soundness background

soundness

/ˈsaʊndnəs/

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Illustration soundness - Image 2

noun

अखंडता, स्थिरता

The state or quality of being sound.

Examples :

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

भारी बारिश के बाद पुराने लकड़ी के पुल की स्थिरता पर सवाल उठाया गया।

quality condition

Illustration soundness - Image 1

Illustration soundness - Image 2

noun

अखंडता, स्थिरता

The result or product of being sound.

Examples :

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

उसके तर्क की स्थिरता उसके प्रस्तुति के तार्किक ढांचे में स्पष्ट थी।

quality condition

Illustration soundness - Image 1

noun

वैधता, सत्यता

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. "

शनिवार को पिकनिक मनाने के तर्क की वैधता इस बात पर निर्भर करती थी कि मौसम का पूर्वानुमान वास्तव में सटीक था या नहीं।

philosophy logic

Illustration soundness - Image 1

noun

सत्यता, सुदृढ़ता

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. "

प्रोफेसर ने गणितीय प्रमाण की सत्यता पर जोर दिया, यह समझाते हुए कि प्रत्येक निष्कर्ष तार्किक रूप से प्रारंभिक मान्यताओं से निकला, जिससे उसकी सच्चाई सुनिश्चित हुई।

logic theory philosophy math computing statement technical science