Formal Composition & Recursion

Primes about the formal mathematics of composition and recursion: associativity and commutativity, isomorphism and compositionality, cardinality and well-foundedness, mathematical induction, hierarchy, completeness, infinite regress.

10 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 · distinctive
• Cardinality — structural · distinctive
• Commutativity — structural · distinctive
• Completeness — structural · mid
• Compositionality — structural · mid
• Hierarchy — structural · distinctive
• Infinite Regress — structural · distinctive
• Isomorphism — structural · mid
• Mathematical Induction — structural · mid
• Well-Foundedness (Well-Ordering) — structural · mid