Life is not an algorithm, in the sense that it cannot be modelled by a Turing machine without losing essential creative, non-terminating aspects.

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

• 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.hypothesis0.785
  Alexander's conditional prediction: if the recursive calculus works, then life-as-attribute-of-space must be a real feature of the universe.
• The structures where life occurs just cannot be made in any other way — it is a categorical and mathematical must.claim0.783
• The life vs. machine distinction is relevant only to the lowest class of machines available in prior decades and is not fundamental.claim0.782
  Claim that the organism–machine dichotomy is outdated.
• When the process is correct, the creation of life follows almost automatically, without effort.claim0.779
• it is not possible to understand either the life of artifacts, or the process which creates this life, without realizing that in the end all living processes are processes which lead towards this Iclaim0.778
  Argument that a non-mechanical view of matter is necessary to account for architectural facts.
• One could not call this process a life-creating process.claim0.776
• The structures where life occurs just cannot be made in any other way.quote0.774
  Categorical assertion about the necessity of the living process.
• 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.claim0.772
  The fundamental thesis of the chapter and the book, redefining life as a universal spatial quality.