concept
active
concept:powerset-with-inclusion-orderPowerset with Inclusion Order
Family of all subsets of a set X, ordered by set inclusion; serves as a canonical example of a complete lattice.
Neighborhood — ranked by edge-count
Frameworks (1)
framework
- Complete LatticescitesCentral mathematical structure explored throughout the paper; ordered sets with special properties for all suprema and infima.
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.
- David Bohm's framework where reality unfolds from an enfolded wholeness, considered by Bohm to be essentially the same as Alexander's wholeness.
- Fundamental structure: a set with a reflexive, antisymmetric, transitive relation.
- The complex, non-repeating order of a living neighborhood, analogous to Schrödinger's description of DNA.
- Order relations modeling approximation and information content; appears in string prefixes, interval approximations, and partial maps.
- Foundational hypothesis of Domain Theory: partial order structure (D, ⊑) captures information ordering without quantification.
- The partial order on classical probability distributions (Delta^n) that makes Shannon entropy a measurement on a domain.
- information exploitation outranks greedy quartet-chasing, which outranks conservative budgeting