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claim: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

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.

Alexander's argument that self-likeness in natural forms cannot be explained by artistic intention alone, requiring Proposition 2 for theoretical coherence.

Neighborhood — ranked by edge-count

Claims (1)

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The degree of life of each center is correlated with the degree to which that center is a picture of the self, and this holds for all people, not just individuals.
extends
Proposition 2 of the Mid-Book Appendix; the claim that self-likeness is a universal, species-wide measure of life.

Related by similarity (8)

cosine ≥ 0.65 · no typed edge

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

The intricate and beautiful structure of living centers comes about naturally, and most of the time without effort, as a result of the repeated application of structure-preserving transformations to the wholeness which exists.claim0.861
Central interpretive claim of the chapter, asserting that living structure is an effortless natural outcome of structure-preserving transformations.
Living structure—the field of centers—really is a mirror of the human heart.claim0.842
The structural correspondence between the objective field of centers and the subjective human self.
My claim in Book 2 is that the intricate and beautiful structure of living centers comes about naturally, and most of the time without effort, as a result of the repeated application of structure-preserving transformations to the wholeness which exists.quote0.842
Central thesis statement of the chapter, encapsulating the core idea that living structure arises effortlessly from structure-preserving transformations.
The places shown are living structures because they have this character (coherence, roughness, humanity).claim0.841
The selection criterion for the examples: their life resides precisely in their special character.
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.claim0.835
Alexander's strongest ontological claim: living structure is not probabilistically improbable but mathematically necessary given the principle of unfolding wholeness
Living structure will always rely on its connection to the same ground which underlay traditional forms of mysticism.claim0.826
A metaphysical assertion that the ground of all things is a necessary, permanent condition for creating living structure.
What reason might there be that the centers which appear in natural things, created by apparently mechanical processes of nature unfolding, would also resemble your self, and my self?question0.823
The deepest question driving Proposition 3: natural unfolding produces I-like centers, but why should a mathematical process care about self?
Buildings and objects with living structure enlarge our capacity for relatedness; those without deaden it, even in nature.claim0.823
Practical consequence for architecture and urbanism.