soundness
noun
Forms soundnesses
- noun (uncountable) The state or quality of being sound.
- noun (countable) The result or product of being sound.
- noun (logic) The property (of an argument) of not only being valid, but also of having true premises.
- noun (logic) 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”).
Webster’s 1913
Sources: Wiktionary · WordNet 3.0 · Webster’s 1913 — from the Wiktionary entry “soundness”, CC BY-SA 4.0. Details