Locality & Local-to-Global Structure

Primes about how local context, proximity, and short-range constraints determine global behavior and categorization, spanning locality of reference, neighborhood structure, local sequence legality aggregated into a global verdict, prototype-centered categories, ordered sequencing, and the tool-shaped bias of the law of the instrument.

8 primes in this family — primes that sit near one another in abstraction space (k-means over structural-signature embeddings). Each is shown with its short description.

• Hashing — Deterministically reducing any object to a short fixed-size token used as its handle.
• Law of the Instrument — The tools an agent possesses systematically bias what it recognises as a problem, what category the problem is sorted into, and what intervention is generated — the world's joints get carved into shapes the tool can grip, and joints it cannot grip become invisible.
• Local Sequence Legality — The acceptability of an arrangement of units drawn from a finite inventory is decided by local constraints over short windows of context, prior to and independent of higher-level interpretation, so global legality is the composition of local verdicts.
• Local-to-Global Aggregation — Locally checkable properties promote to a global verdict under an explicit aggregation discipline.
• Locality Of Reference — Accesses cluster in time and space, making prediction and caching effective.
• Neighborhood — The local-context window of elements close to a focal point under a proximity structure.
• Prototype Theory — Categories are organized around their best examples rather than by necessary-and-sufficient definitions, modeling kinds as centers with gradients rather than boxes with edges.
• Sequencing — Deliberately ordering steps under precedence constraints so that the arrangement itself, not just the set of tasks, determines the outcome.