Arguments are always about things that are controversial. We may make arguments about scientific matters that are not well-known and thus cannot be controversial. Every argument must have a conclusion. An argument must have a point that is being made, though that point might be implicit. All cogent arguments are sound arguments.
Sound arguments meet the R and G conditions by being deductively valid.
A cogent inductive argument would not be sound. All cogent arguments are valid arguments. Deductively valid arguments are not inductively strong so a cogent argument that was inductively strong would not be valid. If the premises of an argument are false, the argument is invalid. A vague word has two or more definitions.