The fifteen properties are not merely visual features which appear in works of art. ... they must be fundamental to the appearance of life in all centers that are generated or created in any system.

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

• The fifteen properties are fundamental to the existence of wholeness and thus to all physical structures, not merely visual features of artifacts.claim0.901
  The chapter's central thesis, arguing that the properties are necessary manifestations of wholeness in any generated system.
• The fifteen properties are the very simplest things which can possibly be used as a basis for assembly of a living thing, and it is from simplicity that they ultimately derive.claim0.860
  Justification for using the fifteen transformations as a foundation.
• The fifteen properties necessarily accompany the centers and symmetries in living structure.claim0.854
• The fifteen properties appear in nature because they are structural complements to the formation of stable and semistable systems, contributing to coherence and stability.hypothesis0.852
• The fifteen structural properties are not the most fundamental aspect of the theory; they are consequences of the existence of centers and their interdependence.claim0.849
  Alexander's retrospective account of how his theory evolved, demoting the fifteen properties from foundational to derivative status.
• The fifteen properties emerge directly and inevitably from the unfolding of the whole; it is these fifteen properties that guide all differentiations during development.claim0.846
  Alexander's claim that living structure properties are not incidental but are the operative mechanisms of wholeness-preserving transformation
• The fifteen properties are the ways centers sustain each other's coherence, thereby contributing to the stability and robustness of natural systems.claim0.845
  Proposed as the reason the properties appear in functionally stable or semistable systems.
• The fifteen properties, in their deepest form, provide the underpinning to the living experience and lovely comfort visible in the photographs.claim0.845
  The author explicitly ties the empirical photographs to his theoretical structure.