A "conclusive argument" refers to a strong and convincing point or reasoning that settles or ends a debate because it leaves no doubt or room for disagreement. Full definition
But once the evidence about the harm from second - hand smoke became pretty conclusive the argument changed. (politics.co.uk)
You'd probably have to come up with a statistical model that estimates what the fluctuations should be given some basic assumptions on how people will buy to make a conclusive argument that there is something fishy here. (prestonbyrne.com)
Progress for the individual and the community will not come from dramatic new discoveries or conclusive arguments. (religion-online.org)