TA Aragorn and those great characters

After a bout of rhetorical analysis on advertisements, this blog is going to tackle a beloved figure of film and literature, Aragorn, and his speech before the Black Gates of Sauron. Here is the text: "Hold your ground! Hold your ground! Sons of Gondor, of Rohan, my brothers, I see in your eyes the same fear that would take the heart of me. A day may come when the courage of men fails, when we forsake our friends and break all bonds of fellowship, but it is not this day. An hour of wolves and shattered shields, when the age of men comes crashing down, but it is not this day! This day we fight!! By all that you hold dear on this good Earth, I bid you stand, Men of the West!!!"
It seems that the enthymeme of Aragorn is: What are the consequences of staying and fighting an insurmountable army on the future of Middle Earth? Aragorn would argue that staying and fighting an insurmountable army will preserve the future of Middle Earth, because making a stand before the Black Gate will ultimately result in the downfall of Sauron. His audience is a bunch of frightened men, who seem ready to retreat, thereby showing that they would disagree with his claim. Obviously they would agree with the implicit assumption that whatever results in the downfall of Sauron preserves the future of Middle Earth.
Aragorn begins his argument by appealing to ethos, his credibility not only as the king, but as a brother. The bulk of his argument rests on pathos. He appeals to the sense of honor inherent in he men of the west by painting a dismal picture and then refuting it. He tells them to stand because they believe in Middle Earth and what it stands for. His logos is definitely lacking, seeing how an army that outnumbers his about 100 to 1 stands before them.
An argument on the battlefield rarely resorts to statistics and research because that is now what the audience that is being addressed needs. I wouldn't care much if you told me that the odds of dying in battle were 34.7% if I saw a crazy guy with a sword running at me. Therefore, I believe that Aragorn's argument was sufficient, typical, accurate and relevant for his audience. After all, they did follow right behind him into the heat of battle. That would qualify as effective.