Keywords: premises, conclusion, argument
Argument validity is not the same as truth. If the premises are true, then the conclusion cannot be false. This, however, does not mean that the premises prove the conclusion to be correct. In this situation, the premises do not entail the conclusion. Another case is that if the premises entail the conclusion, the argument is valid. Nevertheless, this does not mean the conclusion is correct when adopting a false premise.
Thus, the conditions of deductive soundness are as follows:
(1) The premises are true, and
(2) The argument is valid (that is to say, the premises entail the conclusion).
When it comes to meeting the two conditions, the conclusion will be guaranteed to be true, namely, deductively sound.