Information from point A to B can travel through C(m+n, n) distinct paths, which quickly exceeds the number of atoms in the visible universe.

Entities in the same semantic neighborhood but without a typed relation to this one — candidates for new edges or unrecognized duplicates.

• Information paths from A to B can exceed C(m+n, n) distinct routes, where m=position displacement and n=layer displacement.finding0.838
  Quantifies extreme redundancy in transformer routing; supports claim that introspection and interference patterns are architecturally permitted.
• The upper bound of what can be learned from a dataset is not the most capable trajectory, but the conditional structure of the universe implicated by their sum.claim0.780
  Key insight about predictive learning's potential.
• "We could continue to invent new and exciting mechanisms beyond context-orientation and Worlds, ad absurdum, or recognise they are all just points within a dimensionally unbounded space of related, self-similar mechanisms."concept0.778
  Claim that many advanced programming paradigms reduce to parameterizations of the n-way associative model.
• You can only get the profound multiple structure of centers by unfolding each bit from the previous state, allowing the next layer of structure to appear from the previously established layers.claim0.774
  Explains why time and sequence are essential for generated complexity.
• Each atom is unique according to its context, as confirmed by scanning tunneling microscope photographs.claim0.774
  Empirical support from atomic-scale imaging that even fundamental particles are unique.
• It becomes visible when the structure of a strong field of centers gently raises the lid, lifts the veil, and through the partial opening, we see, or sense, the glow of the Blazing One beyond.claim0.767
  Description of the experiential effect of a strong field of centers.
• We can sense, ahead of time, the quality of the completed whole, even when we cannot yet visualize it.claim0.766
• Half a dozen sequences taken together can have a very big effect on the environment and show a wholly new way of conceiving space.claim0.764
  Highlights the emergent power of even a small network of interlinked sequences.