soundness background

soundness

/ˈsaʊndnəs/

Illustration soundness - Image 1

Illustration soundness - Image 2

noun

Gesundheit, Unversehrtheit

The state or quality of being sound.

Examples :

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

Die Gesundheit der alten Holzbrücke wurde nach dem starken Regen in Frage gestellt.

quality condition

Illustration soundness - Image 1

Illustration soundness - Image 2

noun

Gesundheit, Unversehrtheit

The result or product of being sound.

Examples :

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

Die Gesundheit ihrer Argumentation war in der logischen Struktur ihrer Präsentation offensichtlich.

quality condition

Illustration soundness - Image 1

noun

Gültigkeit, Richtigkeit

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. "

Die Gültigkeit des Arguments, warum wir am Samstag ein Picknick machen sollten, hing davon ab, ob die Wettervorhersage tatsächlich zutreffend war.

philosophy logic

Illustration soundness - Image 1

noun

Korrektheit

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. "

Der Professor betonte die Korrektheit des mathematischen Beweises und erklärte, dass jede Schlussfolgerung logisch aus den anfänglichen Annahmen folgte, wodurch ihre Wahrheit sichergestellt wurde.

logic theory philosophy math computing statement technical science