————— Throwing mental spaghetti at @suresly last night got me thinking about Jyggalag's Great Library. There aren't many indicators as to how far his knowledge went, but we do have this quote from Dyus :

The great library was the height of logic and deduction. Contained within its walls were the logical prediction of every action ever taken by any creature, mortal or Daedric. Every birth. Every death. The rise of Tiber Septim. The Numidium. Everything. All predicted with the formulae found within Jyggalag's library. When Sheogorath discovered the library he had it burned, insisting that it was an abomination and that personal choice defied logical prediction. I am all that remains of the knowledge contained within the great library of Jyggalag.

Based on this, we DO know that Jyggalag's knowledge rides solely on logic, order, and deduction. We DO NOT know what Jyggalag qualifies as 'logic, order, and deduction'. Sure, Jyggalag is ( /was ) the Daedric Prince of Order, but his version of order in and of itself could subjectively be called 'chaotic'. Conquest may have rules, but there is no order in war. How would this affect his calculations? What does he seek when he says, 'order' ?

We DO know that there were predictions based on these subjective criteria and that many of these predictions did come to pass. All that said, we DO NOT know their true accuracy. Yes, he knew every birth, but how far did his predictions go? Did he know the names and faces? Did he know the parents? Did he keep track of the moons for the Khajiit? His demeanor implies that he wouldn't care to. How extensively did he look at death? Did his predictions go all the way back to indirect causes ( ex: prolonged exposure to a specific plant in childhood making someone more susceptible to the illness that ultimately claimed their life ), or was everyone a statistic with no further meaning beyond what they could contribute to his numbers game? Events can be predicted through careful calculation, yes, but the world is filled with prophets who only speak of their successes. Were all of Jyggalag's predictions accurate, or only the ones we know about? With that in mind, what does that mean for his initial transformation into Sheogorath? Could he feel the Madgod taking over the same way that the Madgod can feel him? Does the battle between the two ever really stop?

The Sword of Jyggalag alone kind of implies that the Daedric Prince of Order did have access to all knowledge. However, the purpose of his library isn't really specified. Who would be reading from it? Surely, it wasn't him; he has his own ways of knowing these things. It was by his hand that the library and the sword were created. The only 'BENEFIT' that a place like this would bring to someone else is limited foresight, but there is little order in that. The only other answer could be governmental.

In a lot of ways, Sheo was right to burn the library. Because even if everything that Jyggalag ever predicted came to pass, even if he knew every single event in the history and future of Mundus and Oblivion, even if he were never wrong;

none of it really matters.

Jyggalag did little more than document turbulence, ergodicity, and chaos. All that he has ever been or was ever meant to be was the tether for chaos—destined to stay in one immovable place as his real self flies at whim, spinning around and around and around, just to get wound up and fall back into merciless entropy.