The formal concepts with frequent intent form an order filter in the concept lattice, called the iceberg.

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

• The information contained in the formal context is preserved when transformed into a concept lattice.claim0.807
• The Internet is a communal memory that makes it possible for good sequences to be exchanged and spread rapidly.claim0.770
  Identifies the Internet as the natural location and accelerator for the gene pool of morphogenetic sequences.
• Concept Lattice (Formal Concept Analysis)framework0.770
  Theory developed by R. Wille and TH Darmstadt group; reveals hierarchical structure in binary relations through lattices of formal concepts.
• The likelihood of a dedicated feature for a concept (element, city, animal, food) follows a sigmoid in log-frequency of the concept in training data, with threshold frequency inversely proportional to number of alive features.finding0.765
  Quantitative relationship between concept frequency and feature presence.
• We hypothesize that a similar 'brutal' and purely geometric process always occurs somewhere in other kinds of unfolding that generate living order — in poetry, dance, social structure, planning, and family relationships.hypothesis0.758
  Extends the brutal geometry thesis beyond architecture into all creative and social domains; acknowledged as not yet confirmed with certainty
• There appears to be a systematic relationship between the frequency of concepts and the dictionary size needed to resolve features for them.claim0.755
  Feature presence depends on concept frequency in training data, with a threshold scaling inversely with alive features.
• Order provides terminology, notation, and models across diverse areas of computer science including comparisons of size, information content, and definedness.claim0.755
• The interactive processes described are reversible in a very strong sense, linking logic and physicsclaim0.755
  Partial involutions are invertible; the same structures can axiomatize quantum mechanics and analyse entanglement.