soundness background

soundness

/ˈsaʊndnəs/

Illustration soundness - Image 1

Illustration soundness - Image 2

noun

Solidez, integridad

The state or quality of being sound.

Examples :

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

La solidez del antiguo puente de madera fue cuestionada después de la fuerte lluvia.

quality condition

Illustration soundness - Image 1

Illustration soundness - Image 2

noun

Solidez, integridad

The result or product of being sound.

Examples :

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

La solidez de su argumento era evidente en la estructura lógica de su presentación.

quality condition

Illustration soundness - Image 1

noun

Validez, solidez

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. "

La validez del argumento de por qué deberíamos hacer un picnic el sábado dependía de si el pronóstico del tiempo era realmente preciso.

philosophy logic

Illustration soundness - Image 1

noun

Solidez

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. "

El profesor enfatizó la solidez de la prueba matemática, explicando que cada conclusión se derivaba lógicamente de las suposiciones iniciales, asegurando su veracidad.

logic theory philosophy math computing statement technical science