What do we know about the conclusion of a sound argument, and why do we know this?

Answer 1

A "valid" argument is one in which the truth of the conclusion necessarily follows on the truth of the premises, given the rules of deduction defined within a logical system. The notion of a "sound" argument is that it is "valid" AND the premises are, in fact, "true".

By this definition, then, to call an argument "sound", you are saying that the premises are "true", the logic is "valid", and the conclusion is therefore necessarily "true".

Thats what you know about the conclusion of a sound argument and why you know it.

Answer 2

This sounds more like an ethics/logic philosophy question than a math question. A conclusion of a sound argument is figuring out based on facts that you have investigated and proven to be true then something else must be true because of the things we already know. For example if you have an unknown number and you have a formula X is the number and X+3 = 8, then the number must be 5.

Answer 3

We don't.