soundness background

soundness

/ˈsaʊndnəs/

Illustration soundness - Image 1

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noun

稳健，健全，完好。

The state or quality of being sound.

Examples :

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

暴雨过后，人们开始怀疑这座老木桥的完好性。

quality condition

Illustration soundness - Image 1

Illustration soundness - Image 2

noun

健全，完好。

The result or product of being sound.

Examples :

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

她的论证的健全性在她演讲的逻辑结构中显而易见。

quality condition

Illustration soundness - Image 1

noun

有效性，可靠性

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. "

我们星期六应该去野餐的论证是否站得住脚，取决于天气预报是否真的准确可靠。

philosophy logic

Illustration soundness - Image 1

noun

可靠性，有效性。

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. "

教授强调了该数学证明的严谨可靠性，解释说每一个结论都从最初的假设合乎逻辑地推导而出，从而确保了其真实性。

logic theory philosophy math computing statement technical science