# does every correct mathematical proof have to be sound argument?

We know that if an argument is sound then it must be valid and its all premises must be true (as a result of this its conclusion is also true).

We prove mathematical statement by using logic rules. Then, can we say that all correct mathematical proofs are sound arguments?

I think that the answer is yes because a proof must be valid to reach the conclusion and if it is a correct proof that its premises and conclusion must also be true, but i am not sure about it? What is your notions?

• What is your definition of a “correct mathematical proof” ? Aug 6, 2020 at 15:47
• @gandalf61 ordinary proofs Aug 6, 2020 at 16:19
• You will need to give more detail than that. What do you mean by an “ordinary proof” ? Presumably it is not the same as a sound argument, otherwise you would not be asking your question. I doubt that anyone can help you unless you define your terms. Aug 6, 2020 at 16:44
• It sounds to me you are using to phrases to be defined to mean the exact same thing. Premises true and logic valid is a "sound argument". And correct mathematical proof is .... premises true and logic valid... Aug 7, 2020 at 0:46