soundnesses (0 synonym found)

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Definition of soundnesses:

(n) : (uncountable) The state or quality of being sound.
(n) : (countable) The result or product of being sound.
(n) : (logic) The property (of an argument) of not only being valid, but also of having true premises.
(n) : (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.
Definition of soundnesses:

(n) : (uncountable) The state or quality of being sound.
(n) : (countable) The result or product of being sound.
(n) : (logic) The property (of an argument) of not only being valid, but also of having true premises.
(n) : (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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