Algebraic & Set-Theoretic Structure¶
Primes that name the foundational structures of mathematics and the relations that preserve them: sets, partitions, and membership; groups, vector spaces, and categories; associativity, commutativity, and closure; isomorphism, symmetry, duality, and topological invariance.
28 primes in this family — primes that sit near one another in abstraction space (k-means over structural-signature embeddings). Each is shown with its structural–framed character and how distinctive (sparsely-neighbored) it is.
- Associativity — structural · mid
- Cardinality — structural · distinctive
- Category — — · mid
- Closure — structural · distinctive
- Commutativity — structural · distinctive
- Complement — — · mid
- Complementarity — — · crowded
- Discreteness — structural · crowded
- Disjointness — — · crowded
- Duality — structural · crowded
- Equivalence Relation — structural · crowded
- Formal System — — · crowded
- Group — — · crowded
- Intersection — — · crowded
- Isomorphism — structural · crowded
- Linear Independence — — · mid
- Local-to-Global Aggregation — — · crowded
- Measure — — · crowded
- Partition — — · crowded
- Relation — structural · crowded
- Set and Membership — structural · crowded
- Span — — · crowded
- Symmetry — structural · crowded
- Topology — structural · crowded
- Union — — · crowded
- Unity Test — — · crowded
- Vector Space — — · mid
- Well-Foundedness (Well-Ordering) — structural · crowded