The fifteen properties appear in nature because they are structural complements to the formation of stable and semistable systems, contributing to coherence and stability.

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 the ways centers sustain each other's coherence, thereby contributing to the stability and robustness of natural systems.claim0.911
  Proposed as the reason the properties appear in functionally stable or semistable systems.
• The fifteen properties appear in nature as a direct result of repeated structure-preserving transformations unfolding the wholeness.claim0.892
  Interpretation that the geometric properties of living structure are not arbitrary but arise inevitably from the smooth unfolding process.
• Why do the fifteen properties occur in nature?question0.878
• The fifteen properties appear again and again throughout nature at all scales, from subatomic particles to galaxies.claim0.869
  A summary claim supported by the many natural examples for each property.
• 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.
• The fifteen properties are attributes of wholeness and appear naturally when one focuses on enhancing the whole through structure-preserving transformations.claim0.863
  Linking the fifteen properties to the process of seeking wholeness.
• The fifteen structural properties are not the most fundamental aspect of the theory; they are consequences of the existence of centers and their interdependence.claim0.862
  Alexander's retrospective account of how his theory evolved, demoting the fifteen properties from foundational to derivative status.
• The fifteen properties are fundamental to the existence of wholeness and thus to all physical structures, not merely visual features of artifacts.claim0.861
  The chapter's central thesis, arguing that the properties are necessary manifestations of wholeness in any generated system.