Lectic Order

Linear order on subsets of M used by Next Closure algorithm; equivalent to lexicographic order on incidence vectors.

Neighborhood — ranked by edge-count

concept

Next Closure Algorithm
associated_with
Efficient algorithm for computing all closed sets (intents or extents) in lectic order without storing exponential lists.

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.

long-range orderconcept0.735
Persistence of a macroscopic pattern across large scales; necessary for maintaining coherent outputs or structures
A-periodic orderconcept0.716
The complex, non-repeating order of a living neighborhood, analogous to Schrödinger's description of DNA.
Rectilinear Orderconcept0.711
The straight, orthogonal geometries that arise naturally from structural and functional forces in built forms.
Order (general mathematical structure of space)concept0.699
A most general system of mathematical structures arising from the nature of space, which has degrees of life.
Bayesian orderframework0.699
The partial order on classical probability distributions (Delta^n) that makes Shannon entropy a measurement on a domain.
Geometric Orderconcept0.696
The definite, strong, often rectangular spatial order that emerges in a building through the imposition of the aperiodic grid; gives the building its force and depth
Franciscan Orderinstitute0.689
Religious order founded by St. Francis of Assisi, referenced in Alexander's argument about pleasing oneself and pleasing God.
Order (versus Disorder)concept0.689
Low entropy, organized state; life maintains order by consuming negative entropy.