soundness background

soundness

/ˈsaʊndnəs/

Illustration soundness - Image 1

Illustration soundness - Image 2

noun

سلامة، متانة

The state or quality of being sound.

Examples :

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

تم التشكيك في سلامة الجسر الخشبي القديم بعد الأمطار الغزيرة.

quality condition

Illustration soundness - Image 1

Illustration soundness - Image 2

noun

سلامة، متانة

The result or product of being sound.

Examples :

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

كانت سلامة حجتها واضحة في البنية المنطقية لعرضها.

quality condition

Illustration soundness - Image 1

noun

سلامة، صحة

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. "

اعتمدت سلامة الحجة التي تدعو إلى إقامة نزهة يوم السبت على ما إذا كانت توقعات الطقس دقيقة بالفعل.

philosophy logic

Illustration soundness - Image 1

noun

السلامة

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. "

أكد الأستاذ على سلامة البرهان الرياضي، موضحًا أن كل استنتاج يتبع منطقيًا من الافتراضات الأولية، مما يضمن صحته.

logic theory philosophy math computing statement technical science