A structure is truly generated, and perceived as having life, only when it has unfolded from a nice, beautiful sequence of differentiations.

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

• The real essence of generated structures lies in the structure-preserving transformations which move the structure forward through time.claim0.871
  Core claim that distinguishes generated from mere evolutionary adaptation; the transformations are necessary for unfolding.
• The structure we know as living structure is just that kind of structure which has unfolded smoothly and naturally, arising step by step from what exists, preserving the structure of what exists.claim0.861
  Defines living structure as the product of a truthful unfolding process that respects and preserves existing wholeness.
• Life is structural, a quality that comes about because of the existence of a discernible structure in the wholeness.claim0.858
  The central thesis of the chapter, setting up the explanation of how life emerges.
• The structures where life occurs just cannot be made in any other way.quote0.848
  Categorical assertion about the necessity of the living process.
• Life and living structure will appear in the world inevitably because the mathematical way space gives rise to structure necessarily reinforces wholeness as part of its most normal evolution.claim0.845
  Alexander's strongest ontological claim: living structure is not probabilistically improbable but mathematically necessary given the principle of unfolding wholeness
• When architectural structure is an unfolded one — created by repeated application of living processes — then what comes from it is a world where people are able to feel happy, free, and themselves.claim0.841
  Main thesis linking living structure to human happiness.
• The creation of living structure cannot be done in any other way.claim0.840
• Any part of the world we build will have life if it is created by structure-preserving transformations, and will not have life if it is not created by structure-preserving transformations.claim0.838
  The central thesis of the chapter.