic theory philosophy math computing statement technical science