The assertion chain starts out as flat binary, but becomes as 3-D as English semantics before the end of volume 1. IMHO the Principia is a non-orientable manifold.
Interesting.
"The Timaeus takes the same view of the universe as St. Paul's observation that "we see things as through a mirror darkly," the argument Plato also makes in describing the images of visible space as like the shadows cast upon the wall of a dark cave. The problematic feature of Plato's argument (and St. Paul's) on this point, is that a rational comprehension of the fuller meaning of this was not available in any available written source until Riemann's 1854 habilitation dissertation, On The Hypotheses Which Underlie Geometry. In Riemannian physics, the real, unseen universe is a continuous manifold. The images seen in that real world, the continuous manifold, are "projected" as visible events of sense-perception into a distorted spherical mirror, such that we see the continuous manifold projected onto that "mirror" in the form of apparently discrete objects moving about in empty, Euclidean space. This "mirror", called the discrete manifold, is a subsumed feature of the continuous manifold, and exists as if it were a mirror everywhere embedded within the subsuming continuous manifold."
PP> 172-173.Will this man become president?
Lyndon LaRouche
New Benjamin Franklin House (1983)
I am a casual collector of crackpot books.