These results will open the door to a new way of discussing the fifteen properties

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

• What are the interactions among the fifteen properties?question0.833
  The central research question driving the correspondence analysis.
• The fifteen properties are not independent; they overlap, and each property is partly defined in terms of the other fifteen propertiesclaim0.827
  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
• The 15 properties will necessarily come into being as a result of any life-creating process.claim0.817
  Assertion linking the theory of properties to the dynamics of unfolding.
• How can the Fifteen Properties be meaningfully applied to domains beyond architecture and design?question0.815
  Motivating question suggesting that deeper understanding of property interactions would enable broader application of Alexander's framework.
• 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.claim0.802
  Justification for using the fifteen transformations as a foundation.
• The fifteen properties emerge directly and inevitably from the unfolding of the whole; it is these fifteen properties that guide all differentiations during development.claim0.795
  Alexander's claim that living structure properties are not incidental but are the operative mechanisms of wholeness-preserving transformation
• The fifteen properties are the fifteen ways in which centers can enliven one another.claim0.795
  Recapitulation of the Book 1 definition, linking the properties to the mutual intensification of centers.
• The fifteen properties, the field of centers, and the wholeness thoroughly and completely determine the way that buildings work.claim0.787
  Universality claim that the same geometric properties govern both beauty and function.