The idea that life is an inherent attribute of space itself is not merely an artificial theoretical device but is actually true, because it is needed for the recursion in the mathematics to work consistently.

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

• Life as Inherent Attribute of Spaceconcept0.855
  Alexander's Proposition 1: that life is not a mechanical property but a quality that space itself has, analogous to Maxwell's electromagnetic field.
• Life itself is a recursive effect which occurs in space. It can only be understood recursively as the mutual intensification of life by life.claim0.852
  Attempts to define life-in-space without external reference.
• The life which appears is an attribute of space itself.claim0.851
  The final distillation of the chapter's argument, making life a fundamental property of matter/space.
• Life is exactly that property of space in which each spot becomes unique according to its place in the larger scheme of things.claim0.850
  Definitional claim equating life with spatial uniqueness.
• Life occurs in space not as an attribute of living organisms but as an attribute of space itselfclaim0.841
  Radical ontological claim that life is a property of spatial configuration itself, not limited to biological organisms; the degree of life depends on the coherence of centers
• Life is not a limited mechanical concept; it is a quality which inheres in space itself and applies to every physical structure of any kind.claim0.832
  The fundamental thesis of the chapter and the book, redefining life as a universal spatial quality.
• 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.claim0.825
  Alexander's strongest ontological claim: living structure is not probabilistically improbable but mathematically necessary given the principle of unfolding wholeness
• The relative degree of life is already there, in the computable, mathematical, structure of the space.claim0.824
  Affirmation that life is not merely subjective but an objective, calculable feature of space.