soundness (noun)

a state or condition free from damage or decay

wisdom, wiseness, soundness (noun)

the quality of being prudent and sensible

firmness, soundness (noun)

the muscle tone of healthy tissue

"his muscular firmness"

soundness (Noun)

The state or quality of being sound.

soundness (Noun)

The result or product of being sound.

soundness (Noun)

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

Soundness

In mathematical logic, a logical system has the soundness property if and only if its inference rules prove only formulas that are valid with respect to its semantics. In most cases, this comes down to its rules having the property of preserving truth, but this is not the case in general.

Soundness

In logic or, more precisely, deductive reasoning, an argument is sound if it is both valid in form and its premises are true. Soundness also has a related meaning in mathematical logic, wherein logical systems are sound if and only if every formula that can be proved in the system is logically valid with respect to the semantics of the system.