Each living center has life to the extent it is linked to other centers; likewise, sequences generating living centers are interdependent.

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

• The key thing about all LIVING sequences is that they generate centers in an order which lets each center unfold naturally from the centers laid down before.claim0.884
  Defines the essential structural property that a sequence must have to be living.
• Now, each living center has life to the extent that it is linked to other living centers (see Book 1 / INTRODUCTION chapter 4).quote0.872
  Direct statement linking center-interdependence to the concept of life, foundational for the network argument.
• At each step, doing the simplest thing that can be done to intensify existing centers will produce living structure.hypothesis0.837
  Operational hypothesis equating simplicity of step with emergence of life.
• Even with non-linear dynamics and complexity theory, the specific appearance of the fifteen properties and emergence of living centers in the world remains largely unexplained.claim0.833
  Alexander's critical assessment of the limits of current complexity science relative to his explanatory target
• There must be some relation between the ultimate nature of a living center and the nature of the I.hypothesis0.831
  The hypothesis that the deepest aspect of centers is identical with the I-like presence.
• Each center gets its life, always, from the fact that it is helping to support and enliven some larger center.claim0.831
  The fundamental recursive rule of living centers.
• The intricate and beautiful structure of living centers comes about naturally, and most of the time without effort, as a result of the repeated application of structure-preserving transformations to the wholeness which exists.claim0.831
  Central interpretive claim of the chapter, asserting that living structure is an effortless natural outcome of structure-preserving transformations.
• The step-by-step evolution of living centers, in a progressive differentiating process, is a biological necessity — an essential part of the adaptation of a complex system.claim0.822
  Claims that unfolding is not a stylistic choice but a biological requirement for adaptive buildings.