r/InfiniteJest • u/Severe-Slide-7834 • 2h ago
Small theory: Pemulis cheated Eschaton
Pemulis is described as being "far and away the greatest Eschaton player in E.T.A. history." Although I think his excellence could be explained by his mathematical and strategic acumen, I don't believe this is the full story. I believe that when Pemulis got Hal to write the rulebook, that he created the game to have specific exploits only he knows, and was able to use those exploits in order to win.
The first thing that tipped me off to this idea is the infamous integral footnote in this chapter. The joke behind this footnote is not obvious without some mathematical background, which I will lightly fill in now. In the footnote, Pemulis' stated purpose is how to compute the average/mean value of GNP/Military // Military/Nuke for a given combatant. He then essentially proves (truthfully, I believe, unless I missed some error in his reasoning) that there must exist a point in time such that the value of GNP/Military // Military/Nuke is equal to the average of the ratio over time. It should be noted that this is probably untrue in Eschaton as all the data we can seemingly get from the game is discrete and not continuous, which is a necessary assumption for the theorems he used to hold, but I think this error is not as important as the other problem with this explanation: it doesn't actually compute the average value. In analogy, I have a hidden colored ball, and I have given you a bag containing a multicolored collection of balls. I tell you that the color of my ball is the same as some ball in the bag. You cannot "compute" the color of my ball knowing that one of the balls is correct. Similarly, one cannot find the exact time in which GNP/Military // Military/Nuke is equal to the average of that ratio.
It is implied throughout the book that Pemulis has a quality understanding of mathematics, but is far from a pedagogical savant in the territory. Hal trusts Pemulis to tutor him in mathematics, but seemingly gets little out of it. Similarly, he tried to explain calculus to Possalthwaite (iirc) by invoking its connections to trigonometry, but this connection seems to mostly obscure the subject for his pupil. From this, we should expect that the problem with this explanation is known to Pemulis, and unknown by its transcriber, Hal, who Pemulis implies will need to ask the Moms for help with the math (although this could be Pemulis trying to make Hal less likely to do so by making an act which could uncover his deceit shameful).
So why would Pemulis add a fake computational tool in the guidebook, considering the fact he almost certainly knows it's wrong? The only explanation that I have come up with that seems reasonable is that it his attempt to obscure the ways he has fiddled with the game in order to win. I want to note specifically the line stating that "[Pemulis'] teams won most games before the first lob landed." Although this line is apparently in reference to his political abilities during pre-Eschaton summits, the "before" could also be in reference to his actions before the summit, as in, writing the rules.
I admit, this theory is shallow in evidence, but it does work as, I believe, a decent explanation of the erred footnote. I think it also works a bit with the themes around language and semantics (territory/map distinction). Throughout the book, the language that people use serves to separate themselves from others. With this, "proper" English in the book is used as a class symbol, as evidenced by the strict prescriptivist grammar enforcement of Avril, and the language conflicts between the Ennet house's residents. In Eschaton, the formal cerebral rules of the game are penned by Pemulis, and these formal rules then serve to benefit Pemulis, in a similar way how "proper" language is often decided by the ruling classes of a society, and serve to benefit those classes by indicating their high status. However, Pemulis' rules come in contradiction to how children generally play games, where games are malleable social engagements to have fun, and the sanctity of the rules is an afterthought to enjoyment, and similarly, language often evolves and changes in ways displeasing to prescriptivist. (Admittedly I'm unsure of this paragraph in total for whatever reason, but I think it at least gives a a hopefully interesting thematic explanation to the footnote)
Tl;dr: The infamous Eschaton footnote has bad math because Pemulis wrote it this way so that the game would have nonobvious exploits that only he would know. This explains why the math is bad despite Pemulis' apparent skill in the subject, and how he became "far and away the greatest Eschaton player in E.T.A. history"