Formal Methods & Idealized Models

Primes about the design principles, formal procedures, and idealized baselines used to build and reason about systems: algorithms, axioms, and computability; invariance, inversion, and iteration; least-privilege and robustness; and the impossibility results and frictionless-substrate fallacies that bound them.

31 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.

• Algorithm — structural · crowded
• Approximation — structural · distinctive
• Axiom — — · crowded
• Axiomatic Incompatibility — — · crowded
• Comparative Statics — — · distinctive
• Computability — — · crowded
• Consistency Model — — · crowded
• Denormalization — — · mid
• Diagonal Impossibility — — · distinctive
• Frictionless Benchmark Reasoning — — · crowded
• Gall's Law — — · distinctive
• Idealized-Substrate Fallacy — — · distinctive
• Inconsistent Shared Model — — · crowded
• Invariance — structural · crowded
• Inversion — structural · mid
• Iteration — structural · mid
• Law of Conservation of Complexity — — · crowded
• Lazy Evaluation — — · distinctive
• Open-Closed Principle — — · crowded
• Operationalization — — · distinctive
• Parrondo's Paradox — — · crowded
• Principle of Least Privilege — — · mid
• Progressive Refinement from Core Model — structural · distinctive
• Robustness — structural · crowded
• Rule of Least Power (Minimum Sufficient Capability) — — · mid
• Sacrifice Periphery To Defend Core — — · crowded
• Self Checking — — · distinctive
• Superposition — structural · mid
• Trilemma — — · mid
• Verifier-Prover Asymmetry — — · mid
• Zero-Force Null Baseline — — · distinctive