Visual meaning of 'soundness'? - learn with images, example in daily life

Visual illustration of soundness: The state or quality of being sound. - Image 1

soundness: The state or quality of being sound. - Thumbnail 1

noun

The state or quality of being sound.

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

quality condition

Visual illustration of soundness: The result or product of being sound. - Image 1

soundness: The result or product of being sound. - Thumbnail 1

noun

The result or product of being sound.

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

quality condition

noun

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

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

philosophy logic

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

noun

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.

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

logic theory philosophy math computing statement technical science