Logical & Analytical Diagnostics

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Abstractions that share only loose connective tissue around diagnosing structure or failure, spanning analytic classification (classification of discontinuities, transitive set), inference and reasoning tools (condensed detachment, variable elimination, Newton's flaming laser sword), and perceptual or memory displacement (representational momentum).

6 abstractions in this family — domain-specific abstractions that sit near one another in structural-signature space (k-means over structural-signature embeddings). Each is shown with its short description.

• Classification of Discontinuities — A real-analysis taxonomy that diagnoses failure of continuity by the existence, finiteness, equality, and function-value agreement of one-sided limits.
• Condensed Detachment — An inference rule that unifies an implication’s antecedent with a minor premise and detaches the most general resulting consequent.
• Newton's Flaming Laser Sword — A philosophical razor that withholds serious dispute from propositions unless precise reasoning connects them to observable consequences capable of settling the dispute.
• Representational Momentum — Measure the systematic displacement of a remembered terminal state forward along an object's or pattern's implied dynamics after the display stops.
• Transitive Set — A set that contains every member of each of its members, equivalently a set T satisfying union(T) subseteq T.
• Variable Elimination — An exact factor-based inference algorithm that removes nonquery variables one at a time by combining their incident factors and summing or optimizing them out, with complexity controlled by elimination order.