soundness background

soundness

/ˈsaʊndnəs/

Illustration soundness - Image 1

Illustration soundness - Image 2

noun

Здравость, прочность

The state or quality of being sound.

Examples :

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

Здравость старого деревянного моста была поставлена под сомнение после сильного дождя.

quality condition

Illustration soundness - Image 1

Illustration soundness - Image 2

noun

Здравость, прочность

The result or product of being sound.

Examples :

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

Здравость ее аргументации была очевидна в логической структуре ее презентации.

quality condition

Illustration soundness - Image 1

noun

Обоснованность, правильность

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. "

Обоснованность аргумента в пользу пикника в субботу зависела от того, насколько точным был прогноз погоды.

philosophy logic

Illustration soundness - Image 1

noun

Корректность

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. "

Профессор подчеркнул корректность математического доказательства, объяснив, что каждое заключение логически следовало из исходных предположений, обеспечивая его истинность.

logic theory philosophy math computing statement technical science