The fifteen properties arise because they are the principal ways in which centers can be strengthened by other centers

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 fifteen ways in which centers can enliven one another.claim0.880
  Recapitulation of the Book 1 definition, linking the properties to the mutual intensification of centers.
• The fifteen properties are the ways centers sustain each other's coherence, thereby contributing to the stability and robustness of natural systems.claim0.864
  Proposed as the reason the properties appear in functionally stable or semistable systems.
• It is the field of centers which is primary, not these fifteen properties, and the properties are simply aspects of the field which help us understand concretely how the field worksclaim0.856
  Meta-theoretical claim that the fifteen properties are derivative from the deeper reality of the field of centers; the properties are pedagogical tools rather than fundamental
• The fifteen properties appear in nature because they are structural complements to the formation of stable and semistable systems, contributing to coherence and stability.hypothesis0.845
• The fifteen properties are attributes of wholeness and appear naturally when one focuses on enhancing the whole through structure-preserving transformations.claim0.844
  Linking the fifteen properties to the process of seeking wholeness.
• The fifteen properties, the field of centers, and the wholeness thoroughly and completely determine the way that buildings work.claim0.842
  Universality claim that the same geometric properties govern both beauty and function.
• The fifteen structural properties are not the most fundamental aspect of the theory; they are consequences of the existence of centers and their interdependence.claim0.835
  Alexander's retrospective account of how his theory evolved, demoting the fifteen properties from foundational to derivative status.
• I finally recognized that it is the field of centers which is primary, not these fifteen properties, and that the properties are simply aspects of the field which help us to understand concretely how the field works.quote0.831
  Meta-theoretical revelation about the ontological priority of the field of centers over the fifteen properties