"What I mean is that the wave itself — the system which in present-day science we have considered as a purely mechanical hydrodynamical system of moving water — has some degree of life"

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• The wave itself — the system which in present-day science we have considered as a purely mechanical hydrodynamical system of moving water — has some degree of life.concept0.957
  Alexander's definition of 'life' in broad sense, exemplifying how non-biological systems possess vitality.
• A wave breaking on the shore has some degree of life, not merely because of organisms within it, but the wave itself as a mechanical system has life.claim0.857
  Key example to show that life extends beyond organisms to inanimate dynamic systems.
• The living organism seems to be a macroscopic system which in part of its behaviour approaches that purely mechanical (as contrasted with thermodynamical) conduct to which all systems tend as the temperature approaches absolute zero.claim0.796
  Schrödinger's analogy highlighting that life maintains order akin to a system at very low temperature.
• Life is not a mechanical property but an inherent attribute of space itself, analogous to Maxwell's electromagnetic field creating light.claim0.788
  Proposition 1 of the Mid-Book Appendix; the most fundamental metaphysical claim of the theory.
• 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.claim0.782
  The fundamental thesis of the chapter and the book, redefining life as a universal spatial quality.
• What we call 'life' is a general condition which exists, to some degree or other, in every part of space... every connected region of space... has some degree of life, and that this degree of life is well defined, objectively existing, and measurable.hypothesis0.778
  The central predictive/causal hypothesis of the book, to be tested in later chapters.
• 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.hypothesis0.776
  Alexander's conditional prediction: if the recursive calculus works, then life-as-attribute-of-space must be a real feature of the universe.
• Present-day physics is completely governed by a system of differential equations... this entire rich system is now completely contained in a single theorem, the principle of least action.quote0.775
  Planck's statement cited to establish the generality and indispensability of least action before Alexander argues it is still insufficient