claim
active
claim:the-tree-structure-can-be-reconstructed-from-its-versus-relationThe tree structure can be reconstructed from its versus relation.
Statement that the versus relation uniquely determines a tree.
Neighborhood — ranked by edge-count
Concepts (1)
concept
- Versus-Relationassociated_withTernary relation xy|z defined on leaves of a tree as z ≰ x ∨ y; encodes the structure of evolutionary trees.
Related by similarity (8)
cosine ≥ 0.65 · no typed edgeEntities in the same semantic neighborhood but without a typed relation to this one — candidates for new edges or unrecognized duplicates.
- A hierarchical branching structure with single-parent nodes, which Alexander rejected for urban design.
- Central open question in evolutionary tree analysis: find axioms describing versus-relations derived from trees.
- Proposed difference between ADHD (graph-structured) and neurotypical (tree-structured) mental organization for tanha management.
- Categorical assertion about the necessity of the living process.
- The profound principle that underlies all living structure; symmetry as the mathematical trace of necessity.
- 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.
- Concise statement that underscores the necessity of the generated process for real complexity.