The aliveness structure appears in both biological and artificial systems in recognizable form.

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

• 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.claim0.838
  Alexander's strongest ontological claim: living structure is not probabilistically improbable but mathematically necessary given the principle of unfolding wholeness
• A structure is truly generated, and perceived as having life, only when it has unfolded from a nice, beautiful sequence of differentiations.claim0.828
  The most profound claim of the chapter: the niceness of the sequence is directly perceptible in the built form and is the ultimate source of living quality.
• When a system of living processes acts in a human environment, two kinds of structures will appear within reach of every person: a unique private world and an attached public world.hypothesis0.821
  Predictive claim about the automatic spatial output of living process
• Living structure may be identified empirically by the extent to which it is a picture of one's self.claim0.820
  Alexander claims there is an empirical method for identifying living structure via reference to the universal entity within each person.
• The structures where life occurs just cannot be made in any other way.quote0.817
  Categorical assertion about the necessity of the living process.
• 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.claim0.815
  Defines living structure as the product of a truthful unfolding process that respects and preserves existing wholeness.
• There is nothing except the living structure of the world, and this living structure is all we need to reason with.claim0.814
  Radical assertion that function reduces to living structure, eliminating the need for external goals.
• The structure of living centers appears in natural things — snowdrops, waves, clouds, mountains, foxes, grains of sand — and these too resemble the human self, requiring that there be a deep connection under the surface.claim0.812
  Alexander's argument that self-likeness in natural forms cannot be explained by artistic intention alone, requiring Proposition 2 for theoretical coherence.