Contrast organizes natural systems from elementary particles to day/night cycles, and Spencer Brown's Laws of Form suggest it is fundamental to all structure.

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

• The results generalise readily to non-equilibrium systems where scaling relationships remain similar (e.g., dynamic or localised scaling).claim0.784
  Claim about broader applicability of the scaling argument
• Sequence of linked color pairs creates a gradient-like structure that points to and intensifies the main center, giving life to the whole.claim0.777
• Contrast, instead of separating things, brings them together when used to help centers become alive; contrast that fails to create deeper feeling is merely accidental or eye-catchingclaim0.776
  Claim distinguishing good contrast (Shaker schoolroom, which unifies) from bad contrast (glaring lobby staircase, which separates)
• If the evolution of the natural world follows a step-by-step process in which each step is structure-preserving, then the fifteen properties will appear more and more often, and the degree of life in the wholeness will increase steadily.hypothesis0.775
  Conditional statement linking smooth unfolding to the progressive emergence of the fifteen properties and increased life.
• 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.hypothesis0.773
  Extends the brutal geometry thesis beyond architecture into all creative and social domains; acknowledged as not yet confirmed with certainty
• In every natural developmental sequence examined, each state follows without breaking structure from the state before, exhibiting smooth structure-preserving unfolding essentially without exception.claim0.771
  The empirical-observational claim grounded in the diverse case studies presented in the chapter
• Close-knit adaptation of system elements arising over time is central observable in nature and human-formed ecological systems but eludes simple algorithmic formulation.claim0.770
  Alexander's core assertion that subtle adaptive processes are too simple and common-sense-based for conventional computation but profoundly important.
• The complex nature of functional relationships between component parts begins to look less like the product of selection at the system level, and more like the source of evolutionary individuality.claim0.769
  Inverts the causal arrow: relationships produce individuality, not vice versa.