noun

soundness

Soundness (noun) means the state or quality of being sound.

noun

The state or quality of being sound.

The result or product of being sound.

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

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⊢φ is true, then T⊨φ must also be true, for any wff φ of logic L.

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Etymology

From Middle English soundenes, soundnes, from Old English *sundnes, *ġesundnes (attested in onsundnes), from Proto-West Germanic *sundnassī (“soundness, health”); equivalent to sound + -ness. Cognate with West Frisian sûnens (“soundness, health”), Middle Low German suntnisse (“soundness, health”), Middle High German suntnisse (“soundness, health”), German Gesundnis (“health”).

Frequently asked questions

What is the meaning of soundness?

"soundness" (noun) means the state or quality of being sound.

What are the different meanings of soundness?

"soundness" has 3 main meanings: 1. The state or quality of being sound; 2. The result or product of being sound; 3. The property (of an argument) of not only being valid, but also of having true premises.