The unfolding of wholeness through structure-preserving transformations must inevitably create the fifteen properties.

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

• The fifteen properties appear in nature as a direct result of repeated structure-preserving transformations unfolding the wholeness.claim0.905
  Interpretation that the geometric properties of living structure are not arbitrary but arise inevitably from the smooth unfolding process.
• The fifteen properties are attributes of wholeness and appear naturally when one focuses on enhancing the whole through structure-preserving transformations.claim0.894
  Linking the fifteen properties to the process of seeking wholeness.
• Every wholeness carries a latent structure that we must feel to perform structure-preserving transformations.claim0.883
• The fifteen structure-preserving transformations conserve existing structure and also create entirely new coherent wholes.claim0.868
  Explains the seeming paradox that living process respects what is there yet generates novelty, without arbitrary insertion.
• The fifteen properties emerge directly and inevitably from the unfolding of the whole; it is these fifteen properties that guide all differentiations during development.claim0.867
  Alexander's claim that living structure properties are not incidental but are the operative mechanisms of wholeness-preserving transformation
• The fifteen properties are fundamental to the existence of wholeness and thus to all physical structures, not merely visual features of artifacts.claim0.866
  The chapter's central thesis, arguing that the properties are necessary manifestations of wholeness in any generated system.
• The fifteen properties come into existence naturally as a result of the structure-preserving process.claim0.864
  Claim that the properties are not applied artificially but are consequences of correct unfolding.
• 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.hypothesis0.858
  Conditional statement linking smooth unfolding to the progressive emergence of the fifteen properties and increased life.