Argument Structure & Evidentiary Reasoning

Abstractions about the structure of claims and arguments and how they are tested for warrant — specious reasoning patterns (slippery slope, middle ground fallacy, kettle logic), formal argument decomposition (Toulmin model, deliberative rhetoric, Hume's law), and evidence and trust chains (sourcing ladder, review, authentication failure).

12 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.

• Apportionment Paradox — Recognize that integer rounding of real-valued quotas makes four fairness axioms — quota, house, population, and new-states monotonicity — jointly unsatisfiable, so choosing an apportionment rule is choosing which guarantee to surrender.
• Authentication Failure — The breakdown of a system's identity-verification, in which a claim is accepted when it should not be — because the procedure checked too little, the wrong evidence, or evidence an impostor could produce — yielding a session that inherits the real actor's privileges and corrupts every control conditioned on 'who is this?'
• Betteridge's Law of Headlines — The editorial heuristic that any headline phrased as a yes/no question can reliably be answered 'no' — because a reporter who could assert a claim writes it declaratively, so the question mark signals evidence too thin or risky to source.
• Deliberative Rhetoric — The Aristotelian genre of public speech that advises a deciding body on future action by weighing expected advantage against harm — classified by aim and temporal orientation, not surface form, and carrying a distinct forecast-under-uncertainty proof-burden.
• Humes Law
• Immaterial Spatial Entity — A spatial particular — a hole, room, or border — that has a location, shape, and history yet is constituted of no matter, individuated instead by its relation to material bearers, and admitted (or not) as a first-class entity by whether eliminating it into bearer-talk loses a fact.
• Kettle logic — A defensive pattern in which an arguer offers several mutually contradictory defenses at once — each sufficient alone but jointly self-undermining — so the scatter is itself evidence that none is relied upon and the aim is deflection by volume, not vindication.
• Middle Ground Fallacy — Detect the error of concluding the truth must lie between two opposed positions merely because they are opposed — substituting a positional operation for an evidential one — by asking whether the midpoint keeps its credibility once one position is shown unsupported.
• Review — A structured evaluative artifact linking four slots — an identified evaluator, a bounded object under evaluation, a verdict, and a warrant — into a persisted, addressable record, so evaluative testimony becomes aggregable, citable, and revisable.
• Slippery Slope — Flag a consequence-chain argument as fallacious when its inter-step links are held together only by conceivability rather than a demonstrated mechanism, so it blocks a proposal by gesturing at a speculative terminus.
• Sourcing Ladder — Rank the sources backing a claim by directness, independence, expertise, and accountability, then resolve disagreements by letting the higher rung win and cap a chain's confidence at its weakest load-bearing link.
• Toulmin Model — Decompose an informal argument into six named slots — claim, grounds, warrant, backing, qualifier, rebuttal — so evaluation becomes a completeness check that isolates the usually-implicit warrant, where almost every contested dispute actually lives.