The fifteen properties are the fifteen ways in which centers can enliven one another.

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

• The fifteen properties arise because they are the principal ways in which centers can be strengthened by other centersclaim0.880
  Central interpretive claim of the chapter: the fifteen properties are not independent observations but all reduce to ways that centers help each other come to life in space
• The fifteen properties are the ways centers sustain each other's coherence, thereby contributing to the stability and robustness of natural systems.claim0.875
  Proposed as the reason the properties appear in functionally stable or semistable systems.
• The fifteen properties, the field of centers, and the wholeness thoroughly and completely determine the way that buildings work.claim0.866
  Universality claim that the same geometric properties govern both beauty and function.
• The fifteen properties necessarily accompany the centers and symmetries in living structure.claim0.866
• The fifteen properties are not independent; they overlap, and each property is partly defined in terms of the other fifteen propertiesclaim0.853
  Meta-claim about the logical structure of the properties: the more carefully each is defined, the more it relies on the others, revealing their common origin in the field of centers
• 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 worksclaim0.852
  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 structural properties are not the most fundamental aspect of the theory; they are consequences of the existence of centers and their interdependence.claim0.852
  Alexander's retrospective account of how his theory evolved, demoting the fifteen properties from foundational to derivative status.
• 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.claim0.850
  Justification for using the fifteen transformations as a foundation.