My dudes.
It doesn't even make sense in context.
"While mainstream science widely accepts the existence of at least four dimensions, the library supports and lists evidence of the existence of at least 196,884 observable dimensions; that is, the number of dimensions that can be safely cataloged."
Alright. So these aliens can actually support the existence of 196,884 spatial dimensions.
"However, the number of dimensions that form the entire space-time are stated to be layered in sets of countable infinities; that is, there is an infinite number of dimensions in the unobservable universe; said infinities are themselves layered in countable sets. The number of layers is said to be unknown."
Wait, what? The sentence directly before this one just said the aliens could measure and support 196,884 dimensions. But now there are multiple layers of infinity even though nobody here can actually measure them? Who's producing this information? Because if we go by the previous sentence, it certainly isn't the aliens. Is it supposed to be some omniscient narrator? Because there isn't any sort of break in structure, yet these are still supposed to be research notes.
""Should we incorporate this in our theory? I mean, it's something that can be proven, no?"
"(In response to the above) No. Abide by the rules.""
My God, it's like it's self aware.
This reads like it's specifically done to expand on the level of the verse's cosmology, but it's not written well or in a way that actually makes sense. I'm pretty sure I brought up the idea of stuff like this that doesn't make sense, before. Like some offhand comment from a random Dark Eldar about how the Webway has infinite dimensions, which he'd have no way in hell of actually knowing and which doesn't make sense for some random dude to be saying (which is a thing from one of the Path of books, and the reason I didn't want to use it).
Though this leads into an even more important thing I've been meaning to bring up about Foundation canon, which I'll start in another comment.