Soundness

noun

Definitions

Noun
  1. 1
    The state or quality of being sound. uncountable
  2. 2
    the muscle tone of healthy tissue wordnet
  3. 3
    The result or product of being sound. countable
  4. 4
    the quality of being prudent and sensible wordnet
  5. 5
    The property (of an argument) of not only being valid, but also of having true premises. countable, uncountable
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  1. 6
    a state or condition free from damage or decay wordnet
  2. 7
    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. countable, uncountable

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”).

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